This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {21,2,18}*1512
if this polytope has a name. Group : SmallGroup(1512,560) Rank : 4 Schlafli Type : {21,2,18} Number of vertices, edges, etc : 21, 21, 18, 18 Order of s0s1s2s3 : 126 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 : {21,2,9}*756
3-fold quotients : {7,2,18}*504, {21,2,6}*504
6-fold quotients : {7,2,9}*252, {21,2,3}*252
7-fold quotients : {3,2,18}*216
9-fold quotients : {7,2,6}*168, {21,2,2}*168
14-fold quotients : {3,2,9}*108
18-fold quotients : {7,2,3}*84
21-fold quotients : {3,2,6}*72
27-fold quotients : {7,2,2}*56
42-fold quotients : {3,2,3}*36
63-fold quotients : {3,2,2}*24 Covers (Minimal Covers in Boldface) :
None in this atlas. Permutation Representation (GAP) :