Overview
- Group
- SmallGroup(1152,155485)
- Rank
- 4
- Schläfli Type
- {2,24,3}
- Vertices, edges, …
- 2, 96, 144, 12
- Order of s0s1s2s3
- 6
- Order of s0s1s2s3s2s1
- 2
- Also known as
- if this polytope has a name.
Special Properties
- Degenerate
- Universal
- Orientable
- Flat
Quotients maximal quotients in bold
3-fold
4-fold
12-fold
16-fold
24-fold
48-fold
Covers minimal covers in bold
None in this atlas.
Representations
Permutation Representation (GAP)
s0 := (1,2);; s1 := ( 3,11)( 4,12)( 5,13)( 6,14)( 7,18)( 8,17)( 9,16)(10,15)(19,43)(20,44)(21,45)(22,46)(23,50)(24,49)(25,48)(26,47)(27,35)(28,36)(29,37)(30,38)(31,42)(32,41)(33,40)(34,39);; s2 := ( 3,19)( 4,20)( 5,22)( 6,21)( 7,30)( 8,29)( 9,27)(10,28)(11,25)(12,26)(13,24)(14,23)(15,32)(16,31)(17,33)(18,34)(37,38)(39,46)(40,45)(41,43)(42,44)(47,48);; s3 := ( 4, 6)( 7,16)( 8,17)( 9,18)(10,15)(12,14)(19,35)(20,38)(21,37)(22,36)(23,48)(24,49)(25,50)(26,47)(27,43)(28,46)(29,45)(30,44)(31,42)(32,39)(33,40)(34,41);; 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,
s2*s3*s2*s3*s2*s3, s1*s2*s1*s3*s2*s1*s3*s2*s1*s3*s2*s1*s3*s2*s1*s2*s3*s2,
s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s3*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s3*s1*s2 ];;
poly := F / rels;;
Permutation Representation (Magma)
s0 := Sym(50)!(1,2); s1 := Sym(50)!( 3,11)( 4,12)( 5,13)( 6,14)( 7,18)( 8,17)( 9,16)(10,15)(19,43)(20,44)(21,45)(22,46)(23,50)(24,49)(25,48)(26,47)(27,35)(28,36)(29,37)(30,38)(31,42)(32,41)(33,40)(34,39); s2 := Sym(50)!( 3,19)( 4,20)( 5,22)( 6,21)( 7,30)( 8,29)( 9,27)(10,28)(11,25)(12,26)(13,24)(14,23)(15,32)(16,31)(17,33)(18,34)(37,38)(39,46)(40,45)(41,43)(42,44)(47,48); s3 := Sym(50)!( 4, 6)( 7,16)( 8,17)( 9,18)(10,15)(12,14)(19,35)(20,38)(21,37)(22,36)(23,48)(24,49)(25,50)(26,47)(27,43)(28,46)(29,45)(30,44)(31,42)(32,39)(33,40)(34,41); poly := sub<Sym(50)|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, s2*s3*s2*s3*s2*s3, s1*s2*s1*s3*s2*s1*s3*s2*s1*s3*s2*s1*s3*s2*s1*s2*s3*s2, s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s3*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s3*s1*s2 >;