Overview
- Group
- SmallGroup(1200,1006)
- Rank
- 5
- Schläfli Type
- {6,2,10,5}
- Vertices, edges, …
- 6, 6, 10, 25, 5
- Order of s0s1s2s3s4
- 30
- Order of s0s1s2s3s4s3s2s1
- 2
- Also known as
- if this polytope has a name.
Special Properties
- Degenerate
- Universal
- Orientable
- Flat
Quotients maximal quotients in bold
2-fold
3-fold
5-fold
10-fold
15-fold
Covers minimal covers in bold
None in this atlas.
Representations
Permutation Representation (GAP)
s0 := (3,4)(5,6);; s1 := (1,5)(2,3)(4,6);; s2 := (10,11)(13,14)(16,17)(18,19)(20,21)(22,23)(24,25)(26,27)(28,29)(30,31);; s3 := ( 7,10)( 8,16)( 9,13)(11,18)(12,24)(14,26)(15,20)(17,22)(21,30)(23,27)(25,28)(29,31);; s4 := ( 7, 8)( 9,12)(10,14)(11,13)(16,21)(17,20)(18,23)(19,22)(24,25)(26,29)(27,28)(30,31);; poly := Group([s0,s1,s2,s3,s4]);;
Finitely Presented Group Representation (GAP)
F := FreeGroup("s0","s1","s2","s3","s4");;
s0 := F.1;; s1 := F.2;; s2 := F.3;; s3 := F.4;; s4 := F.5;;
rels := [ s0*s0, s1*s1, s2*s2, s3*s3, s4*s4, s0*s2*s0*s2,
s1*s2*s1*s2, s0*s3*s0*s3, s1*s3*s1*s3,
s0*s4*s0*s4, s1*s4*s1*s4, s2*s4*s2*s4,
s2*s3*s4*s2*s3*s2*s3*s4*s2*s3, s3*s4*s3*s4*s3*s4*s3*s4*s3*s4,
s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1 ];;
poly := F / rels;;
Permutation Representation (Magma)
s0 := Sym(31)!(3,4)(5,6); s1 := Sym(31)!(1,5)(2,3)(4,6); s2 := Sym(31)!(10,11)(13,14)(16,17)(18,19)(20,21)(22,23)(24,25)(26,27)(28,29)(30,31); s3 := Sym(31)!( 7,10)( 8,16)( 9,13)(11,18)(12,24)(14,26)(15,20)(17,22)(21,30)(23,27)(25,28)(29,31); s4 := Sym(31)!( 7, 8)( 9,12)(10,14)(11,13)(16,21)(17,20)(18,23)(19,22)(24,25)(26,29)(27,28)(30,31); poly := sub<Sym(31)|s0,s1,s2,s3,s4>;
Finitely Presented Group Representation (Magma)
poly<s0,s1,s2,s3,s4> := Group< s0,s1,s2,s3,s4 | s0*s0, s1*s1, s2*s2, s3*s3, s4*s4, s0*s2*s0*s2, s1*s2*s1*s2, s0*s3*s0*s3, s1*s3*s1*s3, s0*s4*s0*s4, s1*s4*s1*s4, s2*s4*s2*s4, s2*s3*s4*s2*s3*s2*s3*s4*s2*s3, s3*s4*s3*s4*s3*s4*s3*s4*s3*s4, s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1 >;