Polytope of Type {2,3,2,2}
This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {2,3,2,2}*48
if this polytope has a name.
Group : SmallGroup(48,51)
Rank : 5
Schlafli Type : {2,3,2,2}
Number of vertices, edges, etc : 2, 3, 3, 2, 2
Order of s0s1s2s3s4 : 6
Order of s0s1s2s3s4s3s2s1 : 2
Special Properties :
Degenerate
Universal
Orientable
Flat
Related Polytopes :
Facet
Vertex Figure
Dual
Facet Of :
{2,3,2,2,2} of size 96
{2,3,2,2,3} of size 144
{2,3,2,2,4} of size 192
{2,3,2,2,5} of size 240
{2,3,2,2,6} of size 288
{2,3,2,2,7} of size 336
{2,3,2,2,8} of size 384
{2,3,2,2,9} of size 432
{2,3,2,2,10} of size 480
{2,3,2,2,11} of size 528
{2,3,2,2,12} of size 576
{2,3,2,2,13} of size 624
{2,3,2,2,14} of size 672
{2,3,2,2,15} of size 720
{2,3,2,2,16} of size 768
{2,3,2,2,17} of size 816
{2,3,2,2,18} of size 864
{2,3,2,2,19} of size 912
{2,3,2,2,20} of size 960
{2,3,2,2,21} of size 1008
{2,3,2,2,22} of size 1056
{2,3,2,2,23} of size 1104
{2,3,2,2,24} of size 1152
{2,3,2,2,25} of size 1200
{2,3,2,2,26} of size 1248
{2,3,2,2,27} of size 1296
{2,3,2,2,28} of size 1344
{2,3,2,2,29} of size 1392
{2,3,2,2,30} of size 1440
{2,3,2,2,31} of size 1488
{2,3,2,2,33} of size 1584
{2,3,2,2,34} of size 1632
{2,3,2,2,35} of size 1680
{2,3,2,2,36} of size 1728
{2,3,2,2,37} of size 1776
{2,3,2,2,38} of size 1824
{2,3,2,2,39} of size 1872
{2,3,2,2,40} of size 1920
{2,3,2,2,41} of size 1968
Vertex Figure Of :
{2,2,3,2,2} of size 96
{3,2,3,2,2} of size 144
{4,2,3,2,2} of size 192
{5,2,3,2,2} of size 240
{6,2,3,2,2} of size 288
{7,2,3,2,2} of size 336
{8,2,3,2,2} of size 384
{9,2,3,2,2} of size 432
{10,2,3,2,2} of size 480
{11,2,3,2,2} of size 528
{12,2,3,2,2} of size 576
{13,2,3,2,2} of size 624
{14,2,3,2,2} of size 672
{15,2,3,2,2} of size 720
{16,2,3,2,2} of size 768
{17,2,3,2,2} of size 816
{18,2,3,2,2} of size 864
{19,2,3,2,2} of size 912
{20,2,3,2,2} of size 960
{21,2,3,2,2} of size 1008
{22,2,3,2,2} of size 1056
{23,2,3,2,2} of size 1104
{24,2,3,2,2} of size 1152
{25,2,3,2,2} of size 1200
{26,2,3,2,2} of size 1248
{27,2,3,2,2} of size 1296
{28,2,3,2,2} of size 1344
{29,2,3,2,2} of size 1392
{30,2,3,2,2} of size 1440
{31,2,3,2,2} of size 1488
{33,2,3,2,2} of size 1584
{34,2,3,2,2} of size 1632
{35,2,3,2,2} of size 1680
{36,2,3,2,2} of size 1728
{37,2,3,2,2} of size 1776
{38,2,3,2,2} of size 1824
{39,2,3,2,2} of size 1872
{40,2,3,2,2} of size 1920
{41,2,3,2,2} of size 1968
Quotients (Maximal Quotients in Boldface) :
No Regular Quotients.
