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