Overview
- Group
- SmallGroup(768,1087581)
- Rank
- 3
- Schläfli Type
- {4,6}
- Vertices, edges, …
- 64, 192, 96
- Order of s0s1s2
- 12
- Order of s0s1s2s1
- 4
- Also known as
- if this polytope has a name.
Special Properties
- Compact Hyperbolic Quotient
- Locally Spherical
- Orientable
Quotients maximal quotients in bold
2-fold
4-fold
8-fold
16-fold
32-fold
48-fold
64-fold
96-fold
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=<s0*(s2*s1)^2*s0*(s1*s2)^2> of order 2
48 facets
- 48 of {4}*8
32 vertex figures
- 32 of {6}*12
P/N, where N=<s0*s1*s0*(s2*s1)^2*s0*s2*s1*s0*(s2*s1)^2*s2> of order 2
48 facets
- 48 of {4}*8
32 vertex figures
- 32 of {6}*12
P/N, where N=<s1*(s2*s1*s0)^4*s2*s1*s2> of order 2
48 facets
- 48 of {4}*8
32 vertex figures
- 32 of {6}*12
P/N, where N=<s0*(s1*s2)^2*s1*s0*(s2*s1)^2*s0*s2*s1*s2> of order 2
48 facets
- 48 of {4}*8
32 vertex figures
- 32 of {6}*12
P/N, where N=<(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1> of order 2
48 facets
- 48 of {4}*8
32 vertex figures
- 32 of {6}*12
P/N, where N=<s0*(s1*s0*s2)^3*s1*s0*(s2*s1)^2*s2> of order 2
48 facets
- 48 of {4}*8
32 vertex figures
- 32 of {6}*12
P/N, where N=<s0*s1*s2*s1*(s0*(s2*s1)^2)^2*s2> of order 2
48 facets
- 48 of {4}*8
32 vertex figures
- 32 of {6}*12
P/N, where N=<s0*(s1*s0*s2)^4*s1*s0*s1*s2> of order 2
48 facets
- 48 of {4}*8
32 vertex figures
- 32 of {6}*12
P/N, where N=<s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 2
48 facets
- 48 of {4}*8
32 vertex figures
- 32 of {6}*12
P/N, where N=<(s1*s0*s2)^2*s1*s0*(s2*s1)^2*s0*s2*s1*s2> of order 2
48 facets
- 48 of {4}*8
32 vertex figures
- 32 of {6}*12
P/N, where N=<s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s0*s1*s2*s1*(s0*(s2*s1)^2)^2*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s0*(s1*s0*s2)^2*s1*s0*(s2*s1)^2*s0*s1*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s0*s1)^2*s2*s1*s0*s2*s1*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s1*s0*(s2*s1)^2*s0*s2*s1*s0*(s2*s1)^2*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*s1*s2*s1*s0*(s2*s1)^2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*s1*(s2*s1*s0)^2*(s2*s1)^2*s0*s1*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s1*s0*s1*(s2*s1*s0)^2*(s1*s2)^2, (s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s1*(s2*s1*s0)^2*(s2*s1)^2*s0*s2*s1*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*s1*s2*s1*(s0*(s2*s1)^2)^2*s2, s0*(s1*s2)^2*s1*s0*(s2*s1)^2*s0*s2*s1*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s1*s0*s1*(s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s2)^2*s1*s0*(s2*s1)^2*s0*s2*s1*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, (s1*s2)^2*(s1*s0*s2)^3*s1*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*s1*s0*(s2*s1)^2*s0*s2*s1*s0*(s2*s1)^2*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*s1*s2*s1*(s0*(s2*s1)^2)^2*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, (s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s0*s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s0*(s1*s0*s2)^2*s1*s0*(s2*s1)^2*s0*s2*s1*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s1*s2)^3, (s0*s1)^2*(s2*s1)^2*s0*s2*s1*s0> of order 4
24 facets
- 24 of {4}*8
20 vertex figures
