Overview
- Group
- SmallGroup(1344,11291)
- Rank
- 3
- Schläfli Type
- {28,7}
- Vertices, edges, …
- 96, 336, 24
- Order of s0s1s2
- 6
- Order of s0s1s2s1
- 8
- 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
Covers minimal covers in bold
None in this atlas.
Irregular Quotients of which this is a minimal cover
None.
Representations
Permutation Representation (GAP)
s0 := ( 2, 7)( 3,19)( 4,31)( 5,22)( 6,30)( 8,27)( 9,28)(10,14)(12,13)(15,20)(16,24)(17,21)(23,25)(26,29);; s1 := ( 1, 3)( 2,32)( 4,22)( 5,26)( 6,12)( 7,11)( 8,21)( 9,20)(10,13)(14,23)(15,16)(17,25)(18,24)(19,27)(28,29)(30,31);; s2 := ( 1,11)( 2,30)( 3,15)( 4, 5)( 6, 7)( 8,16)( 9,26)(10,12)(13,14)(17,25)(18,32)(19,20)(21,23)(22,31)(24,27)(28,29);; 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*s1*s2*s1*s2*s1*s2,
s2*s0*s1*s2*s0*s1*s2*s0*s1*s2*s0*s1*s2*s0*s1*s2*s0*s1,
s0*s1*s0*s1*s2*s1*s0*s2*s1*s0*s1*s2*s1*s0*s1*s0*s2*s1*s2*s1,
s0*s1*s0*s1*s0*s1*s2*s1*s2*s1*s0*s1*s0*s1*s0*s1*s2*s1*s2*s1 ];;
poly := F / rels;;
Permutation Representation (Magma)
s0 := Sym(32)!( 2, 7)( 3,19)( 4,31)( 5,22)( 6,30)( 8,27)( 9,28)(10,14)(12,13)(15,20)(16,24)(17,21)(23,25)(26,29); s1 := Sym(32)!( 1, 3)( 2,32)( 4,22)( 5,26)( 6,12)( 7,11)( 8,21)( 9,20)(10,13)(14,23)(15,16)(17,25)(18,24)(19,27)(28,29)(30,31); s2 := Sym(32)!( 1,11)( 2,30)( 3,15)( 4, 5)( 6, 7)( 8,16)( 9,26)(10,12)(13,14)(17,25)(18,32)(19,20)(21,23)(22,31)(24,27)(28,29); poly := sub<Sym(32)|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*s1*s2*s1*s2*s1*s2, s2*s0*s1*s2*s0*s1*s2*s0*s1*s2*s0*s1*s2*s0*s1*s2*s0*s1, s0*s1*s0*s1*s2*s1*s0*s2*s1*s0*s1*s2*s1*s0*s1*s0*s2*s1*s2*s1, s0*s1*s0*s1*s0*s1*s2*s1*s2*s1*s0*s1*s0*s1*s0*s1*s2*s1*s2*s1 >;
References
None.
to this polytope.