Polytope of Type {4,14} with group SmallGroup(1792,1083553)

Overview

Group: SmallGroup(1792,1083553)
Rank: 3
Schläfli Type: {4,14}
Vertices, edges, …: 64, 448, 224
Order of s₀s₁s₂: 14
Order of s₀s₁s₂s₁: 4
Also known as: if this polytope has a name.

Special Properties

Compact Hyperbolic Quotient
Locally Spherical
Non-Orientable

Quotients maximal quotients in bold

2-fold

{4,7}*896

Covers minimal covers in bold

None in this atlas.

Irregular Quotients of which this is a minimal cover

Click an entry to reveal its facets and vertex figures.

P/N, where N=<s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 2

112 facets

112 of {4}*8

32 vertex figures

32 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s0*s2*s1*s2> of order 2

112 facets

112 of {4}*8

32 vertex figures

32 of {14}*28

P/N, where N=<s1*s0*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 2

112 facets

112 of {4}*8

32 vertex figures

32 of {14}*28

P/N, where N=<s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 2

112 facets

112 of {4}*8

32 vertex figures

32 of {14}*28

P/N, where N=<s1*s0*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 2

112 facets

112 of {4}*8

32 vertex figures

32 of {14}*28

P/N, where N=<s1*s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3> of order 2

112 facets

112 of {4}*8

32 vertex figures

32 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2> of order 2

112 facets

112 of {4}*8

32 vertex figures

32 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s2*s1)^4*s0*s2*s1*s2> of order 2

112 facets

112 of {4}*8

32 vertex figures

32 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 2

112 facets

112 of {4}*8

32 vertex figures

32 of {14}*28

P/N, where N=<(s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2> of order 2

112 facets

112 of {4}*8

32 vertex figures

32 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 2

112 facets

112 of {4}*8

32 vertex figures

32 of {14}*28

P/N, where N=<s1*(s2*s1*s0)^3*(s2*s1)^3*s2> of order 2

112 facets

112 of {4}*8

32 vertex figures

32 of {14}*28

P/N, where N=<(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3> of order 2

128 facets

96 of {4}*8
32 of {2}*4

32 vertex figures

32 of {14}*28

P/N, where N=<(s2*s1*s0)^2*(s1*s2)^2, s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3> of order 4

72 facets

40 of {4}*8
32 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, (s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1> of order 4

72 facets

40 of {4}*8
32 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*s1)^2, s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

64 facets

16 of {2}*4
48 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*s0*(s2*s1)^5*s0*s2*s1*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s2)^2*s1*(s0*(s2*s1)^2)^2*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 4

64 facets

48 of {4}*8
16 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, s0*(s2*s1)^2*s0*(s1*s2)^2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1, (s1*s0*s2)^2*s1*s0*(s2*s1)^4*s2> of order 4

64 facets

48 of {4}*8
16 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2, s1*(s2*s1*s0)^3*(s2*s1)^3*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, (s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3> of order 4

64 facets

48 of {4}*8
16 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s1*s0*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s1*s0*(s1*s2)^2)^2, (s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3> of order 4

64 facets

48 of {4}*8
16 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*(s1*s2)^2*s1)^2, s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s2*s1)^3*s0*(s1*s2)^3, (s1*s2)^2*s1*s0*(s1*s2)^3*s1*s0*s1*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, s0*(s2*s1)^3*s0*(s1*s2)^3> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*s1)^2, s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 4

64 facets

16 of {2}*4
48 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s2*s1)^3*s0*(s1*s2)^3, s0*s1*s0*s2*s1*s0*(s2*s1)^5*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*(s2*s1*s0)^2*(s2*s1)^4*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s1*s2)^3*s1*s0*s2*s1*s0*(s2*s1)^2*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*(s1*s2)^2*s1*s0*s2*s1*s0*(s2*s1)^3*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, (s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1> of order 4

72 facets

40 of {4}*8
32 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 4

64 facets

48 of {4}*8
16 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, (s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1> of order 4

64 facets

48 of {4}*8
16 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s1*s2)^4*(s1*s0*s2)^2*s1*s2, s1*s0*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s1*s2)^3*s1*s0*(s2*s1)^2*s0*s2*s1*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*(s1*s2)^4*(s1*s0*s2)^2*s1*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s1*s0*(s1*s2)^2)^2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s2*s1*s0)^2*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2> of order 4

64 facets

48 of {4}*8
16 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*(s1*s2)^2*s1)^2, s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 4

64 facets

48 of {4}*8
16 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s1*s2)^2*s1*(s0*(s2*s1)^2)^2*s2, s1*s0*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s1*s0*(s1*s2)^2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

64 facets

48 of {4}*8
16 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<(s1*s0*s2)^2*s1*s0*(s2*s1)^4*s2, s1*s0*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, (s1*s2)^2*s1*s0*(s1*s2)^3*s1*s0*s1*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, s0*s1*(s0*(s2*s1)^3)^2*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*(s1*s2)^2*s1)^2, s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2, (s1*s2)^2*s1*s0*(s1*s2)^3*s1*s0*s1*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*(s1*s2)^2*s1)^2, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*(s1*s2)^2*s1)^2, (s1*s2)^3*s1*s0*(s2*s1)^2*s0*s2*s1*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s1*s0*(s1*s2)^2)^2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2, (s1*s2)^2*s1*s0*(s1*s2)^3*s1*s0*s1*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2, s1*s0*(s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, (s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3> of order 4

64 facets

48 of {4}*8
16 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s1*s0*(s2*s1)^5*s0*s2*s1*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, (s1*s2)^3*s1*s0*(s2*s1)^2*s0*s2*s1*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3, s0*(s1*s2)^2*s1*s0*(s2*s1)^4*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*s1)^2, s0*s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 4