P/N, where N=<(s0*s1*s2*s1)^2, s0*s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s1*(s2*s1*s0)^2*(s2*s1)^2*s0*s2*s1*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s0*s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, (s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s0*s1*s2*s1)^2, s0*(s2*s1)^2*s0*(s1*s2)^2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, (s1*s2)^2*s1*s0*(s2*s1)^2*s0*s2*s1*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s0*s1*s2*s1)^2, s0*s1*s0*(s2*s1)^2*s0*s2*s1*s0*(s2*s1)^2*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*s2*s1*s0*(s2*s1)^2*(s0*s2*s1)^2*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*s1*s2*s1*(s0*(s2*s1)^2)^2*s2, (s1*s0*s2)^2*s1*s0*(s2*s1)^2*s0*s2*s1*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s0*s2*s1)^2*s0*(s1*s2)^2, s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s0*s1)^2, s0*s1*s2*s1*(s0*(s2*s1)^2)^2*s2> of order 4
28 facets
16 vertex figures
- 16 of {6}*12
P/N, where N=<s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*(s1*s0*s2)^3*s1*s0*(s2*s1)^2*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s0*s1*(s0*(s2*s1)^2)^2*s0*s2*s1*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*s2*s1*s0*s1*s2, s0*(s2*s1)^2*s0*(s1*s2)^2> of order 4
32 facets
16 vertex figures
- 16 of {6}*12
P/N, where N=<s1*s0*s2*s1*s0*s1*s2*s1, s0*(s2*s1)^2*s0*(s1*s2)^2> of order 4
28 facets
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s0*s1)^2, s0*(s2*s1)^2*s0*(s1*s2)^2> of order 4
28 facets
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*s1*s0*(s2*s1)^2*s0*s2*s1*s0*(s2*s1)^2*s2, s0*s1*s2*s1*s0*(s2*s1)^2*(s0*s2*s1)^2*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*s2*s1*s0*s1*s2, s0*s1*s0*(s2*s1)^2*s0*s2*s1*s0*(s2*s1)^2*s2> of order 4
28 facets
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s0*(s1*s2)^2*s1)^2, (s1*s0*(s1*s2)^2)^2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s0*s1)^2, (s1*s2)^2*s1*s0*s2*s1*s0*(s2*s1)^2*s2> of order 4
32 facets
16 vertex figures
- 16 of {6}*12
P/N, where N=<s1*s0*s2*s1*s0*s1*s2*s1, s1*s0*(s2*s1)^2*(s0*s2*s1)^3*s2> of order 4
28 facets
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*s1*s0*s2*s1*(s0*(s2*s1)^2)^2*s2, s0*s1*(s0*(s2*s1)^2)^2*s0*s2*s1*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s1*s0*(s1*s2)^2)^2, (s1*s0*s2)^2*s1*s0*(s2*s1)^2*s0*s2*s1*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, (s1*s2)^2*s1*s0*s2*s1*s0*(s2*s1)^2*s2> of order 4
28 facets
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s2*s1*s0)^2*(s1*s2)^2, s1*(s2*s1*s0)^2*(s1*s2)^2*s1> of order 4
32 facets
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s1*s0*(s2*s1)^2*(s0*s2*s1)^3*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s0*s2)^3*s1*s0*(s2*s1)^2*s2> of order 4
28 facets
16 vertex figures
- 16 of {6}*12
P/N, where N=<s1*s0*s2*s1*s0*s1*s2*s1, s0*(s1*s2)^2*s1*s0*s2*s1*s0*(s2*s1)^2*s2> of order 4
28 facets
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s1*s0*(s1*s2)^2)^2, s0*s1*(s2*s1*s0)^2*(s1*s2)^2*s1> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*s2*s1*s0*s1*s2, (s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1> of order 4
28 facets
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s1*s2*s1*s0*(s2*s1)^2*(s0*s2*s1)^2*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*(s1*s2)^2*s1*s0*s2*s1*s0*(s2*s1)^2*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, (s0*(s1*s2)^2*s1)^2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, (s1*s2)^2*s1*s0*s2*s1*s0*(s2*s1)^2*s2> of order 4
28 facets