Covers (Minimal Covers in Boldface) :
2-fold covers : {2,3,2,4}*96, {2,6,2,2}*96
3-fold covers : {2,9,2,2}*144, {2,3,2,6}*144, {2,3,6,2}*144, {6,3,2,2}*144
4-fold covers : {2,3,2,8}*192, {2,12,2,2}*192, {2,6,2,4}*192, {2,6,4,2}*192a, {4,6,2,2}*192a, {2,3,4,2}*192, {4,3,2,2}*192
5-fold covers : {2,3,2,10}*240, {2,15,2,2}*240
6-fold covers : {2,9,2,4}*288, {2,18,2,2}*288, {2,3,2,12}*288, {6,3,2,4}*288, {2,3,6,4}*288, {2,6,2,6}*288, {2,6,6,2}*288a, {2,6,6,2}*288c, {6,6,2,2}*288a, {6,6,2,2}*288b
7-fold covers : {2,3,2,14}*336, {2,21,2,2}*336
8-fold covers : {2,3,2,16}*384, {2,12,4,2}*384a, {4,12,2,2}*384a, {2,12,2,4}*384, {2,6,4,4}*384, {4,6,4,2}*384a, {4,6,2,4}*384a, {2,24,2,2}*384, {2,6,2,8}*384, {2,6,8,2}*384, {8,6,2,2}*384, {2,3,4,4}*384b, {4,3,2,4}*384, {2,3,8,2}*384, {8,3,2,2}*384, {2,6,4,2}*384, {4,6,2,2}*384
9-fold covers : {2,27,2,2}*432, {2,3,2,18}*432, {2,9,2,6}*432, {2,9,6,2}*432, {6,9,2,2}*432, {2,3,6,2}*432, {2,3,6,6}*432a, {6,3,2,2}*432, {2,3,6,6}*432b, {6,3,2,6}*432, {6,3,6,2}*432
10-fold covers : {2,3,2,20}*480, {2,15,2,4}*480, {2,6,2,10}*480, {2,6,10,2}*480, {10,6,2,2}*480, {2,30,2,2}*480
11-fold covers : {2,3,2,22}*528, {2,33,2,2}*528
12-fold covers : {2,9,2,8}*576, {2,36,2,2}*576, {2,18,2,4}*576, {2,18,4,2}*576a, {4,18,2,2}*576a, {2,3,2,24}*576, {6,3,2,8}*576, {2,3,6,8}*576, {2,9,4,2}*576, {4,9,2,2}*576, {2,6,2,12}*576, {2,6,12,2}*576a, {2,12,2,6}*576, {2,12,6,2}*576a, {2,12,6,2}*576b, {6,12,2,2}*576a, {6,12,2,2}*576b, {12,6,2,2}*576a, {2,6,4,6}*576, {2,6,6,4}*576a, {4,6,2,6}*576a, {4,6,6,2}*576a, {4,6,6,2}*576b, {6,6,2,4}*576a, {6,6,2,4}*576b, {6,6,4,2}*576a, {6,6,4,2}*576b, {2,6,6,4}*576c, {2,6,12,2}*576c, {12,6,2,2}*576c, {2,3,4,6}*576, {2,3,6,2}*576, {2,3,12,2}*576, {4,3,2,6}*576, {4,3,6,2}*576, {6,3,2,2}*576, {6,3,4,2}*576, {12,3,2,2}*576
13-fold covers : {2,3,2,26}*624, {2,39,2,2}*624
14-fold covers : {2,3,2,28}*672, {2,21,2,4}*672, {2,6,2,14}*672, {2,6,14,2}*672, {14,6,2,2}*672, {2,42,2,2}*672
15-fold covers : {2,9,2,10}*720, {2,45,2,2}*720, {2,3,6,10}*720, {6,3,2,10}*720, {2,3,2,30}*720, {2,15,2,6}*720, {2,15,6,2}*720, {6,15,2,2}*720
