This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {8,2,57}*1824
if this polytope has a name. Group : SmallGroup(1824,975) Rank : 4 Schlafli Type : {8,2,57} Number of vertices, edges, etc : 8, 8, 57, 57 Order of s0s1s2s3 : 456 Order of s0s1s2s3s2s1 : 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 : {4,2,57}*912
3-fold quotients : {8,2,19}*608
4-fold quotients : {2,2,57}*456
6-fold quotients : {4,2,19}*304
12-fold quotients : {2,2,19}*152
19-fold quotients : {8,2,3}*96
38-fold quotients : {4,2,3}*48
76-fold quotients : {2,2,3}*24 Covers (Minimal Covers in Boldface) :
None in this atlas. Permutation Representation (GAP) :