This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {18,2,22}*1584
if this polytope has a name. Group : SmallGroup(1584,368) Rank : 4 Schlafli Type : {18,2,22} Number of vertices, edges, etc : 18, 18, 22, 22 Order of s0s1s2s3 : 198 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 : {9,2,22}*792, {18,2,11}*792
3-fold quotients : {6,2,22}*528
4-fold quotients : {9,2,11}*396
6-fold quotients : {3,2,22}*264, {6,2,11}*264
9-fold quotients : {2,2,22}*176
11-fold quotients : {18,2,2}*144
12-fold quotients : {3,2,11}*132
18-fold quotients : {2,2,11}*88
22-fold quotients : {9,2,2}*72
33-fold quotients : {6,2,2}*48
66-fold quotients : {3,2,2}*24
99-fold quotients : {2,2,2}*16 Covers (Minimal Covers in Boldface) :
None in this atlas. Permutation Representation (GAP) :