Overview
- Group
- SmallGroup(1568,917)
- Rank
- 4
- Schläfli Type
- {2,8,8}
- Vertices, edges, …
- 2, 49, 196, 49
- Order of s0s1s2s3
- 14
- Order of s0s1s2s3s2s1
- 2
- Also known as
- if this polytope has a name.
Special Properties
- Degenerate
- Universal
- 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 := ( 4,34)( 5,16)( 6,40)( 7,22)( 8,46)( 9,28)(10,36)(12,42)(13,17)(14,48)(15,30)(18,44)(20,50)(21,25)(23,31)(24,39)(26,45)(29,33)(32,47)(37,41)(38,49);; s2 := ( 4,48)( 5,44)( 6,33)( 7,29)( 8,18)( 9,14)(10,32)(11,28)(12,17)(15,47)(16,43)(19,46)(20,42)(21,31)(22,27)(24,41)(25,37)(30,45)(34,51)(35,40)(38,50);; s3 := ( 3,11)( 4,36)( 6,30)( 7,48)( 8,17)( 9,42)(10,34)(12,28)(13,46)(14,22)(15,40)(18,26)(19,51)(21,38)(23,32)(25,49)(27,43)(29,37)(31,47)(33,41)(44,45);; 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*s1*s0*s1,
s0*s2*s0*s2, s0*s3*s0*s3, s1*s3*s1*s3,
s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2,
s1*s2*s1*s2*s3*s2*s3*s2*s1*s2*s1*s2*s3*s2*s3*s2,
s1*s2*s3*s2*s1*s2*s3*s2*s1*s2*s3*s2*s1*s2*s3*s2,
s2*s3*s1*s2*s3*s2*s1*s2*s1*s2*s1*s2*s3*s2*s3*s1*s2*s3 ];;
poly := F / rels;;
Permutation Representation (Magma)
s0 := Sym(51)!(1,2); s1 := Sym(51)!( 4,34)( 5,16)( 6,40)( 7,22)( 8,46)( 9,28)(10,36)(12,42)(13,17)(14,48)(15,30)(18,44)(20,50)(21,25)(23,31)(24,39)(26,45)(29,33)(32,47)(37,41)(38,49); s2 := Sym(51)!( 4,48)( 5,44)( 6,33)( 7,29)( 8,18)( 9,14)(10,32)(11,28)(12,17)(15,47)(16,43)(19,46)(20,42)(21,31)(22,27)(24,41)(25,37)(30,45)(34,51)(35,40)(38,50); s3 := Sym(51)!( 3,11)( 4,36)( 6,30)( 7,48)( 8,17)( 9,42)(10,34)(12,28)(13,46)(14,22)(15,40)(18,26)(19,51)(21,38)(23,32)(25,49)(27,43)(29,37)(31,47)(33,41)(44,45); 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*s1*s0*s1, s0*s2*s0*s2, s0*s3*s0*s3, s1*s3*s1*s3, s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2, s1*s2*s1*s2*s3*s2*s3*s2*s1*s2*s1*s2*s3*s2*s3*s2, s1*s2*s3*s2*s1*s2*s3*s2*s1*s2*s3*s2*s1*s2*s3*s2, s2*s3*s1*s2*s3*s2*s1*s2*s1*s2*s1*s2*s3*s2*s3*s1*s2*s3 >;