Polytope of Type {2,11,2,20}

This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {2,11,2,20}*1760
if this polytope has a name.
Group : SmallGroup(1760,1180)
Rank : 5
Schlafli Type : {2,11,2,20}
Number of vertices, edges, etc : 2, 11, 11, 20, 20
Order of s₀s₁s₂s₃s₄ : 220
Order of s₀s₁s₂s₃s₄s₃s₂s₁ : 2
Special Properties :
   Degenerate
   Universal
   Orientable
   Flat
Related Polytopes :
   Facet
   Vertex Figure
   Dual
Facet Of :
   None in this Atlas
Vertex Figure Of :
   None in this Atlas
Quotients (Maximal Quotients in Boldface) :
   2-fold quotients : {2,11,2,10}*880
   4-fold quotients : {2,11,2,5}*440
   5-fold quotients : {2,11,2,4}*352
   10-fold quotients : {2,11,2,2}*176
Covers (Minimal Covers in Boldface) :
   None in this atlas.
Permutation Representation (GAP) :

s0 := (1,2);;
s1 := ( 4, 5)( 6, 7)( 8, 9)(10,11)(12,13);;
s2 := ( 3, 4)( 5, 6)( 7, 8)( 9,10)(11,12);;
s3 := (15,16)(17,18)(20,23)(21,22)(24,25)(26,27)(28,31)(29,30)(32,33);;
s4 := (14,20)(15,17)(16,26)(18,28)(19,22)(21,24)(23,32)(25,29)(27,30)(31,33);;
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*s1*s0*s1, 
s0*s2*s0*s2, s0*s3*s0*s3, s1*s3*s1*s3, 
s2*s3*s2*s3, s0*s4*s0*s4, s1*s4*s1*s4, 
s2*s4*s2*s4, s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2, 
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*s3*s4*s3*s4*s3*s4*s3*s4 ];;
poly := F / rels;;

Permutation Representation (Magma) :

s0 := Sym(33)!(1,2);
s1 := Sym(33)!( 4, 5)( 6, 7)( 8, 9)(10,11)(12,13);
s2 := Sym(33)!( 3, 4)( 5, 6)( 7, 8)( 9,10)(11,12);
s3 := Sym(33)!(15,16)(17,18)(20,23)(21,22)(24,25)(26,27)(28,31)(29,30)(32,33);
s4 := Sym(33)!(14,20)(15,17)(16,26)(18,28)(19,22)(21,24)(23,32)(25,29)(27,30)
(31,33);
poly := sub<Sym(33)|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*s1*s0*s1, s0*s2*s0*s2, 
s0*s3*s0*s3, s1*s3*s1*s3, s2*s3*s2*s3, 
s0*s4*s0*s4, s1*s4*s1*s4, s2*s4*s2*s4, 
s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2, 
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*s3*s4*s3*s4*s3*s4*s3*s4 >;

to this polytope