16-fold covers : {2,3,2,32}*768, {2,12,4,4}*768, {4,12,4,2}*768a, {4,6,4,4}*768a, {4,12,2,4}*768a, {2,6,4,8}*768a, {2,6,8,4}*768a, {2,12,8,2}*768a, {8,12,2,2}*768a, {2,24,4,2}*768a, {4,24,2,2}*768a, {2,6,4,8}*768b, {2,6,8,4}*768b, {2,12,8,2}*768b, {8,12,2,2}*768b, {2,24,4,2}*768b, {4,24,2,2}*768b, {2,6,4,4}*768a, {2,12,4,2}*768a, {4,12,2,2}*768a, {4,6,2,8}*768a, {8,6,2,4}*768, {4,6,8,2}*768a, {8,6,4,2}*768a, {2,12,2,8}*768, {2,24,2,4}*768, {2,6,2,16}*768, {2,6,16,2}*768, {16,6,2,2}*768, {2,48,2,2}*768, {2,3,8,2}*768, {8,3,2,2}*768, {2,3,4,4}*768b, {2,3,8,4}*768, {2,3,4,8}*768, {4,3,2,8}*768, {8,3,2,4}*768, {2,12,4,2}*768b, {4,12,2,2}*768b, {2,6,4,2}*768b, {2,6,4,4}*768d, {2,12,4,2}*768c, {4,6,2,2}*768b, {4,6,2,4}*768, {4,6,4,2}*768a, {4,6,4,2}*768b, {4,12,2,2}*768c, {2,6,8,2}*768b, {8,6,2,2}*768b, {2,6,8,2}*768c, {8,6,2,2}*768c, {4,3,4,2}*768
17-fold covers : {2,3,2,34}*816, {2,51,2,2}*816
18-fold covers : {2,27,2,4}*864, {2,54,2,2}*864, {2,3,2,36}*864, {2,9,2,12}*864, {2,3,6,12}*864a, {6,9,2,4}*864, {6,3,2,4}*864, {2,9,6,4}*864, {2,3,6,4}*864a, {2,6,2,18}*864, {2,6,18,2}*864a, {2,18,2,6}*864, {2,18,6,2}*864a, {2,18,6,2}*864b, {6,18,2,2}*864a, {6,18,2,2}*864b, {18,6,2,2}*864a, {2,6,6,2}*864b, {2,6,6,2}*864c, {2,6,6,6}*864a, {6,6,2,2}*864a, {6,6,2,2}*864b, {6,3,2,12}*864, {2,3,6,12}*864b, {6,3,6,4}*864, {2,3,6,4}*864b, {2,6,6,2}*864d, {2,6,6,6}*864b, {2,6,6,6}*864c, {2,6,6,6}*864e, {2,6,6,6}*864g, {6,6,2,2}*864d, {6,6,2,6}*864a, {6,6,2,6}*864b, {6,6,6,2}*864b, {6,6,6,2}*864d, {6,6,6,2}*864e, {6,6,6,2}*864f
19-fold covers : {2,3,2,38}*912, {2,57,2,2}*912
20-fold covers : {2,3,2,40}*960, {2,15,2,8}*960, {2,12,2,10}*960, {2,12,10,2}*960, {10,12,2,2}*960, {2,6,2,20}*960, {2,6,20,2}*960a, {20,6,2,2}*960a, {2,6,4,10}*960, {2,6,10,4}*960, {4,6,2,10}*960a, {4,6,10,2}*960a, {10,6,2,4}*960, {10,6,4,2}*960a, {2,60,2,2}*960, {2,30,2,4}*960, {2,30,4,2}*960a, {4,30,2,2}*960a, {2,3,4,10}*960, {4,3,2,10}*960, {2,15,4,2}*960, {4,15,2,2}*960
21-fold covers : {2,9,2,14}*1008, {2,63,2,2}*1008, {2,3,6,14}*1008, {6,3,2,14}*1008, {2,3,2,42}*1008, {2,21,2,6}*1008, {2,21,6,2}*1008, {6,21,2,2}*1008
22-fold covers : {2,3,2,44}*1056, {2,33,2,4}*1056, {2,6,2,22}*1056, {2,6,22,2}*1056, {22,6,2,2}*1056, {2,66,2,2}*1056
23-fold covers : {2,3,2,46}*1104, {2,69,2,2}*1104