64 facets

16 of {2}*4
48 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, (s1*s2)^2*s1*(s0*(s2*s1)^2)^2*s2> of order 4

64 facets

48 of {4}*8
16 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*s0*(s2*s1)^5*s0*s2*s1*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*(s1*s2)^3*s1*s0*(s2*s1)^2*s0*s2*s1*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*s0*(s2*s1)^4*s0*(s2*s1)^2*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1, s1*s0*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s1*s2)^2*s1*s0*s2*s1*s0*(s2*s1)^3*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s1*s0*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 4

64 facets

48 of {4}*8
16 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s1*s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*(s1*s2)^2*s1*(s0*(s2*s1)^2)^2*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2, s1*s0*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1, s1*s0*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*(s2*s1*s0)^2*(s2*s1)^4*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2, s1*s0*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 4

64 facets

48 of {4}*8
16 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s1*s2)^2*s1*(s0*(s2*s1)^2)^2*s2, s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1*s0*s1*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s2*s1)^4*s0*s2*s1*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^5*s0*s2*s1*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*s2*s1*s0*(s2*s1)^5*s2, s0*s1*(s0*(s2*s1)^3)^2*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, (s1*s2)^2*s1*s0*(s2*s1)^3*s0*s2*s1*s2> of order 4

64 facets

48 of {4}*8
16 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<(s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s2)^2*s1*s0*(s2*s1)^4*s2> of order 4

64 facets

48 of {4}*8
16 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

64 facets

48 of {4}*8
16 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*s1)^2, s0*s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 4

64 facets

16 of {2}*4
48 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*s2*s1*s0*(s2*s1)^4*s0*s2*s1*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*s2*s1*s0*(s2*s1)^5*s2, (s0*s1)^2*(s2*s1)^3*s0*(s1*s2)^3> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s0*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2, (s1*s2)^3*(s1*s0*s2)^3*s1*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*s2*s1)^2*s0*(s1*s2)^2, s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, (s1*s2)^2*s1*(s0*(s2*s1)^2)^2*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*(s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, (s0*s1)^2*(s2*s1)^3*s0*(s1*s2)^3> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1, s1*s0*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*s1)^2*(s2*s1)^2*s0*(s1*s2)^2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, (s1*s2)^2*s1*s0*(s2*s1)^3*s0*s2*s1*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s0*s1*s2*s1*s0*(s2*s1)^5*s2> of order 4

64 facets

48 of {4}*8
16 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s2)^2*s1*s0*(s2*s1)^4*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s0*s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 4

64 facets

48 of {4}*8
16 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s2*s1)^4*s0*s2*s1*s2, s1*s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s1*s0*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*s0*(s2*s1)^4*s0*(s2*s1)^2*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2, s0*s1*s0*s2*s1*s0*(s2*s1)^5*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s1*s2)^3*s1*s0*(s2*s1)^2*s0*s2*s1*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s1*s2)^2*s1*s0*(s2*s1)^4*s2, s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^5*s0*s2*s1*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1*s0*s1*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s1*s0*(s2*s1)^4*s0*(s2*s1)^2*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s1*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 4

64 facets

48 of {4}*8
16 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<(s1*s2)^2*s1*(s0*(s2*s1)^2)^2*s2, s1*s0*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s1*s0*(s1*s2)^2)^2, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s1*(s0*(s2*s1)^3)^2*s2> of order 4

64 facets

48 of {4}*8
16 of {2}*4

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2, (s1*s2)^2*s1*s0*(s2*s1)^3*s0*s2*s1*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1, s1*s0*(s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2, (s1*s2)^3*s1*s0*(s2*s1)^2*s0*s2*s1*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s1*s2)^2*s1*s0*(s2*s1)^4*s2, s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s1*s2)^2*s1*s0*(s2*s1)^4*s2, (s1*s2)^3*s1*s0*(s2*s1)^2*s0*s2*s1*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^4*s0*(s2*s1)^2*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2, s1*s0*(s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*(s1*s2)^2*s1)^2, s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*s2*s1)^2*s0*(s2*s1)^2*s0*s2*s1*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2*s1*s0*s2*s1> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2, (s1*s2)^2*s1*s0*(s2*s1)^3*s0*s2*s1*s2> of order 4

56 facets

56 of {4}*8

16 vertex figures

16 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s0*s1*(s0*(s2*s1)^3)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, s0*(s1*s2)^2*s1*s0*s2*s1*s0*(s2*s1)^3*s2, s0*(s1*s2)^3*s1*s0*s2*s1*s0*(s2*s1)^2*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, (s0*(s1*s2)^2*s1)^2, s0*(s2*s1)^3*s0*(s1*s2)^3> of order 8

36 facets

20 of {4}*8
16 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2, (s1*s0*s2)^2*s1*s0*(s2*s1)^4*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, (s1*s2)^2*s1*s0*(s1*s2)^3*s1*s0*s1*s2, s0*(s1*s2)^2*s1*s0*s2*s1*s0*(s2*s1)^3*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, s0*(s2*s1)^2*s0*(s1*s2)^2, s0*(s2*s1)^3*s0*(s1*s2)^3> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s2*s1)^3*s0*(s1*s2)^3, (s1*s2)^2*s1*s0*(s1*s2)^3*s1*s0*s1*s2, s0*(s1*s2)^2*s1*(s0*(s2*s1)^2)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 8

36 facets

20 of {4}*8
16 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2, (s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1, s0*s1*(s2*s1*s0)^2*(s2*s1)^4*s2> of order 8

