Overview
- Group
- SmallGroup(768,327684)
- Rank
- 4
- Schläfli Type
- {2,96,2}
- Vertices, edges, …
- 2, 96, 96, 2
- Order of s0s1s2s3
- 96
- Order of s0s1s2s3s2s1
- 2
- Also known as
- if this polytope has a name.
Special Properties
- Degenerate
- Universal
- Orientable
- Flat
- Self-Dual
Quotients maximal quotients in bold
2-fold
3-fold
4-fold
6-fold
8-fold
12-fold
16-fold
24-fold
32-fold
48-fold
Covers minimal covers in bold
None in this atlas.
Representations
Permutation Representation (GAP)
s0 := (1,2);; s1 := ( 4, 5)( 7, 8)( 9,12)(10,14)(11,13)(15,21)(16,23)(17,22)(18,24)(19,26)(20,25)(27,39)(28,41)(29,40)(30,42)(31,44)(32,43)(33,48)(34,50)(35,49)(36,45)(37,47)(38,46)(51,75)(52,77)(53,76)(54,78)(55,80)(56,79)(57,84)(58,86)(59,85)(60,81)(61,83)(62,82)(63,93)(64,95)(65,94)(66,96)(67,98)(68,97)(69,87)(70,89)(71,88)(72,90)(73,92)(74,91);; s2 := ( 3,52)( 4,51)( 5,53)( 6,55)( 7,54)( 8,56)( 9,61)(10,60)(11,62)(12,58)(13,57)(14,59)(15,70)(16,69)(17,71)(18,73)(19,72)(20,74)(21,64)(22,63)(23,65)(24,67)(25,66)(26,68)(27,88)(28,87)(29,89)(30,91)(31,90)(32,92)(33,97)(34,96)(35,98)(36,94)(37,93)(38,95)(39,76)(40,75)(41,77)(42,79)(43,78)(44,80)(45,85)(46,84)(47,86)(48,82)(49,81)(50,83);; s3 := ( 99,100);; 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, s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2 ];;
poly := F / rels;;
Permutation Representation (Magma)
s0 := Sym(100)!(1,2); s1 := Sym(100)!( 4, 5)( 7, 8)( 9,12)(10,14)(11,13)(15,21)(16,23)(17,22)(18,24)(19,26)(20,25)(27,39)(28,41)(29,40)(30,42)(31,44)(32,43)(33,48)(34,50)(35,49)(36,45)(37,47)(38,46)(51,75)(52,77)(53,76)(54,78)(55,80)(56,79)(57,84)(58,86)(59,85)(60,81)(61,83)(62,82)(63,93)(64,95)(65,94)(66,96)(67,98)(68,97)(69,87)(70,89)(71,88)(72,90)(73,92)(74,91); s2 := Sym(100)!( 3,52)( 4,51)( 5,53)( 6,55)( 7,54)( 8,56)( 9,61)(10,60)(11,62)(12,58)(13,57)(14,59)(15,70)(16,69)(17,71)(18,73)(19,72)(20,74)(21,64)(22,63)(23,65)(24,67)(25,66)(26,68)(27,88)(28,87)(29,89)(30,91)(31,90)(32,92)(33,97)(34,96)(35,98)(36,94)(37,93)(38,95)(39,76)(40,75)(41,77)(42,79)(43,78)(44,80)(45,85)(46,84)(47,86)(48,82)(49,81)(50,83); s3 := Sym(100)!( 99,100); poly := sub<Sym(100)|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, s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2 >;