This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {9,2,42}*1512
if this polytope has a name. Group : SmallGroup(1512,560) Rank : 4 Schlafli Type : {9,2,42} Number of vertices, edges, etc : 9, 9, 42, 42 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 : {9,2,21}*756
3-fold quotients : {9,2,14}*504, {3,2,42}*504
6-fold quotients : {9,2,7}*252, {3,2,21}*252
7-fold quotients : {9,2,6}*216
9-fold quotients : {3,2,14}*168
14-fold quotients : {9,2,3}*108
18-fold quotients : {3,2,7}*84
21-fold quotients : {9,2,2}*72, {3,2,6}*72
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) :