36 facets

16 of {2}*4
20 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, (s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, (s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1> of order 8

40 facets

16 of {4}*8
24 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, s0*s1*s0*s2*s1*s0*s1*s2*s1, s0*(s2*s1)^3*s0*(s1*s2)^3> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, (s2*s1*s0)^2*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2> of order 8

36 facets

20 of {4}*8
16 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s2*s1*s0)^2*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2, s0*(s1*s2)^3*s1*s0*s2*s1*s0*(s2*s1)^2*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s0*(s2*s1)^3*s0*(s1*s2)^3, s0*s1*s0*s2*s1*s0*(s2*s1)^5*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, s0*(s2*s1)^2*s0*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2> of order 8

36 facets

20 of {4}*8
16 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, s0*(s2*s1)^2*s0*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s2*s1*s0)^2*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2, s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 8

36 facets

20 of {4}*8
16 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, s0*(s2*s1)^2*s0*(s1*s2)^2, s0*(s2*s1)^3*s0*(s1*s2)^3> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, s0*(s2*s1)^2*s0*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, (s1*s0*(s1*s2)^2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2, (s1*s2)^3*s1*s0*(s2*s1)^2*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, s0*(s2*s1)^2*s0*(s1*s2)^2, (s1*s2)^2*s1*s0*(s1*s2)^3*s1*s0*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, s0*(s2*s1)^2*s0*(s1*s2)^2, (s1*s2)^2*s1*s0*(s2*s1)^3*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, (s1*s0*(s1*s2)^2)^2, (s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, (s2*s1*s0)^2*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*(s2*s1)^3*s0*(s1*s2)^3, s0*s1*s0*s2*s1*s0*(s2*s1)^5*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, (s0*s1)^2*(s2*s1)^2*s0*(s1*s2)^2, s0*(s2*s1)^3*s0*(s1*s2)^3> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, (s1*s2)^2*s1*s0*(s1*s2)^3*s1*s0*s1*s2, s0*s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s2*s1*s0)^2*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2, s0*s1*s0*(s2*s1)^4*s0*(s2*s1)^2*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, s0*(s2*s1)^3*s0*(s1*s2)^3, s1*s0*(s2*s1)^4*s0*(s2*s1)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2, (s2*s1*s0)^2*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2> of order 8

36 facets

16 of {2}*4
20 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, (s2*s1*s0)^2*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2> of order 8

36 facets

20 of {4}*8
16 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s2*s1*s0)^2*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2, s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s2*s1*s0)^2*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2, s0*s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s2*s1*s0)^2*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2, s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, s0*(s2*s1)^3*s0*(s1*s2)^3, (s1*s2)^2*s1*(s0*(s2*s1)^2)^2*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s0*(s2*s1)^3*s0*(s1*s2)^3, (s1*s2)^2*s1*s0*(s2*s1)^3*s0*s2*s1*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*(s1*s2)^2)^2, s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s2*s1)^3*s0*(s1*s2)^3, s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2, s0*s1*s0*s2*s1*s0*(s2*s1)^5*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, (s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2, s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2, s1*s0*(s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s2*s1*s0*(s2*s1)^5*s2, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2, (s1*s2)^2*s1*s0*(s1*s2)^3*s1*s0*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*(s1*s2)^2)^2, s0*s1*s2*s1*s0*(s2*s1)^5*s2, s0*s1*(s0*(s2*s1)^3)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, s0*(s2*s1)^3*s0*(s1*s2)^3, s1*s0*(s2*s1)^5*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, (s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, (s0*s1*s2*s1)^2, (s1*s2)^2*s1*(s0*(s2*s1)^2)^2*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2, s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 8

32 facets

8 of {2}*4
24 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, (s1*s0*(s1*s2)^2)^2, s0*(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*(s1*s2)^2)^2, s1*s2*s1*s0*(s2*s1)^4*s0*s2*s1*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2, s0*s2*s1*s0*s1*s2, s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 8

36 facets

16 of {2}*4
20 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, (s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, s0*s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2, s0*s1*s0*(s2*s1)^4*s0*(s2*s1)^2*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, (s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1, (s1*s0*s2)^2*s1*s0*(s2*s1)^4*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, (s1*s0*s1*s2)^2, s0*s1*(s0*(s2*s1)^3)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2, s0*s2*s1*s0*s1*s2, (s1*s2)^2*s1*(s0*(s2*s1)^2)^2*s2> of order 8

36 facets

16 of {2}*4
20 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2, s0*s2*s1*s0*s1*s2, (s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1> of order 8

40 facets

24 of {2}*4
16 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s1*(s2*s1*s0)^2*(s1*s2)^2*s1> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, (s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s0*s1*(s0*(s2*s1)^3)^2*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, (s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, (s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3, s0*(s1*s2)^2*s1*s0*(s2*s1)^4*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s2*s1)^5*s2, (s0*s1)^2*(s2*s1)^3*s0*(s1*s2)^3> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2, s1*s0*(s2*s1)^5*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, s0*s1*s2*s1*s0*(s2*s1)^5*s2, s0*s1*(s0*(s2*s1)^3)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s2*s1*s0)^2*(s1*s2)^2, s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3, s0*(s1*s2)^2*s1*s0*(s2*s1)^4*s2> of order 8

