This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {33,2,12}*1584
if this polytope has a name. Group : SmallGroup(1584,561) Rank : 4 Schlafli Type : {33,2,12} Number of vertices, edges, etc : 33, 33, 12, 12 Order of s0s1s2s3 : 132 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 : {33,2,6}*792
3-fold quotients : {11,2,12}*528, {33,2,4}*528
4-fold quotients : {33,2,3}*396
6-fold quotients : {11,2,6}*264, {33,2,2}*264
9-fold quotients : {11,2,4}*176
11-fold quotients : {3,2,12}*144
12-fold quotients : {11,2,3}*132
18-fold quotients : {11,2,2}*88
22-fold quotients : {3,2,6}*72
33-fold quotients : {3,2,4}*48
44-fold quotients : {3,2,3}*36
66-fold quotients : {3,2,2}*24 Covers (Minimal Covers in Boldface) :
None in this atlas. Permutation Representation (GAP) :