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s0*s1)^2*(s2*s1)^2*s0*(s1*s2)^2, s0*(s1*s2)^2*s1*s0*(s2*s1)^2*s0*s2*s1*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s2)^2*s1*s0*s2*s1*s0*(s2*s1)^2*s2> of order 4
28 facets
16 vertex figures
- 16 of {6}*12
P/N, where N=<s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 4
28 facets
16 vertex figures
- 16 of {6}*12
P/N, where N=<s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*s1*(s2*s1*s0)^2*(s1*s2)^2*s1> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*s1*s0*(s2*s1)^2*s0*s2*s1*s0*(s2*s1)^2*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s1*s2)^3, s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 4
24 facets
- 24 of {4}*8
20 vertex figures
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> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, (s1*s0*s2)^2*s1*s0*(s2*s1)^2*s0*s1*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s2*s1)^2*(s0*s2*s1)^2*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<s1*s2*s1*s0*(s1*s2)^2*s1*s0*s2*s1*s2, s0*s1*s0*(s2*s1)^2*s0*s2*s1*s0*(s2*s1)^2*s2> of order 4
24 facets
- 24 of {4}*8
16 vertex figures
- 16 of {6}*12
P/N, where N=<(s1*s2)^2, (s0*s1)^2*(s2*s1*s0)^4*s2> of order 6
16 facets
- 16 of {4}*8
12 vertex figures
P/N, where N=<(s0*s1)^2, (s1*s2)^2*s1*s0*s2*s1*s0*(s2*s1)^2*s2, (s0*s2*s1)^2*s0*(s2*s1)^2*s0*s2*s1*s2> of order 8
16 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s0*s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s1*s2)^2*s1*s0*s2*s1*s2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s1*s2*s1*s0*(s1*s2)^2*s1*s0*s2*s1*s2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s1*s2)^3, s0*(s1*s2)^2*s1*s0*s2, s1*s0*(s1*s2)^2*s1*s0*s2*s1> of order 8
12 facets
- 12 of {4}*8
12 vertex figures
P/N, where N=<(s0*s1)^2, (s1*s2)^3> of order 8
16 facets
10 vertex figures
P/N, where N=<(s0*s1)^2*s2*s1*s0*s2*s1*s2, s0*s1*(s2*s1*s0)^2*s2*s1> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s1*s2)^3, (s0*s1)^2*(s2*s1)^2*s0*s2*s1*s0, s0*s1*(s2*s1*s0)^2*(s2*s1)^2*s0*s1*s2> of order 8
12 facets
- 12 of {4}*8
10 vertex figures
P/N, where N=<s0*(s1*s2)^2*s1*s0*(s1*s2)^2, s1*s2*s1*s0*(s1*s2)^2*s1*s0*s2*s1*s2> of order 8
12 facets
- 12 of {4}*8
10 vertex figures
P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s0*s1*s0*s2*s1*s0*(s2*s1)^2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1)^2*s2*s1*s0*s2*s1*s2, s0*s1*(s2*s1*s0)^2*(s1*s2)^2*s1> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*s2*s1*s0*s1*s2, (s1*s0*(s1*s2)^2)^2, (s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1> of order 8
14 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, (s0*(s1*s2)^2*s1)^2, s1*s0*s1*(s2*s1*s0)^2*(s1*s2)^2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s1*s0*s1*(s2*s1*s0)^2*(s1*s2)^2, (s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1)^2, (s2*s1*s0)^2*(s1*s2)^2, s0*s1*(s2*s1*s0)^2*(s1*s2)^2*s1> of order 8
16 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*s2*s1*s0*s1*s2, (s1*s0*(s1*s2)^2)^2, s0*s1*(s2*s1*s0)^2*(s1*s2)^2*s1> of order 8
14 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*(s1*s2)^2*s1)^2, s0*s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*s2*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
14 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1> of order 8