36 facets

20 of {4}*8
16 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, (s1*s2)^2*s1*s0*(s1*s2)^3*s1*s0*s1*s2, s0*s1*(s2*s1*s0)^2*(s2*s1)^4*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, (s1*s2)^3*s1*s0*(s2*s1)^2*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, s0*s1*s2*s1*s0*(s2*s1)^5*s2, s0*s1*(s0*(s2*s1)^3)^2*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, (s1*s2)^2*s1*(s0*(s2*s1)^2)^2*s2, s1*s0*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, s0*s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s1*s0*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, s1*s0*(s2*s1)^4*s0*(s2*s1)^2*s2, (s0*s1)^2*(s2*s1)^3*s0*(s1*s2)^3> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2, s1*s0*(s2*s1)^4*s0*(s2*s1)^2*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s2*s1*s0)^2*(s1*s2)^2, s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s2*s1)^5*s2> of order 8

36 facets

20 of {4}*8
16 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s1*s0*(s2*s1)^5*s0*s2*s1*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s1*s0*(s2*s1)^5*s0*s2*s1*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s2*s1)^5*s2, (s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2, (s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1, s1*s0*(s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2, s1*s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2, s0*s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*s1*s0*(s2*s1)^5*s0*s2*s1*s2, s0*s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, s0*(s2*s1)^3*s0*(s1*s2)^3, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s0*s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2, (s1*s2)^3*s1*s0*(s2*s1)^2*s0*s2*s1*s2, s1*s0*(s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3, s0*s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s1*s0*(s2*s1)^4*s0*(s2*s1)^2*s2, (s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s0*s1*(s2*s1*s0)^2*(s2*s1)^4*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*s1*s0*(s2*s1)^4*s0*(s2*s1)^2*s2, s0*s1*s2*s1*s0*(s2*s1)^4*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*(s2*s1)^3*s0*(s1*s2)^3, (s1*s2)^2*s1*s0*(s2*s1)^3*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*(s1*s2)^2)^2, s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s1*s0*(s2*s1)^5*s0*s2*s1*s2, s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s0*s1*s0*s2*s1*s0*s1*s2*s1, s0*(s2*s1)^3*s0*(s1*s2)^3> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s2*s1*s0)^2*(s1*s2)^2, s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*(s1*s2)^2*s1*s0*(s2*s1)^4*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s0*s1*s2*s1*s0*(s2*s1)^5*s2, (s1*s2)^2*s1*s0*(s1*s2)^3*s1*s0*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^5*s0*s2*s1*s2, s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2, s1*s0*(s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, (s2*s1*s0)^2*(s1*s2)^2, s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3> of order 8

40 facets

16 of {4}*8
24 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s2*s1)^2*s0*(s1*s2)^2, s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s2*s1*s0)^2*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2, s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2, s0*(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 8

32 facets

8 of {2}*4
24 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2, s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 8

36 facets

16 of {2}*4
20 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, s0*s1*(s2*s1*s0)^2*(s2*s1)^4*s2, s0*s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2, (s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 8

36 facets

16 of {2}*4
20 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2, (s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1, (s1*s0*s2)^2*s1*s0*(s2*s1)^4*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2, (s0*s1)^2*(s2*s1)^3*s0*(s1*s2)^3> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*(s2*s1)^2*s0*(s1*s2)^2, s0*s1*s2*s1*s0*(s2*s1)^4*s0*s2*s1*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2, s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2, s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 8

32 facets

8 of {2}*4
24 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s0*s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s1*s0*(s2*s1)^5*s0*s2*s1*s2, s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s0*s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, s0*(s2*s1)^3*s0*(s1*s2)^3, s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s1*s0*(s2*s1)^5*s0*s2*s1*s2, s1*s0*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s1*s2*s1*s0*(s2*s1)^4*s0*s2*s1*s2, (s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*(s2*s1)^5*s0*s2*s1*s2, s0*s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2, s1*s2*s1*s0*(s2*s1)^4*s0*s2*s1*s2, s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 8

32 facets

8 of {2}*4
24 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, s1*s0*(s2*s1)^5*s0*s2*s1*s2, (s0*s1)^2*(s2*s1)^3*s0*(s1*s2)^3> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s1*s2*s1*s0*(s2*s1)^4*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s1*s0*(s2*s1)^5*s0*s2*s1*s2, (s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*s1*s0*(s2*s1)^5*s0*s2*s1*s2, s0*s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, s0*(s2*s1)^3*s0*(s1*s2)^3, s1*s2*s1*s0*(s2*s1)^4*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2, (s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s0*s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 8

36 facets

16 of {2}*4
20 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2, s0*s1*(s2*s1*s0)^2*(s1*s2)^2*s1, (s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1> of order 8

36 facets

16 of {2}*4
20 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*(s2*s1)^5*s0*s2*s1*s2, s0*s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s0*s1*s0*(s2*s1)^5*s0*s2*s1*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s0*s1*s2*s1*s0*(s2*s1)^5*s2, s0*s1*(s0*(s2*s1)^3)^2*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s0*s1*s0*(s2*s1)^5*s0*s2*s1*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*(s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s0*s1*s2*s1*s0*(s2*s1)^5*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, (s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s2)^2*s1*s0*(s2*s1)^4*s2> of order 8

36 facets

20 of {4}*8
16 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s1*s0*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 8

36 facets

20 of {4}*8
16 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2, s1*s0*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, (s0*s1)^2*(s2*s1)^2*s0*(s1*s2)^2, (s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s1*s0*(s2*s1)^5*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2, s0*s1*s0*s2*s1*s0*(s2*s1)^5*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*(s1*s2)^2*s1)^2, s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s1*s2*s1*s0*(s2*s1)^4*s0*s2*s1*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, s0*(s2*s1)^2*s0*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2, (s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s2)^2*s1*s0*(s2*s1)^4*s2> of order 8