24-fold covers : {2,9,2,16}*1152, {6,3,2,16}*1152, {2,3,6,16}*1152, {2,3,2,48}*1152, {2,18,4,4}*1152, {2,36,4,2}*1152a, {4,36,2,2}*1152a, {6,6,4,4}*1152a, {6,6,4,4}*1152b, {2,6,4,12}*1152, {2,6,12,4}*1152a, {2,12,4,6}*1152, {4,12,2,6}*1152a, {4,12,6,2}*1152a, {4,12,6,2}*1152b, {6,12,4,2}*1152a, {6,12,4,2}*1152b, {2,6,12,4}*1152c, {2,12,12,2}*1152a, {2,12,12,2}*1152c, {12,12,2,2}*1152a, {12,12,2,2}*1152b, {4,18,2,4}*1152a, {4,18,4,2}*1152a, {2,36,2,4}*1152, {4,6,4,6}*1152a, {4,6,6,4}*1152a, {4,6,6,4}*1152b, {12,6,2,4}*1152a, {4,6,2,12}*1152a, {6,12,2,4}*1152b, {6,12,2,4}*1152c, {12,6,2,4}*1152b, {4,6,12,2}*1152a, {12,6,4,2}*1152a, {2,12,6,4}*1152b, {4,6,12,2}*1152b, {12,6,4,2}*1152b, {2,12,6,4}*1152c, {2,12,2,12}*1152, {2,18,2,8}*1152, {2,18,8,2}*1152, {8,18,2,2}*1152, {2,72,2,2}*1152, {2,6,6,8}*1152a, {2,6,8,6}*1152, {6,6,2,8}*1152a, {6,6,2,8}*1152b, {6,6,8,2}*1152a, {6,6,8,2}*1152b, {8,6,2,6}*1152, {8,6,6,2}*1152a, {8,6,6,2}*1152b, {2,6,6,8}*1152c, {2,6,24,2}*1152a, {24,6,2,2}*1152a, {2,6,2,24}*1152, {2,6,24,2}*1152b, {2,24,2,6}*1152, {2,24,6,2}*1152b, {2,24,6,2}*1152c, {6,24,2,2}*1152b, {6,24,2,2}*1152c, {24,6,2,2}*1152b, {2,9,4,4}*1152b, {4,9,2,4}*1152, {2,9,8,2}*1152, {8,9,2,2}*1152, {2,18,4,2}*1152, {4,18,2,2}*1152, {2,3,4,12}*1152, {4,3,2,12}*1152, {6,3,4,4}*1152b, {6,3,2,4}*1152, {12,3,2,4}*1152, {2,3,12,2}*1152, {2,3,24,2}*1152, {12,3,2,2}*1152, {24,3,2,2}*1152, {2,3,8,6}*1152, {6,3,8,2}*1152, {8,3,2,6}*1152, {8,3,6,2}*1152, {4,3,6,4}*1152, {2,3,6,4}*1152a, {2,3,12,4}*1152, {2,6,4,6}*1152a, {2,6,4,6}*1152b, {2,6,6,2}*1152b, {2,6,6,4}*1152a, {2,6,6,6}*1152a, {2,6,12,2}*1152a, {2,6,12,2}*1152b, {2,12,6,2}*1152a, {4,6,2,6}*1152, {4,6,6,2}*1152a, {4,6,6,2}*1152b, {6,6,2,2}*1152a, {6,6,4,2}*1152a, {6,6,4,2}*1152b, {6,12,2,2}*1152a, {12,6,2,2}*1152a, {12,6,2,2}*1152b
25-fold covers : {2,3,2,50}*1200, {2,75,2,2}*1200, {2,3,10,2}*1200, {10,3,2,2}*1200, {2,15,2,10}*1200, {2,15,10,2}*1200, {10,15,2,2}*1200
26-fold covers : {2,3,2,52}*1248, {2,39,2,4}*1248, {2,6,2,26}*1248, {2,6,26,2}*1248, {26,6,2,2}*1248, {2,78,2,2}*1248
27-fold covers : {2,81,2,2}*1296, {2,9,2,18}*1296, {2,9,18,2}*1296, {18,9,2,2}*1296, {2,3,6,18}*1296a, {2,9,6,2}*1296a, {2,9,6,6}*1296a, {6,9,2,2}*1296a, {2,3,2,54}*1296, {2,27,2,6}*1296, {2,27,6,2}*1296, {6,27,2,2}*1296, {2,3,6,6}*1296a, {2,3,6,6}*1296b, {2,9,6,2}*1296b, {2,9,6,2}*1296c, {6,9,2,2}*1296b, {6,9,2,2}*1296c, {2,9,6,2}*1296d, {6,9,2,2}*1296d, {2,3,6,2}*1296, {2,3,18,2}*1296, {6,3,2,2}*1296, {18,3,2,2}*1296, {2,3,6,18}*1296b, {2,9,6,6}*1296b, {6,3,2,18}*1296, {6,9,2,6}*1296, {6,9,6,2}*1296, {6,3,6,6}*1296a, {2,3,6,6}*1296c, {2,3,6,6}*1296d, {2,3,6,6}*1296e, {6,3,2,6}*1296, {6,3,6,2}*1296a, {6,3,6,2}*1296b, {6,3,6,6}*1296b