14 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*(s1*s2)^2*s1)^2, (s1*s0*(s1*s2)^2)^2, s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*s2*s1*s0*s1*s2, s1*s0*s2*s1*s0*s1*s2*s1, s0*s1*s0*(s2*s1)^2*s0*s2*s1*s0*(s2*s1)^2*s2> of order 8
16 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*s1*s2*s1*s0*(s2*s1)^2, (s1*s0*s2)^2*s1*s0*(s2*s1)^2*s0*s1*s2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*s2*s1*s0*s1*s2, s0*s1*s2*s1*s0*(s2*s1)^2> of order 8
16 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, (s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2> of order 8
14 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*(s1*s2)^2*s1)^2, (s1*s0*(s1*s2)^2)^2, s1*s2*s1*s0*(s1*s2)^2*s1*s0*s2*s1*s2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1)^2, (s1*s2)^2*s1*s0*s2*s1*s0*(s2*s1)^2*s2, s0*s1*s2*s1*s0*(s1*s2)^2*(s1*s0*s2)^2> of order 8
16 facets
8 vertex figures
- 8 of {6}*12
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*(s1*s2)^2*s1*s0*s1*s2> of order 8
16 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s2*s1)^2*s0*(s1*s2)^2, s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*s1*(s2*s1*s0)^2*(s1*s2)^2*s1> of order 8
14 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, (s1*s0*(s1*s2)^2)^2, s0*(s1*s2)^2*s1*s0*(s2*s1)^2*s0*s2*s1*s2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<s1*s0*s2*s1*s0*s1*s2*s1, (s0*s1)^2*(s2*s1)^2*s0*(s1*s2)^2, s0*(s1*s2)^2*s1*s0*(s2*s1)^2*s0*s2*s1*s2> of order 8
14 facets
8 vertex figures
- 8 of {6}*12
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)^2*s2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1)^2, s0*s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, (s1*s2)^2*s1*s0*s2*s1*s0*(s2*s1)^2*s2> of order 8
16 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*(s1*s2)^2*s1)^2, (s1*s0*(s1*s2)^2)^2, s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s1*(s2*s1*s0)^2*(s1*s2)^2*s1, s1*s2*s1*s0*(s2*s1)^2*(s0*s2*s1)^2*s2> of order 8
14 facets
8 vertex figures
- 8 of {6}*12
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*(s2*s1)^2*s2> of order 8
16 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, (s0*(s1*s2)^2*s1)^2, (s1*s0*(s1*s2)^2)^2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
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)^2)^2*s2> of order 8
14 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1*s2*s1)^2, (s2*s1*s0)^2*(s1*s2)^2, s0*s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 8
14 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1*s2*s1)^2, (s1*s0*(s1*s2)^2)^2, s0*s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2, s0*s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 8
14 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1)^2, s0*(s2*s1)^2*s0*(s1*s2)^2, s1*(s2*s1*s0)^2*(s2*s1)^2*s0*s2*s1*s2> of order 8
14 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s2*s1*s0)^2*(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> of order 8
16 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1)^2*(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> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1)^2, s0*s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*s1*(s2*s1*s0)^2*(s1*s2)^2*s1> of order 8
14 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<s1*s0*s2*s1*s0*s1*s2*s1, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, (s0*s1)^2*(s2*s1)^2*s0*(s1*s2)^2> of order 8