36 facets

16 of {2}*4
20 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s0*s1*s2*s1*s0*(s2*s1)^5*s2, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^5*s0*s2*s1*s2, (s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1, (s1*s0*s2)^2*s1*s0*(s2*s1)^4*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, (s1*s2)^3*s1*s0*(s2*s1)^2*s0*s2*s1*s2, (s0*s1)^2*(s2*s1)^3*s0*(s1*s2)^3> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2, s0*s1*s0*s2*s1*s0*(s2*s1)^5*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, (s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s1*(s0*(s2*s1)^3)^2*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, (s1*s0*s1*s2)^2, s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2, s0*s1*s0*s2*s1*s0*(s2*s1)^5*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2, s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 8

36 facets

16 of {2}*4
20 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s2*s1)^4*s0*s2*s1*s2, (s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1, s1*s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, s0*(s2*s1)^2*s0*(s1*s2)^2, s0*(s1*s2)^2*s1*s0*(s2*s1)^4*s2> of order 8

36 facets

20 of {4}*8
16 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, (s1*s0*(s1*s2)^2)^2, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2, (s1*s2)^3*s1*s0*(s2*s1)^2*s0*s2*s1*s2, s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 8

32 facets

8 of {2}*4
24 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2, s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3> of order 8

32 facets

8 of {2}*4
24 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, (s0*(s1*s2)^2*s1)^2, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s2*s1*s0*(s2*s1)^5*s2, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2, (s1*s2)^2*s1*s0*(s2*s1)^3*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2, s0*s1*s0*s2*s1*s0*(s2*s1)^5*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s1*s0*(s2*s1)^5*s0*s2*s1*s2, s1*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s2*s1*s0)^2*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2, s1*s0*(s2*s1)^4*s0*(s2*s1)^2*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2, (s1*s2)^2*s1*s0*(s1*s2)^3*s1*s0*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2, s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2, s0*s1*s0*s2*s1*s0*(s2*s1)^5*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s1*s0*(s2*s1)^4*s0*(s2*s1)^2*s2, s1*s0*s1*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s1*s2*s1*s0*(s2*s1)^4*s0*s2*s1*s2, s1*s0*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3, s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, (s0*s1*s2*s1)^2, (s0*s1)^2*(s2*s1)^3*s0*(s1*s2)^3> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, (s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s2)^2*s1*s0*(s2*s1)^4*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s2*s1)^3*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*(s1*s2)^2)^2, (s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, (s1*s2)^2*s1*s0*(s2*s1)^3*s0*s2*s1*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s0*s1*s0*s2*s1*s0*s1*s2*s1, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, (s0*s1)^2*(s2*s1)^2*s0*(s1*s2)^2, (s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*(s1*s2)^2)^2, s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s1*s2*s1*s0*(s2*s1)^4*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s0*(s2*s1)^3*s0*(s1*s2)^3, s1*s2*s1*s0*(s2*s1)^4*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s0*s1*s2*s1*s0*(s2*s1)^5*s2, (s1*s2)^3*s1*s0*(s2*s1)^2*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3, s0*s1*s2*s1*s0*(s2*s1)^5*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s0*s1*s2*s1*s0*(s2*s1)^5*s2, (s1*s2)^2*s1*s0*(s2*s1)^3*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*(s1*s2)^2*s1*s0*(s2*s1)^4*s2, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, (s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2, s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s1*s0*(s2*s1)^4*s0*(s2*s1)^2*s2, s1*s2*s1*s0*(s2*s1)^4*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2, (s1*s2)^2*s1*s0*(s2*s1)^3*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2, (s1*s2)^2*s1*s0*(s2*s1)^3*s0*s2*s1*s2> of order 8

32 facets

8 of {2}*4
24 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s2)^2*s1*s0*(s2*s1)^4*s2, s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2, (s1*s2)^2*s1*s0*(s2*s1)^3*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2, (s1*s2)^2*s1*s0*(s2*s1)^3*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2, s1*s0*(s2*s1)^4*s0*(s2*s1)^2*s2, s0*s1*s0*s2*s1*s0*(s2*s1)^5*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^5*s0*s2*s1*s2, s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2, s1*s0*(s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*s1*s2*s1*s0*(s2*s1)^5*s2, (s0*s1)^2*(s2*s1)^3*s0*(s1*s2)^3> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, s0*s1*s2*s1*s0*(s2*s1)^5*s2, (s1*s2)^2*s1*(s0*(s2*s1)^2)^2*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2, s1*s2*s1*s0*(s2*s1)^4*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2, (s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2, (s1*s2)^3*s1*s0*(s2*s1)^2*s0*s2*s1*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2, s1*s2*s1*s0*(s2*s1)^4*s0*s2*s1*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s2*s1)^2*s0*(s1*s2)^2, s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2, s1*s2*s1*s0*(s2*s1)^4*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2, (s1*s2)^2*s1*s0*(s2*s1)^3*s0*s2*s1*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s0*s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s1*s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3*s1> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s1*s0*s1*(s2*s1*s0)^2*(s1*s2)^2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s1*(s0*(s2*s1)^3)^2*s2, (s1*s2)^2*s1*s0*(s2*s1)^3*s0*s2*s1*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2, (s1*s2)^2*s1*s0*(s2*s1)^3*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, s0*(s1*s2)^2*s1*s0*(s2*s1)^4*s2, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2> of order 8

