Polytope of Type {2,4,2}
This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {2,4,2}*32
if this polytope has a name.
Group : SmallGroup(32,46)
Rank : 4
Schlafli Type : {2,4,2}
Number of vertices, edges, etc : 2, 4, 4, 2
Order of s0s1s2s3 : 4
Order of s0s1s2s3s2s1 : 2
Special Properties :
Degenerate
Universal
Orientable
Flat
Self-Dual
Related Polytopes :
Facet
Vertex Figure
Dual
Facet Of :
{2,4,2,2} of size 64
{2,4,2,3} of size 96
{2,4,2,4} of size 128
{2,4,2,5} of size 160
{2,4,2,6} of size 192
{2,4,2,7} of size 224
{2,4,2,8} of size 256
{2,4,2,9} of size 288
{2,4,2,10} of size 320
{2,4,2,11} of size 352
{2,4,2,12} of size 384
{2,4,2,13} of size 416
{2,4,2,14} of size 448
{2,4,2,15} of size 480
{2,4,2,16} of size 512
{2,4,2,17} of size 544
{2,4,2,18} of size 576
{2,4,2,19} of size 608
{2,4,2,20} of size 640
{2,4,2,21} of size 672
{2,4,2,22} of size 704
{2,4,2,23} of size 736
{2,4,2,24} of size 768
{2,4,2,25} of size 800
{2,4,2,26} of size 832
{2,4,2,27} of size 864
{2,4,2,28} of size 896
{2,4,2,29} of size 928
{2,4,2,30} of size 960
{2,4,2,31} of size 992
{2,4,2,33} of size 1056
{2,4,2,34} of size 1088
{2,4,2,35} of size 1120
{2,4,2,36} of size 1152
{2,4,2,37} of size 1184
{2,4,2,38} of size 1216
{2,4,2,39} of size 1248
{2,4,2,40} of size 1280
{2,4,2,41} of size 1312
{2,4,2,42} of size 1344
{2,4,2,43} of size 1376
{2,4,2,44} of size 1408
{2,4,2,45} of size 1440
{2,4,2,46} of size 1472
{2,4,2,47} of size 1504
{2,4,2,49} of size 1568
{2,4,2,50} of size 1600
{2,4,2,51} of size 1632
{2,4,2,52} of size 1664
{2,4,2,53} of size 1696
{2,4,2,54} of size 1728
{2,4,2,55} of size 1760
{2,4,2,56} of size 1792
{2,4,2,57} of size 1824
{2,4,2,58} of size 1856
{2,4,2,59} of size 1888
{2,4,2,60} of size 1920
{2,4,2,61} of size 1952
{2,4,2,62} of size 1984
Vertex Figure Of :
{2,2,4,2} of size 64
{3,2,4,2} of size 96
{4,2,4,2} of size 128
{5,2,4,2} of size 160
{6,2,4,2} of size 192
{7,2,4,2} of size 224
{8,2,4,2} of size 256
{9,2,4,2} of size 288
{10,2,4,2} of size 320
{11,2,4,2} of size 352
{12,2,4,2} of size 384
{13,2,4,2} of size 416
{14,2,4,2} of size 448
{15,2,4,2} of size 480
{16,2,4,2} of size 512
{17,2,4,2} of size 544
{18,2,4,2} of size 576
{19,2,4,2} of size 608
{20,2,4,2} of size 640
{21,2,4,2} of size 672
{22,2,4,2} of size 704
{23,2,4,2} of size 736
{24,2,4,2} of size 768
{25,2,4,2} of size 800
{26,2,4,2} of size 832
{27,2,4,2} of size 864
{28,2,4,2} of size 896
{29,2,4,2} of size 928
{30,2,4,2} of size 960
{31,2,4,2} of size 992
{33,2,4,2} of size 1056
{34,2,4,2} of size 1088
{35,2,4,2} of size 1120
{36,2,4,2} of size 1152
{37,2,4,2} of size 1184
{38,2,4,2} of size 1216
{39,2,4,2} of size 1248
{40,2,4,2} of size 1280
{41,2,4,2} of size 1312
{42,2,4,2} of size 1344
{43,2,4,2} of size 1376
{44,2,4,2} of size 1408
{45,2,4,2} of size 1440
{46,2,4,2} of size 1472