16 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<s1*s0*s2*s1*s0*s1*s2*s1, s1*s0*s1*(s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s2)^2*s1*s0*(s2*s1)^2*s0*s2*s1*s2> of order 8
14 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
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
14 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2, s0*s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, (s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s2*s1)^2*s0*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1)^2, s0*(s2*s1)^2*s0*(s1*s2)^2, s1*(s2*s1*s0)^2*(s1*s2)^2*s1> of order 8
16 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*s1*s0*s2*s1*s0*s1*s2*s1, (s1*s0*(s1*s2)^2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 8
14 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1)^2, (s0*s1*s2*s1)^2, (s1*s2)^2*s1*s0*s2*s1*s0*(s2*s1)^2*s2> of order 8
18 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1*s2*s1)^2, (s0*(s1*s2)^2*s1)^2, (s1*s0*(s1*s2)^2)^2> of order 8
14 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1*s2*s1)^2, (s2*s1*s0)^2*(s1*s2)^2, s0*s1*s0*(s2*s1)^2*s0*s2*s1*s0*(s2*s1)^2*s2> of order 8
14 facets
8 vertex figures
- 8 of {6}*12
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
18 facets
8 vertex figures
- 8 of {6}*12
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
14 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*s2*s1*s0*s1*s2, (s0*s1*s2*s1)^2, s0*(s2*s1)^2*s0*(s1*s2)^2> of order 8
16 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s2*s1*s0)^2*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s0*s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 8
14 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1)^2, s0*(s2*s1)^2*s0*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2> of order 8
16 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*s2*s1*s0*s1*s2, s0*(s2*s1)^2*s0*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 8
16 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1*s2*s1)^2, s0*(s2*s1)^2*s0*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1*s2*s1)^2, (s1*s0*s1*s2)^2, s0*s1*s0*(s2*s1)^2*s0*s2*s1*s0*(s2*s1)^2*s2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*s2*s1*s0*s1*s2, s0*(s2*s1)^2*s0*(s1*s2)^2, (s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1> of order 8
16 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1)^2*s2*s1*s0*s2*s1*s2, (s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<s1*s0*s1*(s2*s1*s0)^2*(s1*s2)^2, (s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^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
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
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*s0*(s1*s2)^2*s1*s0*s2*s1*s2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s0*s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
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*s2*s1*s2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<s0*s1*s2*s1*s0*(s2*s1)^2, s0*(s1*s0*s2)^3*s1> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
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*s0*(s1*s2)^2*s1*s0*s1*s2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s0*(s2*s1)^2*s0*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1*s2*s1)^2, s0*(s2*s1)^2*s0*(s1*s2)^2, s0*s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