36 facets

20 of {4}*8
16 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s2*s1)^5*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s2*s1)^5*s2, s0*s1*(s0*(s2*s1)^3)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2, (s1*s2)^2*s1*s0*(s2*s1)^3*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^5*s0*s2*s1*s2, (s1*s2)^2*s1*(s0*(s2*s1)^2)^2*s2, s1*s0*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1)^2*(s2*s1)^2*s0*(s1*s2)^2, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2, s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, (s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, (s0*s2*s1)^2*s0*(s2*s1)^2*s0*s2*s1*s2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, s0*s1*s0*(s2*s1)^3*s0*(s1*s2)^2> of order 8

32 facets

24 of {4}*8
8 of {2}*4

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s1*s0*(s2*s1)^5*s0*s2*s1*s2, s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*s2*s1*s0*(s1*s2)^3, s0*s1*s2*s1*s0*(s2*s1)^5*s2, s1*s0*(s2*s1)^4*s0*(s2*s1)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*(s1*s2)^3*s1*s0*(s1*s2)^2, (s0*s2*s1)^2*s0*(s2*s1)^2*s0*s2*s1*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 8

28 facets

28 of {4}*8

8 vertex figures

8 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, s0*s1*s0*s2*s1*s0*s1*s2*s1, s0*(s2*s1)^2*s0*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2> of order 16

22 facets

6 of {4}*8
16 of {2}*4

4 vertex figures

4 of {14}*28

P/N, where N=<(s0*s1)^2, s0*s2*s1*s0*s1*s2, s0*(s2*s1)^2*s0*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2> of order 16

20 facets

12 of {2}*4
8 of {4}*8

4 vertex figures

4 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, (s0*s1*s2*s1)^2, s0*(s2*s1)^2*s0*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2> of order 16

20 facets

8 of {4}*8
12 of {2}*4

4 vertex figures

4 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, (s0*s1*s2*s1)^2, (s1*s0*(s1*s2)^2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 16

16 facets

12 of {4}*8
4 of {2}*4

4 vertex figures

4 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, (s1*s0*(s1*s2)^2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s2*s1)^5*s2> of order 16

16 facets

12 of {4}*8
4 of {2}*4

4 vertex figures

4 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, s0*(s2*s1)^2*s0*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s2*s1)^5*s2> of order 16

14 facets

14 of {4}*8

4 vertex figures

4 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, s0*(s2*s1)^2*s0*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2, s1*s0*(s2*s1)^5*s0*s2*s1*s2> of order 16

14 facets

14 of {4}*8

4 vertex figures

4 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, (s1*s0*s1*s2)^2, (s2*s1*s0)^2*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2> of order 16

18 facets

10 of {4}*8
8 of {2}*4

4 vertex figures

4 of {14}*28

P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s0*s1*s0*s2*s1*s0*s1*s2*s1, (s2*s1*s0)^2*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2> of order 16

18 facets

10 of {4}*8
8 of {2}*4

4 vertex figures

4 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, (s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s2*s1)^5*s2> of order 16

16 facets

12 of {4}*8
4 of {2}*4

4 vertex figures

4 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, (s2*s1*s0)^2*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2, s1*s0*(s2*s1)^4*s0*(s2*s1)^2*s2> of order 16

18 facets

10 of {4}*8
8 of {2}*4

4 vertex figures

4 of {14}*28

P/N, where N=<(s0*s1)^2, (s2*s1*s0)^2*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2, s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 16

18 facets

8 of {2}*4
10 of {4}*8

4 vertex figures

4 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, s0*(s2*s1)^2*s0*(s1*s2)^2, s0*(s2*s1)^3*s0*(s1*s2)^3, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2> of order 16

16 facets

12 of {4}*8
4 of {2}*4

4 vertex figures

4 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, (s1*s0*s1*s2)^2, s0*(s2*s1)^2*s0*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 16

14 facets

14 of {4}*8

4 vertex figures

4 of {14}*28

P/N, where N=<(s0*s1)^2, s0*s2*s1*s0*s1*s2, s0*s1*(s2*s1*s0)^2*(s1*s2)^2*s1, (s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1> of order 16

22 facets

16 of {2}*4
6 of {4}*8

4 vertex figures

4 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, (s1*s0*s1*s2)^2, s0*(s2*s1)^2*s0*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2> of order 16

14 facets

14 of {4}*8

4 vertex figures

4 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, (s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s2*s1)^5*s2, (s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1> of order 16

20 facets

8 of {4}*8
12 of {2}*4

4 vertex figures

4 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, (s0*s1*s2*s1)^2, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2, s1*s0*(s2*s1)^4*s0*(s2*s1)^2*s2> of order 16

16 facets

12 of {4}*8
4 of {2}*4

4 vertex figures

4 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, (s2*s1*s0)^2*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2, s1*s0*(s2*s1)^4*s0*(s2*s1)^2*s2> of order 16

18 facets

10 of {4}*8
8 of {2}*4

4 vertex figures

4 of {14}*28

P/N, where N=<(s0*s1)^2, s0*s2*s1*s0*s1*s2, s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s1*s2*s1*s0*(s1*s2)^3*s1*s0*(s1*s2)^2> of order 16

20 facets

12 of {2}*4
8 of {4}*8

4 vertex figures

4 of {14}*28

P/N, where N=<(s0*s1)^2, (s2*s1*s0)^2*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2, s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 16

18 facets

8 of {2}*4
10 of {4}*8

4 vertex figures

4 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, (s2*s1*s0)^2*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2, s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 16

18 facets

10 of {4}*8
8 of {2}*4

4 vertex figures

4 of {14}*28

P/N, where N=<(s0*s1)^2, s0*s2*s1*s0*s1*s2, s0*(s2*s1)^2*s0*(s1*s2)^2, s0*(s1*s2)^2*s1*s0*(s2*s1)^4*s2> of order 16

