This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {6,4,8}*768b
if this polytope has a name. Group : SmallGroup(768,323566) Rank : 4 Schlafli Type : {6,4,8} Number of vertices, edges, etc : 6, 24, 32, 16 Order of s0s1s2s3 : 12 Order of s0s1s2s3s2s1 : 2 Special Properties :
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 : {6,4,4}*384a
3-fold quotients : {2,4,8}*256b
4-fold quotients : {6,4,4}*192
6-fold quotients : {2,4,4}*128
8-fold quotients : {6,2,4}*96, {6,4,2}*96a
12-fold quotients : {2,4,4}*64
16-fold quotients : {3,2,4}*48, {6,2,2}*48
24-fold quotients : {2,2,4}*32, {2,4,2}*32
32-fold quotients : {3,2,2}*24
48-fold quotients : {2,2,2}*16 Covers (Minimal Covers in Boldface) :
None in this atlas. Permutation Representation (GAP) :