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> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<s1*s0*s1*(s2*s1*s0)^2*(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> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1*s2*s1)^2, (s0*s1)^2*s2*s1*s0*s1*s2, (s1*s2)^2*(s1*s0*s2)^3*s1*s2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1*s2*s1)^2, s1*s0*s1*(s2*s1*s0)^2*(s1*s2)^2, s0*(s1*s2)^2*s1*s0*(s2*s1)^2*s0*s2*s1*s2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1*s2*s1)^2, s0*s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s1*s0*s1*(s2*s1*s0)^2*(s1*s2)^2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s1*s0*s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1, s0*s1*s2*s1*(s0*(s2*s1)^2)^2*s2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<s1*s0*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, (s1*s0*s2)^2*s1*s0*(s1*s2)^2*s1, (s0*s1)^2*(s2*s1*s0)^2*(s1*s2)^2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
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
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1)^2*s2*s1*s0*s2*s1*s2, s0*s2*s1*s0*(s2*s1)^2*s0*s1> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<s1*s0*s1*s2*s1*s0*s2*s1*s2, s0*s1*s2*s1*(s0*(s2*s1)^2)^2*s2> of order 8
12 facets
- 12 of {4}*8
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1*s2*s1)^2, (s0*s1)^2*(s2*s1)^2*s0*(s1*s2)^2, s0*s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 8
14 facets
8 vertex figures
- 8 of {6}*12
P/N, where N=<(s0*s1*s2*s1)^2, s1*s0*s1*s2*s1*s0*s2*s1*s2> of order 16
6 facets
- 6 of {4}*8
4 vertex figures
- 4 of {6}*12
P/N, where N=<(s0*s1*s2*s1)^2, (s0*s1)^2*s2*s1*s0*s2*s1*s2> of order 16
6 facets
- 6 of {4}*8
4 vertex figures
- 4 of {6}*12
P/N, where N=<s0*s1*s2*s1*s0*(s2*s1)^2, (s0*s1)^2*s2*s1*s0*s2*s1*s2> of order 16
6 facets
- 6 of {4}*8
4 vertex figures
- 4 of {6}*12
P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s0*s1*s2*s1*s0*(s2*s1)^2> of order 16
6 facets
- 6 of {4}*8
4 vertex figures
- 4 of {6}*12
P/N, where N=<(s0*s1*s2*s1)^2, (s0*s1)^2*s2*s1*s0*s1*s2, s0*(s2*s1)^2*s0*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 16
6 facets
- 6 of {4}*8
4 vertex figures
- 4 of {6}*12
P/N, where N=<(s0*s1)^2, (s1*s2)^3, s0*s1*s2*s1*s0*(s1*s2)^2*(s1*s0*s2)^2> of order 16
8 facets
5 vertex figures
P/N, where N=<s0*s2*s1*s0*s1*s2, s0*s1*s2*s1*s0*(s2*s1)^2, s0*(s1*s0*s2)^3*s1> of order 16
8 facets
4 vertex figures
- 4 of {6}*12
P/N, where N=<(s0*s1)^2*s2*s1*s0*s1*s2, s0*s1*s0*s2*s1*s0*(s2*s1)^2, s0*s1*(s2*s1*s0)^2*s2*s1> of order 16
6 facets
- 6 of {4}*8
4 vertex figures
- 4 of {6}*12
P/N, where N=<s1*s0*s2*s1*s0*s1*s2*s1, (s0*s1)^2*s2*s1*s0*s1*s2, s0*(s2*s1)^2*s0*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 16
8 facets
4 vertex figures
- 4 of {6}*12
P/N, where N=<(s0*s1)^2, s0*(s2*s1)^2*s0*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2, s0*s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2> of order 16
8 facets
4 vertex figures
- 4 of {6}*12
P/N, where N=<(s1*s0*s1*s2)^2, s1*s0*s2*s1*s0*s1*s2*s1, (s0*s2*s1)^2*s0*(s1*s2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 16
8 facets
4 vertex figures
- 4 of {6}*12
P/N, where N=<(s0*s1)^2, s0*(s2*s1)^2*s0*(s1*s2)^2, s0*s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*s1*(s2*s1*s0)^2*(s1*s2)^2*s1> of order 16
7 facets
4 vertex figures
- 4 of {6}*12
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