20 facets

12 of {2}*4
8 of {4}*8

4 vertex figures

4 of {14}*28

P/N, where N=<s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*s1*s2*s1*s0*(s2*s1)^5*s2> of order 16

14 facets

14 of {4}*8

4 vertex figures

4 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s2*s1)^5*s2, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2> of order 16

14 facets

14 of {4}*8

4 vertex figures

4 of {14}*28

P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, (s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s2*s1)^5*s2, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2> of order 16

16 facets

12 of {4}*8
4 of {2}*4

4 vertex figures

4 of {14}*28

P/N, where N=<(s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s2*s1)^5*s2> of order 16

14 facets

14 of {4}*8

4 vertex figures

4 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, (s1*s0*s1*s2)^2, s0*s2*s1*s0*(s2*s1)^2*s0*(s1*s2)^3, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2> of order 16

14 facets

14 of {4}*8

4 vertex figures

4 of {14}*28

P/N, where N=<(s0*s1*s2*s1)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2> of order 16

14 facets

14 of {4}*8

4 vertex figures

4 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s2*s1)^5*s2, s1*s0*(s2*s1)^4*s0*(s2*s1)^2*s2> of order 16

16 facets

12 of {4}*8
4 of {2}*4

4 vertex figures

4 of {14}*28

P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*s1*s2*s1*s0*(s2*s1)^5*s2> of order 16

14 facets

14 of {4}*8

4 vertex figures

4 of {14}*28

P/N, where N=<s0*s2*s1*s0*s1*s2, s0*(s2*s1)^2*s0*(s1*s2)^2, s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s2*s1)^5*s2> of order 16

20 facets

8 of {4}*8
12 of {2}*4

4 vertex figures

4 of {14}*28

P/N, where N=<(s1*s0*s1*s2)^2, s0*s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2, s1*s0*(s2*s1)^2*s0*(s2*s1)^4*s2> of order 16

16 facets

12 of {4}*8
4 of {2}*4

4 vertex figures

4 of {14}*28

P/N, where N=<(s0*s1)^2, s0*s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s0*(s1*s2)^4*s1*s0*(s2*s1)^2*s2, (s1*s2)^2*s1*s0*s2*s1*s0*(s1*s2)^3*s1> of order 16

18 facets

8 of {2}*4
10 of {4}*8

4 vertex figures

4 of {14}*28

P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, (s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s2)^2*s1*s0*(s2*s1)^4*s2, s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^2*s2> of order 16

18 facets

10 of {4}*8
8 of {2}*4

4 vertex figures

4 of {14}*28

P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s0*(s1*s2)^3*s1*s0*(s2*s1)^3*s2, s1*s2*s1*s0*(s2*s1)^4*s0*s2*s1*s2> of order 16

18 facets

10 of {4}*8
8 of {2}*4

4 vertex figures

4 of {14}*28

Representations

Permutation Representation (GAP)

s0 := (  1, 19)(  2, 20)(  3, 17)(  4, 18)(  5, 23)(  6, 24)(  7, 21)(  8, 22)(  9, 27)( 10, 28)( 11, 25)( 12, 26)( 13, 31)( 14, 32)( 15, 29)( 16, 30)( 33, 51)( 34, 52)( 35, 49)( 36, 50)( 37, 55)( 38, 56)( 39, 53)( 40, 54)( 41, 59)( 42, 60)( 43, 57)( 44, 58)( 45, 63)( 46, 64)( 47, 61)( 48, 62)( 65, 83)( 66, 84)( 67, 81)( 68, 82)( 69, 87)( 70, 88)( 71, 85)( 72, 86)( 73, 91)( 74, 92)( 75, 89)( 76, 90)( 77, 95)( 78, 96)( 79, 93)( 80, 94)( 97,115)( 98,116)( 99,113)(100,114)(101,119)(102,120)(103,117)(104,118)(105,123)(106,124)(107,121)(108,122)(109,127)(110,128)(111,125)(112,126);;
s1 := (  3, 33)(  4, 34)(  5,113)(  6,114)(  7, 81)(  8, 82)(  9, 65)( 10, 66)( 11, 97)( 12, 98)( 13, 49)( 14, 50)( 15, 17)( 16, 18)( 19, 47)( 20, 48)( 21,127)( 22,128)( 23, 95)( 24, 96)( 25, 79)( 26, 80)( 27,111)( 28,112)( 29, 63)( 30, 64)( 37,115)( 38,116)( 39, 83)( 40, 84)( 41, 67)( 42, 68)( 43, 99)( 44,100)( 45, 51)( 46, 52)( 53,125)( 54,126)( 55, 93)( 56, 94)( 57, 77)( 58, 78)( 59,109)( 60,110)( 69,121)( 70,122)( 71, 89)( 72, 90)( 75,105)( 76,106)( 85,119)( 86,120)( 91,103)( 92,104)(101,123)(102,124);;
s2 := (  1,  2)(  3, 18)(  4, 17)(  5, 98)(  6, 97)(  7,114)(  8,113)(  9, 34)( 10, 33)( 11, 50)( 12, 49)( 13, 66)( 14, 65)( 15, 82)( 16, 81)( 19, 20)( 21,100)( 22, 99)( 23,116)( 24,115)( 25, 36)( 26, 35)( 27, 52)( 28, 51)( 29, 68)( 30, 67)( 31, 84)( 32, 83)( 37,106)( 38,105)( 39,122)( 40,121)( 41, 42)( 43, 58)( 44, 57)( 45, 74)( 46, 73)( 47, 90)( 48, 89)( 53,108)( 54,107)( 55,124)( 56,123)( 59, 60)( 61, 76)( 62, 75)( 63, 92)( 64, 91)( 69,110)( 70,109)( 71,126)( 72,125)( 77, 78)( 79, 94)( 80, 93)( 85,112)( 86,111)( 87,128)( 88,127)( 95, 96)(101,102)(103,118)(104,117)(119,120);;
poly := Group([s0,s1,s2]);;

