Overview
- Group
- SmallGroup(1344,11291)
- Rank
- 3
- Schläfli Type
- {6,14}
- Vertices, edges, …
- 48, 336, 112
- Order of s0s1s2
- 28
- Order of s0s1s2s1
- 16
- 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 := ( 1, 3)( 2, 9)( 4, 5)( 6,31)( 7,21)( 8,19)(10,29)(11,26)(12,30)(13,14)(15,28)(16,20)(17,27)(18,24)(22,25)(23,32);; s1 := ( 2, 4)( 3,21)( 6,30)( 7,13)( 8,20)( 9,24)(10,28)(11,19)(12,26)(15,29)(16,32)(17,22)(23,31)(25,27);; s2 := ( 1,18)( 2,25)( 3,24)( 4,20)( 5,16)( 7,29)( 8,13)( 9,22)(10,21)(11,28)(14,19)(15,26)(17,32)(23,27);; 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*s0*s1,
s0*s1*s2*s0*s1*s2*s1*s2*s1*s2*s1*s2*s0*s1*s0*s1*s2*s1*s2*s1,
s0*s1*s0*s1*s2*s1*s0*s1*s2*s1*s0*s1*s0*s1*s2*s1*s0*s1*s2*s1,
s1*s0*s1*s2*s1*s0*s2*s1*s2*s0*s1*s2*s0*s1*s2*s0*s1*s2*s1*s0*s1*s2 ];;
poly := F / rels;;
Permutation Representation (Magma)
s0 := Sym(32)!( 1, 3)( 2, 9)( 4, 5)( 6,31)( 7,21)( 8,19)(10,29)(11,26)(12,30)(13,14)(15,28)(16,20)(17,27)(18,24)(22,25)(23,32); s1 := Sym(32)!( 2, 4)( 3,21)( 6,30)( 7,13)( 8,20)( 9,24)(10,28)(11,19)(12,26)(15,29)(16,32)(17,22)(23,31)(25,27); s2 := Sym(32)!( 1,18)( 2,25)( 3,24)( 4,20)( 5,16)( 7,29)( 8,13)( 9,22)(10,21)(11,28)(14,19)(15,26)(17,32)(23,27); 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, s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1, s0*s1*s2*s0*s1*s2*s1*s2*s1*s2*s1*s2*s0*s1*s0*s1*s2*s1*s2*s1, s0*s1*s0*s1*s2*s1*s0*s1*s2*s1*s0*s1*s0*s1*s2*s1*s0*s1*s2*s1, s1*s0*s1*s2*s1*s0*s2*s1*s2*s0*s1*s2*s0*s1*s2*s0*s1*s2*s1*s0*s1*s2 >;
References
None.
to this polytope.