9 facets
4 vertex figures
- 4 of {6}*12
P/N, where N=<s0*s2*s1*s0*s1*s2, s0*s1*s0*s2*s1*s0*s1*s2*s1, (s0*(s1*s2)^2*s1)^2, (s1*s0*(s1*s2)^2)^2> of order 16
7 facets
4 vertex figures
- 4 of {6}*12
P/N, where N=<(s0*s1)^2, (s2*s1*s0)^2*(s1*s2)^2, s0*s1*s2*s1*s0*(s1*s2)^2*s1*s0*s1*s2, s0*s1*(s2*s1*s0)^2*(s1*s2)^2*s1> of order 16
9 facets
4 vertex figures
- 4 of {6}*12
P/N, where N=<s0*s2*s1*s0*s1*s2, s0*s1*s0*s2*s1*s0*s1*s2*s1, (s1*s0*(s1*s2)^2)^2, s1*s0*(s2*s1)^2*s0*(s1*s2)^2*s1> of order 16
8 facets
4 vertex figures
- 4 of {6}*12
P/N, where N=<(s0*s1)^2, (s1*s2)^3, s0*(s1*s2)^2*s1*s0*s2> of order 16
8 facets
6 vertex figures
P/N, where N=<(s0*s1)^2, (s0*s1*s2*s1)^2, s0*(s2*s1)^2*s0*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2> of order 16
10 facets
4 vertex figures
- 4 of {6}*12
P/N, where N=<(s0*s1)^2, s0*(s2*s1)^2*s0*(s1*s2)^2, (s0*(s1*s2)^2*s1)^2, s1*s2*s1*s0*(s1*s2)^2*s1*s0*s2*s1*s2> of order 16
8 facets
4 vertex figures
- 4 of {6}*12
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
8 facets
4 vertex figures
- 4 of {6}*12
P/N, where N=<s1*s0*s2*s1*s0*s1*s2*s1, (s0*s1)^2*s2*s1*s0*s2*s1*s2> of order 16
8 facets
4 vertex figures
- 4 of {6}*12
Representations
Permutation Representation (GAP)
s0 := ( 1, 13)( 2, 14)( 3, 15)( 4, 16)( 5, 9)( 6, 10)( 7, 11)( 8, 12)( 17, 29)( 18, 30)( 19, 31)( 20, 32)( 21, 25)( 22, 26)( 23, 27)( 24, 28)( 33, 45)( 34, 46)( 35, 47)( 36, 48)( 37, 41)( 38, 42)( 39, 43)( 40, 44)( 49, 61)( 50, 62)( 51, 63)( 52, 64)( 53, 57)( 54, 58)( 55, 59)( 56, 60)( 65, 77)( 66, 78)( 67, 79)( 68, 80)( 69, 73)( 70, 74)( 71, 75)( 72, 76)( 81, 93)( 82, 94)( 83, 95)( 84, 96)( 85, 89)( 86, 90)( 87, 91)( 88, 92)( 97,157)( 98,158)( 99,159)(100,160)(101,153)(102,154)(103,155)(104,156)(105,149)(106,150)(107,151)(108,152)(109,145)(110,146)(111,147)(112,148)(113,173)(114,174)(115,175)(116,176)(117,169)(118,170)(119,171)(120,172)(121,165)(122,166)(123,167)(124,168)(125,161)(126,162)(127,163)(128,164)(129,189)(130,190)(131,191)(132,192)(133,185)(134,186)(135,187)(136,188)(137,181)(138,182)(139,183)(140,184)(141,177)(142,178)(143,179)(144,180);; s1 := ( 1, 97)( 2, 98)( 3,100)( 4, 99)( 5,102)( 6,101)( 7,103)( 8,104)( 9,112)( 10,111)( 11,109)( 12,110)( 13,107)( 14,108)( 15,106)( 16,105)( 17,129)( 18,130)( 19,132)( 20,131)( 21,134)( 22,133)( 23,135)( 24,136)( 25,144)( 26,143)( 27,141)( 28,142)( 29,139)( 30,140)( 31,138)( 32,137)( 33,113)( 34,114)( 35,116)( 36,115)( 37,118)( 38,117)( 39,119)( 40,120)( 41,128)( 42,127)( 43,125)( 44,126)( 45,123)( 46,124)( 47,122)( 48,121)( 49,145)( 50,146)( 51,148)( 52,147)( 53,150)( 54,149)( 55,151)( 56,152)( 57,160)( 58,159)( 59,157)( 60,158)( 61,155)( 62,156)( 63,154)( 64,153)( 65,177)( 66,178)( 67,180)( 68,179)( 69,182)( 70,181)( 71,183)( 72,184)( 73,192)( 74,191)( 75,189)( 76,190)( 77,187)( 78,188)( 79,186)( 80,185)( 81,161)( 82,162)( 83,164)( 84,163)( 85,166)( 86,165)( 87,167)( 88,168)( 89,176)( 90,175)( 91,173)( 92,174)( 93,171)( 94,172)( 95,170)( 96,169);; s2 := ( 1, 33)( 2, 35)( 3, 34)( 4, 36)( 5, 41)( 6, 43)( 7, 42)( 8, 44)( 9, 37)( 10, 39)( 11, 38)( 12, 40)( 13, 45)( 14, 47)( 15, 46)( 16, 48)( 18, 19)( 21, 25)( 22, 27)( 23, 26)( 24, 28)( 30, 31)( 49, 81)( 50, 83)( 51, 82)( 52, 84)( 53, 89)( 54, 91)( 55, 90)( 56, 92)( 57, 85)( 58, 87)( 59, 86)( 60, 88)( 61, 93)( 62, 95)( 63, 94)( 64, 96)( 66, 67)( 69, 73)( 70, 75)( 71, 74)( 72, 76)( 78, 79)( 97,129)( 98,131)( 99,130)(100,132)(101,137)(102,139)(103,138)(104,140)(105,133)(106,135)(107,134)(108,136)(109,141)(110,143)(111,142)(112,144)(114,115)(117,121)(118,123)(119,122)(120,124)(126,127)(145,177)(146,179)(147,178)(148,180)(149,185)(150,187)(151,186)(152,188)(153,181)(154,183)(155,182)(156,184)(157,189)(158,191)(159,190)(160,192)(162,163)(165,169)(166,171)(167,170)(168,172)(174,175);; 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,
