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