28-fold covers : {2,3,2,56}*1344, {2,21,2,8}*1344, {2,12,2,14}*1344, {2,12,14,2}*1344, {14,12,2,2}*1344, {2,6,2,28}*1344, {2,6,28,2}*1344a, {28,6,2,2}*1344a, {2,6,4,14}*1344, {2,6,14,4}*1344, {4,6,2,14}*1344a, {4,6,14,2}*1344a, {14,6,2,4}*1344, {14,6,4,2}*1344a, {2,84,2,2}*1344, {2,42,2,4}*1344, {2,42,4,2}*1344a, {4,42,2,2}*1344a, {2,3,4,14}*1344, {4,3,2,14}*1344, {2,21,4,2}*1344, {4,21,2,2}*1344
29-fold covers : {2,3,2,58}*1392, {2,87,2,2}*1392
30-fold covers : {2,9,2,20}*1440, {2,45,2,4}*1440, {2,18,2,10}*1440, {2,18,10,2}*1440, {10,18,2,2}*1440, {2,90,2,2}*1440, {6,3,2,20}*1440, {2,3,6,20}*1440, {2,15,2,12}*1440, {2,3,2,60}*1440, {6,15,2,4}*1440, {2,15,6,4}*1440, {2,6,6,10}*1440a, {2,6,6,10}*1440c, {2,6,10,6}*1440, {2,6,30,2}*1440a, {6,6,2,10}*1440a, {6,6,2,10}*1440b, {6,6,10,2}*1440a, {6,6,10,2}*1440b, {10,6,2,6}*1440, {10,6,6,2}*1440a, {10,6,6,2}*1440c, {30,6,2,2}*1440a, {2,6,2,30}*1440, {2,6,30,2}*1440b, {2,30,2,6}*1440, {2,30,6,2}*1440b, {2,30,6,2}*1440c, {6,30,2,2}*1440b, {6,30,2,2}*1440c, {30,6,2,2}*1440b
31-fold covers : {2,3,2,62}*1488, {2,93,2,2}*1488
33-fold covers : {2,9,2,22}*1584, {2,99,2,2}*1584, {2,3,6,22}*1584, {6,3,2,22}*1584, {2,3,2,66}*1584, {2,33,2,6}*1584, {2,33,6,2}*1584, {6,33,2,2}*1584
34-fold covers : {2,3,2,68}*1632, {2,51,2,4}*1632, {2,6,2,34}*1632, {2,6,34,2}*1632, {34,6,2,2}*1632, {2,102,2,2}*1632
35-fold covers : {2,15,2,14}*1680, {2,21,2,10}*1680, {2,3,2,70}*1680, {2,105,2,2}*1680
36-fold covers : {2,27,2,8}*1728, {2,108,2,2}*1728, {2,54,2,4}*1728, {2,54,4,2}*1728a, {4,54,2,2}*1728a, {2,3,2,72}*1728, {2,9,2,24}*1728, {2,3,6,24}*1728a, {6,9,2,8}*1728, {6,3,2,8}*1728, {2,9,6,8}*1728, {2,3,6,8}*1728a, {2,27,4,2}*1728, {4,27,2,2}*1728, {2,12,2,18}*1728, {2,12,18,2}*1728a, {2,18,2,12}*1728, {2,18,12,2}*1728a, {12,18,2,2}*1728a, {18,12,2,2}*1728a, {2,6,2,36}*1728, {2,6,36,2}*1728a, {2,36,2,6}*1728, {2,36,6,2}*1728a, {2,36,6,2}*1728b, {6,36,2,2}*1728a, {6,36,2,2}*1728b, {36,6,2,2}*1728a, {2,6,6,12}*1728a, {2,6,12,2}*1728b, {2,12,6,2}*1728a, {2