Finitely Presented Group Representation (GAP)

F := FreeGroup("s0","s1","s2");;
s0 := F.1;;  s1 := F.2;;  s2 := F.3;;  
rels := [ s0*s0, s1*s1, s2*s2, s0*s2*s0*s2, s0*s1*s0*s1*s0*s1*s0*s1, 
s0*s1*s2*s1*s0*s1*s2*s1*s0*s1*s2*s1*s0*s1*s2*s1, 
s0*s1*s2*s1*s2*s1*s0*s1*s2*s1*s2*s1*s0*s1*s2*s1*s2*s1*s0*s1*s2*s1*s2*s1, 
s0*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s0*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1, 
s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2, 
s1*s0*s1*s2*s0*s1*s2*s0*s1*s2*s0*s1*s2*s0*s1*s2*s1*s0*s1*s2*s0*s1*s2*s1*s2*s1*s2*s1*s2 ];;
poly := F / rels;;

Permutation Representation (Magma)

s0 := Sym(128)!(  1, 19)(  2, 20)(  3, 17)(  4, 18)(  5, 23)(  6, 24)(  7, 21)(  8, 22)(  9, 27)( 10, 28)( 11, 25)( 12, 26)( 13, 31)( 14, 32)( 15, 29)( 16, 30)( 33, 51)( 34, 52)( 35, 49)( 36, 50)( 37, 55)( 38, 56)( 39, 53)( 40, 54)( 41, 59)( 42, 60)( 43, 57)( 44, 58)( 45, 63)( 46, 64)( 47, 61)( 48, 62)( 65, 83)( 66, 84)( 67, 81)( 68, 82)( 69, 87)( 70, 88)( 71, 85)( 72, 86)( 73, 91)( 74, 92)( 75, 89)( 76, 90)( 77, 95)( 78, 96)( 79, 93)( 80, 94)( 97,115)( 98,116)( 99,113)(100,114)(101,119)(102,120)(103,117)(104,118)(105,123)(106,124)(107,121)(108,122)(109,127)(110,128)(111,125)(112,126);
s1 := Sym(128)!(  3, 33)(  4, 34)(  5,113)(  6,114)(  7, 81)(  8, 82)(  9, 65)( 10, 66)( 11, 97)( 12, 98)( 13, 49)( 14, 50)( 15, 17)( 16, 18)( 19, 47)( 20, 48)( 21,127)( 22,128)( 23, 95)( 24, 96)( 25, 79)( 26, 80)( 27,111)( 28,112)( 29, 63)( 30, 64)( 37,115)( 38,116)( 39, 83)( 40, 84)( 41, 67)( 42, 68)( 43, 99)( 44,100)( 45, 51)( 46, 52)( 53,125)( 54,126)( 55, 93)( 56, 94)( 57, 77)( 58, 78)( 59,109)( 60,110)( 69,121)( 70,122)( 71, 89)( 72, 90)( 75,105)( 76,106)( 85,119)( 86,120)( 91,103)( 92,104)(101,123)(102,124);
s2 := Sym(128)!(  1,  2)(  3, 18)(  4, 17)(  5, 98)(  6, 97)(  7,114)(  8,113)(  9, 34)( 10, 33)( 11, 50)( 12, 49)( 13, 66)( 14, 65)( 15, 82)( 16, 81)( 19, 20)( 21,100)( 22, 99)( 23,116)( 24,115)( 25, 36)( 26, 35)( 27, 52)( 28, 51)( 29, 68)( 30, 67)( 31, 84)( 32, 83)( 37,106)( 38,105)( 39,122)( 40,121)( 41, 42)( 43, 58)( 44, 57)( 45, 74)( 46, 73)( 47, 90)( 48, 89)( 53,108)( 54,107)( 55,124)( 56,123)( 59, 60)( 61, 76)( 62, 75)( 63, 92)( 64, 91)( 69,110)( 70,109)( 71,126)( 72,125)( 77, 78)( 79, 94)( 80, 93)( 85,112)( 86,111)( 87,128)( 88,127)( 95, 96)(101,102)(103,118)(104,117)(119,120);
poly := sub<Sym(128)|s0,s1,s2>;

Finitely Presented Group Representation (Magma)

poly<s0,s1,s2> := Group< s0,s1,s2 | s0*s0, s1*s1, s2*s2, 
s0*s2*s0*s2, s0*s1*s0*s1*s0*s1*s0*s1, 
s0*s1*s2*s1*s0*s1*s2*s1*s0*s1*s2*s1*s0*s1*s2*s1, 
s0*s1*s2*s1*s2*s1*s0*s1*s2*s1*s2*s1*s0*s1*s2*s1*s2*s1*s0*s1*s2*s1*s2*s1, 
s0*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s0*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1, 
s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2, 
s1*s0*s1*s2*s0*s1*s2*s0*s1*s2*s0*s1*s2*s0*s1*s2*s1*s0*s1*s2*s0*s1*s2*s1*s2*s1*s2*s1*s2 >;

References

None.

to this polytope.

Overview

Special Properties

Related Polytopes

Quotients maximal quotients in bold

Covers minimal covers in bold

Irregular Quotients of which this is a minimal cover

Representations

References

Twisty Puzzle