{47,2,4,2} of size 1504
{49,2,4,2} of size 1568
{50,2,4,2} of size 1600
{51,2,4,2} of size 1632
{52,2,4,2} of size 1664
{53,2,4,2} of size 1696
{54,2,4,2} of size 1728
{55,2,4,2} of size 1760
{56,2,4,2} of size 1792
{57,2,4,2} of size 1824
{58,2,4,2} of size 1856
{59,2,4,2} of size 1888
{60,2,4,2} of size 1920
{61,2,4,2} of size 1952
{62,2,4,2} of size 1984
Quotients (Maximal Quotients in Boldface) :
2-fold quotients : {2,2,2}*16
Covers (Minimal Covers in Boldface) :
2-fold covers : {2,4,4}*64, {4,4,2}*64, {2,8,2}*64
3-fold covers : {2,12,2}*96, {2,4,6}*96a, {6,4,2}*96a
4-fold covers : {4,4,4}*128, {2,4,8}*128a, {2,8,4}*128a, {4,8,2}*128a, {8,4,2}*128a, {2,4,8}*128b, {2,8,4}*128b, {4,8,2}*128b, {8,4,2}*128b, {2,4,4}*128, {4,4,2}*128, {2,16,2}*128
5-fold covers : {2,20,2}*160, {2,4,10}*160, {10,4,2}*160
6-fold covers : {2,4,12}*192a, {2,12,4}*192a, {4,12,2}*192a, {12,4,2}*192a, {4,4,6}*192, {6,4,4}*192, {2,24,2}*192, {2,8,6}*192, {6,8,2}*192
7-fold covers : {2,28,2}*224, {2,4,14}*224, {14,4,2}*224
8-fold covers : {2,4,8}*256a, {2,8,4}*256a, {4,8,2}*256a, {8,4,2}*256a, {2,8,8}*256a, {2,8,8}*256b, {2,8,8}*256c, {8,8,2}*256a, {8,8,2}*256b, {8,8,2}*256c, {2,8,8}*256d, {8,8,2}*256d, {4,4,8}*256a, {8,4,4}*256a, {4,4,8}*256b, {8,4,4}*256b, {4,8,4}*256a, {4,4,4}*256a, {4,4,4}*256b, {4,8,4}*256b, {4,8,4}*256c, {4,8,4}*256d, {2,4,16}*256a, {2,16,4}*256a, {4,16,2}*256a, {16,4,2}*256a, {2,4,16}*256b, {2,16,4}*256b, {4,16,2}*256b, {16,4,2}*256b, {2,4,4}*256, {2,4,8}*256b, {2,8,4}*256b, {4,4,2}*256, {4,8,2}*256b, {8,4,2}*256b, {2,32,2}*256
9-fold covers : {2,36,2}*288, {2,4,18}*288a, {18,4,2}*288a, {2,12,6}*288a, {2,12,6}*288b, {6,12,2}*288a, {6,12,2}*288b, {6,4,6}*288, {2,12,6}*288c, {6,12,2}*288c, {2,4,6}*288, {6,4,2}*288
10-fold covers : {2,4,20}*320, {2,20,4}*320, {4,20,2}*320, {20,4,2}*320, {4,4,10}*320, {10,4,4}*320, {2,40,2}*320, {2,8,10}*320, {10,8,2}*320
11-fold covers : {2,44,2}*352, {2,4,22}*352, {22,4,2}*352
12-fold covers : {4,12,4}*384a, {4,4,12}*384, {12,4,4}*384, {2,4,24}*384a, {2,24,4}*384a, {4,24,2}*384a, {24,4,2}*384a, {2,4,12}*384a, {2,12,4}*384a, {4,12,2}*384a, {12,4,2}*384a, {2,4,24}*384b, {2,24,4}*384b, {4,24,2}*384b, {24,4,2}*384b, {2,8,12}*384a, {2,12,8}*384a, {8,12,2}*384a, {12,8,2}*384a, {2,8,12}*384b, {2,12,8}*384b, {8,12,2}*384b, {12,8,2}*384b, {4,8,6}*384a, {6,4,8}*384a, {6,8,4}*384a, {8,4,6}*384a, {4,8,6}*384b, {6,4,8}*384b, {6,8,4}*384b, {8,4,6}*384b, {4,4,6}*384a, {6,4,4}*384a, {2,48,2}*384, {2,16,6}*384, {6,16,2}*384, {2,12,4}*384b, {4,12,2}*384b, {2,4,6}*384b, {2,12,6}*384a, {6,4,2}*384b, {6,12,2}*384a
13-fold covers : {2,52,2}*416, {2,4,26}*416, {26,4,2}*416
14-fold covers : {2,4,28}*448, {2,28,4}*448, {4,28,2}*448, {28,4,2}*448, {4,4,14}*448, {14,4,4}*448, {2,56,2}*448, {2,8,14}*448, {14,8,2}*448
