This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {4,2,4,26}*1664
if this polytope has a name. Group : SmallGroup(1664,17945) Rank : 5 Schlafli Type : {4,2,4,26} Number of vertices, edges, etc : 4, 4, 4, 52, 26 Order of s0s1s2s3s4 : 52 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 : {2,2,4,26}*832, {4,2,2,26}*832
4-fold quotients : {4,2,2,13}*416, {2,2,2,26}*416
8-fold quotients : {2,2,2,13}*208
13-fold quotients : {4,2,4,2}*128
26-fold quotients : {2,2,4,2}*64, {4,2,2,2}*64
52-fold quotients : {2,2,2,2}*32 Covers (Minimal Covers in Boldface) :
None in this atlas. Permutation Representation (GAP) :