Overview
- Group
- SmallGroup(1760,474)
- Rank
- 4
- Schläfli Type
- {11,2,40}
- Vertices, edges, …
- 11, 11, 40, 40
- Order of s0s1s2s3
- 440
- Order of s0s1s2s3s2s1
- 2
- Also known as
- if this polytope has a name.
Special Properties
- Degenerate
- Universal
- Orientable
- Flat
Quotients maximal quotients in bold
2-fold
4-fold
5-fold
8-fold
10-fold
20-fold
Covers minimal covers in bold
None in this atlas.
Representations
Permutation Representation (GAP)
s0 := ( 2, 3)( 4, 5)( 6, 7)( 8, 9)(10,11);; s1 := ( 1, 2)( 3, 4)( 5, 6)( 7, 8)( 9,10);; s2 := (13,14)(15,16)(17,20)(18,22)(19,21)(23,24)(25,30)(26,32)(27,31)(28,34)(29,33)(36,41)(37,40)(38,43)(39,42)(44,45)(46,49)(47,48)(50,51);; s3 := (12,18)(13,15)(14,26)(16,28)(17,21)(19,23)(20,36)(22,38)(24,29)(25,31)(27,33)(30,44)(32,46)(34,39)(35,40)(37,42)(41,50)(43,47)(45,48)(49,51);; poly := Group([s0,s1,s2,s3]);;
Finitely Presented Group Representation (GAP)
F := FreeGroup("s0","s1","s2","s3");;
s0 := F.1;; s1 := F.2;; s2 := F.3;; s3 := F.4;;
rels := [ s0*s0, s1*s1, s2*s2, s3*s3, s0*s2*s0*s2,
s1*s2*s1*s2, s0*s3*s0*s3, s1*s3*s1*s3,
s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*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*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*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(51)!( 2, 3)( 4, 5)( 6, 7)( 8, 9)(10,11); s1 := Sym(51)!( 1, 2)( 3, 4)( 5, 6)( 7, 8)( 9,10); s2 := Sym(51)!(13,14)(15,16)(17,20)(18,22)(19,21)(23,24)(25,30)(26,32)(27,31)(28,34)(29,33)(36,41)(37,40)(38,43)(39,42)(44,45)(46,49)(47,48)(50,51); s3 := Sym(51)!(12,18)(13,15)(14,26)(16,28)(17,21)(19,23)(20,36)(22,38)(24,29)(25,31)(27,33)(30,44)(32,46)(34,39)(35,40)(37,42)(41,50)(43,47)(45,48)(49,51); poly := sub<Sym(51)|s0,s1,s2,s3>;
Finitely Presented Group Representation (Magma)
poly<s0,s1,s2,s3> := Group< s0,s1,s2,s3 | s0*s0, s1*s1, s2*s2, s3*s3, s0*s2*s0*s2, s1*s2*s1*s2, s0*s3*s0*s3, s1*s3*s1*s3, s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*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*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*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3 >;