Overview
- Group
- SmallGroup(1152,133448)
- Rank
- 5
- Schläfli Type
- {3,2,16,6}
- Vertices, edges, …
- 3, 3, 16, 48, 6
- Order of s0s1s2s3s4
- 48
- Order of s0s1s2s3s4s3s2s1
- 2
- Also known as
- if this polytope has a name.
Special Properties
- Degenerate
- Universal
- Orientable
- Flat
Quotients maximal quotients in bold
2-fold
3-fold
4-fold
6-fold
8-fold
12-fold
16-fold
24-fold
Covers minimal covers in bold
None in this atlas.
Representations
Permutation Representation (GAP)
s0 := (2,3);; s1 := (1,2);; s2 := (10,13)(11,14)(12,15)(16,22)(17,23)(18,24)(19,25)(20,26)(21,27)(28,46)(29,47)(30,48)(31,49)(32,50)(33,51)(34,40)(35,41)(36,42)(37,43)(38,44)(39,45);; s3 := ( 4,28)( 5,30)( 6,29)( 7,31)( 8,33)( 9,32)(10,37)(11,39)(12,38)(13,34)(14,36)(15,35)(16,46)(17,48)(18,47)(19,49)(20,51)(21,50)(22,40)(23,42)(24,41)(25,43)(26,45)(27,44);; s4 := ( 4, 5)( 7, 8)(10,11)(13,14)(16,17)(19,20)(22,23)(25,26)(28,29)(31,32)(34,35)(37,38)(40,41)(43,44)(46,47)(49,50);; 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,
s0*s1*s0*s1*s0*s1, s2*s3*s4*s3*s2*s3*s4*s3,
s3*s4*s3*s4*s3*s4*s3*s4*s3*s4*s3*s4,
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); s1 := Sym(51)!(1,2); s2 := Sym(51)!(10,13)(11,14)(12,15)(16,22)(17,23)(18,24)(19,25)(20,26)(21,27)(28,46)(29,47)(30,48)(31,49)(32,50)(33,51)(34,40)(35,41)(36,42)(37,43)(38,44)(39,45); s3 := Sym(51)!( 4,28)( 5,30)( 6,29)( 7,31)( 8,33)( 9,32)(10,37)(11,39)(12,38)(13,34)(14,36)(15,35)(16,46)(17,48)(18,47)(19,49)(20,51)(21,50)(22,40)(23,42)(24,41)(25,43)(26,45)(27,44); s4 := Sym(51)!( 4, 5)( 7, 8)(10,11)(13,14)(16,17)(19,20)(22,23)(25,26)(28,29)(31,32)(34,35)(37,38)(40,41)(43,44)(46,47)(49,50); poly := sub<Sym(51)|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, s0*s1*s0*s1*s0*s1, s2*s3*s4*s3*s2*s3*s4*s3, s3*s4*s3*s4*s3*s4*s3*s4*s3*s4*s3*s4, 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 >;