,12,6,2}*1728b, {2,12,6,6}*1728a, {6,12,2,2}*1728a, {6,12,2,2}*1728b, {12,6,2,2}*1728b, {2,6,4,18}*1728, {2,6,18,4}*1728a, {2,18,4,6}*1728, {2,18,6,4}*1728a, {4,6,2,18}*1728a, {4,6,18,2}*1728a, {4,18,2,6}*1728a, {4,18,6,2}*1728a, {4,18,6,2}*1728b, {6,18,2,4}*1728a, {6,18,2,4}*1728b, {6,18,4,2}*1728a, {6,18,4,2}*1728b, {18,6,2,4}*1728a, {18,6,4,2}*1728a, {4,6,6,6}*1728a, {2,6,6,4}*1728b, {2,6,12,6}*1728a, {4,6,6,2}*1728a, {4,6,6,2}*1728b, {6,6,2,4}*1728a, {6,6,2,4}*1728b, {6,6,4,2}*1728a, {6,6,4,2}*1728b, {2,18,6,4}*1728b, {2,18,12,2}*1728b, {12,18,2,2}*1728b, {2,6,6,4}*1728c, {2,6,12,2}*1728c, {12,6,2,2}*1728c, {6,3,2,24}*1728, {2,3,6,24}*1728b, {6,3,6,8}*1728, {2,3,4,18}*1728, {2,9,6,2}*1728, {4,3,2,18}*1728, {6,9,2,2}*1728, {2,9,4,6}*1728, {2,9,12,2}*1728, {4,9,2,6}*1728, {4,9,6,2}*1728, {6,9,4,2}*1728, {12,9,2,2}*1728, {4,3,6,6}*1728a, {2,3,6,2}*1728, {2,3,12,2}*1728, {2,3,12,6}*1728a, {4,3,6,2}*1728, {6,3,2,2}*1728, {6,3,4,2}*1728, {12,3,2,2}*1728, {2,3,6,8}*1728b, {2,6,6,12}*1728b, {2,6,6,12}*1728c, {2,6,12,6}*1728b, {2,6,12,6}*1728d, {2,12,6,6}*1728b, {2,12,6,6}*1728c, {2,12,6,6}*1728d, {6,6,2,12}*1728a, {6,6,2,12}*1728b, {6,6,12,2}*1728b, {6,6,12,2}*1728d, {6,12,2,6}*1728a, {6,12,2,6}*1728b, {6,12,6,2}*1728b, {6,12,6,2}*1728c, {6,12,6,2}*1728d, {6,12,6,2}*1728e, {12,6,2,6}*1728a, {12,6,6,2}*1728b, {12,6,6,2}*1728c, {4,6,6,6}*1728d, {4,6,6,6}*1728e, {4,6,6,6}*1728f, {6,6,4,6}*1728a, {6,6,4,6}*1728b, {6,6,6,4}*1728d, {6,6,6,4}*1728f, {6,6,2,4}*1728d, {2,6,6,12}*1728e, {2,6,12,2}*1728g, {2,12,6,2}*1728g, {2,12,6,6}*1728e, {6,12,2,2}*1728g, {12,6,2,2}*1728g, {6,6,6,4}*1728g, {6,6,6,4}*1728h, {2,6,6,4}*1728h, {2,6,6,12}*1728f, {2,6,12,6}*1728f, {2,6,12,6}*1728g, {4,6,6,2}*1728h, {6,6,4,2}*1728h, {6,6,12,2}*1728f, {6,6,12,2}*1728g, {12,6,2,6}*1728c, {12,6,6,2}*1728f, {12,6,6,2}*1728g, {4,6,6,6}*1728i, {4,3,6,6}*1728b, {6,3,4,6}*1728, {2,3,6,6}*1728, {2,3,12,6}*1728b, {6,3,2,6}*1728, {6,3,6,2}*1728a, {6,3,6,2}*1728b, {6,3,12,2}*1728, {12,3,2,6}*1728, {12,3,6,2}*1728, {2,6,4,2}*1728b, {2,6,4,4}*1728b, {2,6,4,6}*1728a, {2,6,6,4}*1728j, {2,6,6,4}*1728k, {2,12,4,2}*1728b, {4,6,2,2}*1728b, {4,12,2,2}*1728b, {2,12,6,2}*1728i, {6,12,2,2}*1728i
37-fold covers : {2,3,2,74}*1776, {2,111,2,2}*1776
