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