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