38-fold covers : {2,3,2,76}*1824, {2,57,2,4}*1824, {2,6,2,38}*1824, {2,6,38,2}*1824, {38,6,2,2}*1824, {2,114,2,2}*1824
39-fold covers : {2,9,2,26}*1872, {2,117,2,2}*1872, {2,3,6,26}*1872, {6,3,2,26}*1872, {2,3,2,78}*1872, {2,39,2,6}*1872, {2,39,6,2}*1872, {6,39,2,2}*1872
40-fold covers : {2,15,2,16}*1920, {2,3,2,80}*1920, {2,30,4,4}*1920, {2,60,4,2}*1920a, {4,60,2,2}*1920a, {10,6,4,4}*1920, {2,12,4,10}*1920, {4,12,2,10}*1920a, {4,12,10,2}*1920a, {10,12,4,2}*1920a, {2,6,4,20}*1920, {2,6,20,4}*1920, {2,12,20,2}*1920, {20,12,2,2}*1920, {4,30,2,4}*1920a, {4,30,4,2}*1920a, {2,60,2,4}*1920, {4,6,4,10}*1920a, {4,6,10,4}*1920a, {10,12,2,4}*1920, {4,6,2,20}*1920a, {20,6,2,4}*1920a, {2,12,10,4}*1920, {4,6,20,2}*1920a, {20,6,4,2}*1920a, {2,12,2,20}*1920, {2,30,2,8}*1920, {2,30,8,2}*1920, {8,30,2,2}*1920, {2,120,2,2}*1920, {2,6,8,10}*1920, {2,6,10,8}*1920, {8,6,2,10}*1920, {8,6,10,2}*1920, {10,6,2,8}*1920, {10,6,8,2}*1920, {2,24,2,10}*1920, {2,24,10,2}*1920, {10,24,2,2}*1920, {2,6,2,40}*1920, {2,6,40,2}*1920, {40,6,2,2}*1920, {2,3,4,20}*1920, {4,3,2,20}*1920, {2,3,8,10}*1920, {8,3,2,10}*1920, {2,15,4,4}*1920b, {4,15,2,4}*1920, {2,15,8,2}*1920, {8,15,2,2}*1920, {2,6,4,10}*1920, {2,6,20,2}*1920a, {4,6,2,10}*1920, {4,6,10,2}*1920a, {10,6,4,2}*1920a, {20,6,2,2}*1920a, {2,30,4,2}*1920, {4,30,2,2}*1920
41-fold covers : {2,3,2,82}*1968, {2,123,2,2}*1968
Permutation Representation (GAP) :
s0 := (1,2);;
s1 := (4,5);;
s2 := (3,4);;
s3 := (6,7);;
s4 := (8,9);;
poly := Group([s0,s1,s2,s3,s4]);;
Finitely Presented Group Representation (GAP) :
F := FreeGroup("s0","s1","s2","s3","s4");;
s0 := F.1;; s1 := F.2;; s2 := F.3;; s3 := F.4;; s4 := F.5;;
rels := [ s0*s0, s1*s1, s2*s2, s3*s3, s4*s4, s0*s1*s0*s1,
s0*s2*s0*s2, s0*s3*s0*s3, s1*s3*s1*s3,
s2*s3*s2*s3, s0*s4*s0*s4, s1*s4*s1*s4,
s2*s4*s2*s4, s3*s4*s3*s4, s1*s2*s1*s2*s1*s2 ];;
poly := F / rels;;
Permutation Representation (Magma) :
s0 := Sym(9)!(1,2);
s1 := Sym(9)!(4,5);
s2 := Sym(9)!(3,4);
s3 := Sym(9)!(6,7);
s4 := Sym(9)!(8,9);
poly := sub<Sym(9)|s0,s1,s2,s3,s4>;
Finitely Presented Group Representation (Magma) :
poly<s0,s1,s2,s3,s4> := Group< s0,s1,s2,s3,s4 | s0*s0, s1*s1, s2*s2,
s3*s3, s4*s4, s0*s1*s0*s1, s0*s2*s0*s2,
s0*s3*s0*s3, s1*s3*s1*s3, s2*s3*s2*s3,
s0*s4*s0*s4, s1*s4*s1*s4, s2*s4*s2*s4,
s3*s4*s3*s4, s1*s2*s1*s2*s1*s2 >;
to this polytope