Overview
- Group
- SmallGroup(1440,5900)
- Rank
- 5
- Schläfli Type
- {6,2,15,4}
- Vertices, edges, …
- 6, 6, 15, 30, 4
- Order of s0s1s2s3s4
- 30
- Order of s0s1s2s3s4s3s2s1
- 2
- Also known as
- if this polytope has a name.
Special Properties
- Degenerate
- Universal
- Non-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 := ( 8, 9)(11,13)(12,14)(15,16)(17,21)(18,20)(19,22)(23,25)(24,26);; s3 := ( 7, 8)( 9,11)(10,19)(12,15)(14,24)(16,20)(17,18)(21,23)(22,25);; s4 := ( 7,10)( 8,12)( 9,14)(11,17)(13,21)(15,16)(18,22)(19,20)(23,26)(24,25);; 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,
s3*s4*s3*s4*s3*s4*s3*s4, s4*s3*s2*s4*s3*s4*s3*s2*s3,
s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1,
s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3 ];;
poly := F / rels;;
Permutation Representation (Magma)
s0 := Sym(26)!(3,4)(5,6); s1 := Sym(26)!(1,5)(2,3)(4,6); s2 := Sym(26)!( 8, 9)(11,13)(12,14)(15,16)(17,21)(18,20)(19,22)(23,25)(24,26); s3 := Sym(26)!( 7, 8)( 9,11)(10,19)(12,15)(14,24)(16,20)(17,18)(21,23)(22,25); s4 := Sym(26)!( 7,10)( 8,12)( 9,14)(11,17)(13,21)(15,16)(18,22)(19,20)(23,26)(24,25); poly := sub<Sym(26)|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, s3*s4*s3*s4*s3*s4*s3*s4, s4*s3*s2*s4*s3*s4*s3*s2*s3, s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1, s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3 >;