Overview
- Group
- SmallGroup(1152,133448)
- Rank
- 5
- Schläfli Type
- {3,2,6,16}
- Vertices, edges, …
- 3, 3, 6, 48, 16
- 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 := ( 5, 6)( 8, 9)(11,12)(14,15)(17,18)(20,21)(23,24)(26,27)(29,30)(32,33)(35,36)(38,39)(41,42)(44,45)(47,48)(50,51);; s3 := ( 4, 5)( 7, 8)(10,14)(11,13)(12,15)(16,23)(17,22)(18,24)(19,26)(20,25)(21,27)(28,47)(29,46)(30,48)(31,50)(32,49)(33,51)(34,41)(35,40)(36,42)(37,44)(38,43)(39,45);; s4 := ( 4,28)( 5,29)( 6,30)( 7,31)( 8,32)( 9,33)(10,37)(11,38)(12,39)(13,34)(14,35)(15,36)(16,46)(17,47)(18,48)(19,49)(20,50)(21,51)(22,40)(23,41)(24,42)(25,43)(26,44)(27,45);; 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,
s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*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*s3*s4*s3*s4 ];;
poly := F / rels;;
Permutation Representation (Magma)
s0 := Sym(51)!(2,3); s1 := Sym(51)!(1,2); s2 := Sym(51)!( 5, 6)( 8, 9)(11,12)(14,15)(17,18)(20,21)(23,24)(26,27)(29,30)(32,33)(35,36)(38,39)(41,42)(44,45)(47,48)(50,51); s3 := Sym(51)!( 4, 5)( 7, 8)(10,14)(11,13)(12,15)(16,23)(17,22)(18,24)(19,26)(20,25)(21,27)(28,47)(29,46)(30,48)(31,50)(32,49)(33,51)(34,41)(35,40)(36,42)(37,44)(38,43)(39,45); s4 := Sym(51)!( 4,28)( 5,29)( 6,30)( 7,31)( 8,32)( 9,33)(10,37)(11,38)(12,39)(13,34)(14,35)(15,36)(16,46)(17,47)(18,48)(19,49)(20,50)(21,51)(22,40)(23,41)(24,42)(25,43)(26,44)(27,45); 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, s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*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*s3*s4*s3*s4 >;