Overview
- Group
- SmallGroup(1568,921)
- Rank
- 5
- Schläfli Type
- {2,2,4,14}
- Vertices, edges, …
- 2, 2, 14, 98, 49
- Order of s0s1s2s3s4
- 4
- 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
No regular quotients.
Covers minimal covers in bold
None in this atlas.
Representations
Permutation Representation (GAP)
s0 := (1,2);; s1 := (3,4);; s2 := (12,47)(13,48)(14,49)(15,50)(16,51)(17,52)(18,53)(19,40)(20,41)(21,42)(22,43)(23,44)(24,45)(25,46)(26,33)(27,34)(28,35)(29,36)(30,37)(31,38)(32,39);; s3 := ( 6,12)( 7,19)( 8,26)( 9,33)(10,40)(11,47)(14,20)(15,27)(16,34)(17,41)(18,48)(22,28)(23,35)(24,42)(25,49)(30,36)(31,43)(32,50)(38,44)(39,51)(46,52);; s4 := ( 5, 6)( 7,11)( 8,10)(12,48)(13,47)(14,53)(15,52)(16,51)(17,50)(18,49)(19,41)(20,40)(21,46)(22,45)(23,44)(24,43)(25,42)(26,34)(27,33)(28,39)(29,38)(30,37)(31,36)(32,35);; 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*s1*s0*s1,
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*s2*s3*s2*s3*s2*s3,
s4*s2*s3*s4*s2*s3*s4*s2*s3*s4*s2*s3,
s3*s4*s3*s4*s3*s4*s3*s4*s3*s4*s3*s4*s3*s4*s3*s4*s3*s4*s3*s4*s3*s4*s3*s4*s3*s4*s3*s4,
s4*s3*s2*s3*s4*s3*s2*s3*s4*s2*s3*s2*s3*s4*s3*s2*s3*s4*s3*s2*s3*s4*s3*s2*s3*s4*s3*s2*s3 ];;
poly := F / rels;;
Permutation Representation (Magma)
s0 := Sym(53)!(1,2); s1 := Sym(53)!(3,4); s2 := Sym(53)!(12,47)(13,48)(14,49)(15,50)(16,51)(17,52)(18,53)(19,40)(20,41)(21,42)(22,43)(23,44)(24,45)(25,46)(26,33)(27,34)(28,35)(29,36)(30,37)(31,38)(32,39); s3 := Sym(53)!( 6,12)( 7,19)( 8,26)( 9,33)(10,40)(11,47)(14,20)(15,27)(16,34)(17,41)(18,48)(22,28)(23,35)(24,42)(25,49)(30,36)(31,43)(32,50)(38,44)(39,51)(46,52); s4 := Sym(53)!( 5, 6)( 7,11)( 8,10)(12,48)(13,47)(14,53)(15,52)(16,51)(17,50)(18,49)(19,41)(20,40)(21,46)(22,45)(23,44)(24,43)(25,42)(26,34)(27,33)(28,39)(29,38)(30,37)(31,36)(32,35); poly := sub<Sym(53)|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*s1*s0*s1, 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*s2*s3*s2*s3*s2*s3, s4*s2*s3*s4*s2*s3*s4*s2*s3*s4*s2*s3, s3*s4*s3*s4*s3*s4*s3*s4*s3*s4*s3*s4*s3*s4*s3*s4*s3*s4*s3*s4*s3*s4*s3*s4*s3*s4*s3*s4, s4*s3*s2*s3*s4*s3*s2*s3*s4*s2*s3*s2*s3*s4*s3*s2*s3*s4*s3*s2*s3*s4*s3*s2*s3*s4*s3*s2*s3 >;