This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {12,2,27}*1296
if this polytope has a name. Group : SmallGroup(1296,825) Rank : 4 Schlafli Type : {12,2,27} Number of vertices, edges, etc : 12, 12, 27, 27 Order of s0s1s2s3 : 108 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 : {6,2,27}*648
3-fold quotients : {4,2,27}*432, {12,2,9}*432
4-fold quotients : {3,2,27}*324
6-fold quotients : {2,2,27}*216, {6,2,9}*216
9-fold quotients : {4,2,9}*144, {12,2,3}*144
12-fold quotients : {3,2,9}*108
18-fold quotients : {2,2,9}*72, {6,2,3}*72
27-fold quotients : {4,2,3}*48
36-fold quotients : {3,2,3}*36
54-fold quotients : {2,2,3}*24 Covers (Minimal Covers in Boldface) :
None in this atlas. Permutation Representation (GAP) :