s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2,
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 ];;
poly := F / rels;;
Permutation Representation (Magma)
s0 := Sym(192)!( 1, 13)( 2, 14)( 3, 15)( 4, 16)( 5, 9)( 6, 10)( 7, 11)( 8, 12)( 17, 29)( 18, 30)( 19, 31)( 20, 32)( 21, 25)( 22, 26)( 23, 27)( 24, 28)( 33, 45)( 34, 46)( 35, 47)( 36, 48)( 37, 41)( 38, 42)( 39, 43)( 40, 44)( 49, 61)( 50, 62)( 51, 63)( 52, 64)( 53, 57)( 54, 58)( 55, 59)( 56, 60)( 65, 77)( 66, 78)( 67, 79)( 68, 80)( 69, 73)( 70, 74)( 71, 75)( 72, 76)( 81, 93)( 82, 94)( 83, 95)( 84, 96)( 85, 89)( 86, 90)( 87, 91)( 88, 92)( 97,157)( 98,158)( 99,159)(100,160)(101,153)(102,154)(103,155)(104,156)(105,149)(106,150)(107,151)(108,152)(109,145)(110,146)(111,147)(112,148)(113,173)(114,174)(115,175)(116,176)(117,169)(118,170)(119,171)(120,172)(121,165)(122,166)(123,167)(124,168)(125,161)(126,162)(127,163)(128,164)(129,189)(130,190)(131,191)(132,192)(133,185)(134,186)(135,187)(136,188)(137,181)(138,182)(139,183)(140,184)(141,177)(142,178)(143,179)(144,180); s1 := Sym(192)!( 1, 97)( 2, 98)( 3,100)( 4, 99)( 5,102)( 6,101)( 7,103)( 8,104)( 9,112)( 10,111)( 11,109)( 12,110)( 13,107)( 14,108)( 15,106)( 16,105)( 17,129)( 18,130)( 19,132)( 20,131)( 21,134)( 22,133)( 23,135)( 24,136)( 25,144)( 26,143)( 27,141)( 28,142)( 29,139)( 30,140)( 31,138)( 32,137)( 33,113)( 34,114)( 35,116)( 36,115)( 37,118)( 38,117)( 39,119)( 40,120)( 41,128)( 42,127)( 43,125)( 44,126)( 45,123)( 46,124)( 47,122)( 48,121)( 49,145)( 50,146)( 51,148)( 52,147)( 53,150)( 54,149)( 55,151)( 56,152)( 57,160)( 58,159)( 59,157)( 60,158)( 61,155)( 62,156)( 63,154)( 64,153)( 65,177)( 66,178)( 67,180)( 68,179)( 69,182)( 70,181)( 71,183)( 72,184)( 73,192)( 74,191)( 75,189)( 76,190)( 77,187)( 78,188)( 79,186)( 80,185)( 81,161)( 82,162)( 83,164)( 84,163)( 85,166)( 86,165)( 87,167)( 88,168)( 89,176)( 90,175)( 91,173)( 92,174)( 93,171)( 94,172)( 95,170)( 96,169); s2 := Sym(192)!( 1, 33)( 2, 35)( 3, 34)( 4, 36)( 5, 41)( 6, 43)( 7, 42)( 8, 44)( 9, 37)( 10, 39)( 11, 38)( 12, 40)( 13, 45)( 14, 47)( 15, 46)( 16, 48)( 18, 19)( 21, 25)( 22, 27)( 23, 26)( 24, 28)( 30, 31)( 49, 81)( 50, 83)( 51, 82)( 52, 84)( 53, 89)( 54, 91)( 55, 90)( 56, 92)( 57, 85)( 58, 87)( 59, 86)( 60, 88)( 61, 93)( 62, 95)( 63, 94)( 64, 96)( 66, 67)( 69, 73)( 70, 75)( 71, 74)( 72, 76)( 78, 79)( 97,129)( 98,131)( 99,130)(100,132)(101,137)(102,139)(103,138)(104,140)(105,133)(106,135)(107,134)(108,136)(109,141)(110,143)(111,142)(112,144)(114,115)(117,121)(118,123)(119,122)(120,124)(126,127)(145,177)(146,179)(147,178)(148,180)(149,185)(150,187)(151,186)(152,188)(153,181)(154,183)(155,182)(156,184)(157,189)(158,191)(159,190)(160,192)(162,163)(165,169)(166,171)(167,170)(168,172)(174,175); poly := sub<Sym(192)|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, s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2, 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 >;
References
None.
to this polytope.