15-fold covers : {2,12,10}*480, {10,12,2}*480, {2,20,6}*480a, {6,20,2}*480a, {6,4,10}*480, {10,4,6}*480, {2,60,2}*480, {2,4,30}*480a, {30,4,2}*480a
16-fold covers : {2,8,8}*512a, {8,8,2}*512a, {8,4,8}*512a, {8,4,8}*512b, {4,4,4}*512a, {4,8,8}*512a, {8,8,4}*512a, {4,8,8}*512b, {8,8,4}*512b, {4,4,8}*512a, {8,4,4}*512a, {4,8,8}*512c, {8,8,4}*512c, {4,8,8}*512d, {8,8,4}*512d, {4,8,8}*512e, {4,8,8}*512f, {8,8,4}*512e, {8,8,4}*512f, {4,8,8}*512g, {8,8,4}*512g, {4,8,8}*512h, {8,8,4}*512h, {4,4,8}*512b, {8,4,4}*512b, {4,4,8}*512c, {8,4,4}*512c, {4,8,4}*512a, {4,8,4}*512b, {4,8,4}*512c, {4,8,4}*512d, {8,4,8}*512c, {8,4,8}*512d, {2,4,8}*512a, {2,8,4}*512a, {2,8,8}*512b, {4,8,2}*512a, {8,4,2}*512a, {8,8,2}*512b, {2,8,8}*512c, {2,8,8}*512d, {8,8,2}*512c, {8,8,2}*512d, {2,4,16}*512a, {2,16,4}*512a, {4,16,2}*512a, {16,4,2}*512a, {2,4,16}*512b, {2,16,4}*512b, {4,16,2}*512b, {16,4,2}*512b, {2,8,16}*512a, {2,16,8}*512a, {8,16,2}*512a, {16,8,2}*512a, {2,8,16}*512b, {2,16,8}*512b, {8,16,2}*512b, {16,8,2}*512b, {2,8,16}*512c, {2,8,16}*512d, {2,16,8}*512c, {2,16,8}*512d, {8,16,2}*512c, {8,16,2}*512d, {16,8,2}*512c, {16,8,2}*512d, {2,8,16}*512e, {2,8,16}*512f, {2,16,8}*512e, {2,16,8}*512f, {8,16,2}*512e, {8,16,2}*512f, {16,8,2}*512e, {16,8,2}*512f, {4,4,16}*512a, {16,4,4}*512a, {4,4,16}*512b, {16,4,4}*512b, {4,4,4}*512b, {4,4,4}*512c, {4,8,4}*512e, {4,8,4}*512f, {4,8,4}*512g, {4,8,4}*512h, {4,4,8}*512d, {8,4,4}*512d, {4,16,4}*512a, {4,16,4}*512b, {4,16,4}*512c, {4,16,4}*512d, {2,4,32}*512a, {2,32,4}*512a, {4,32,2}*512a, {32,4,2}*512a, {2,4,32}*512b, {2,32,4}*512b, {4,32,2}*512b, {32,4,2}*512b, {2,4,4}*512, {2,4,8}*512b, {2,8,4}*512b, {4,4,2}*512, {4,8,2}*512b, {8,4,2}*512b, {2,4,8}*512c, {2,4,8}*512d, {2,8,4}*512c, {2,8,4}*512d, {2,8,8}*512e, {2,8,8}*512f, {4,8,2}*512c, {4,8,2}*512d, {8,4,2}*512c, {8,4,2}*512d, {8,8,2}*512e, {8,8,2}*512f, {2,8,8}*512g, {2,8,8}*512h, {8,8,2}*512g, {8,8,2}*512h, {2,64,2}*512
17-fold covers : {2,68,2}*544, {2,4,34}*544, {34,4,2}*544
18-fold covers : {2,4,36}*576a, {2,36,4}*576a, {4,36,2}*576a, {36,4,2}*576a, {4,4,18}*576, {18,4,4}*576, {2,72,2}*576, {2,8,18}*576, {18,8,2}*576, {4,12,6}*576a, {4,12,6}*576b, {6,4,12}*576, {6,12,4}*576a, {6,12,4}*576b, {12,4,6}*576, {2,24,6}*576a, {2,24,6}*576b, {6,24,2}*576a, {6,24,2}*576b, {6,8,6}*576, {2,12,12}*576a, {2,12,12}*576b, {2,12,12}*576c, {12,12,2}*576a, {12,12,2}*576b, {12,12,2}*576c, {2,24,6}*576c, {6,24,2}*576c, {4,12,6}*576c, {6,12,4}*576c, {2,8,6}*576, {6,8,2}*576, {4,4,6}*576, {2,4,4}*576, {6,4,4}*576, {2,4,12}*576, {2,12,4}*576, {4,4,2}*576, {4,12,2}*576, {12,4,2}*576
19-fold covers : {2,76,2}*608, {2,4,38}*608, {38,4,2}*608
20-fold covers : {4,20,4}*640, {4,4,20}*640, {20,4,4}*640, {2,4,40}*640a, {2,40,4}*640a, {4,40,2}*640a, {40,4,2}*640a, {2,4,20}*640, {2,20,4}*640, {4,20,2}*640, {20,4,2}*640, {2,4,40}*640b, {2,40,4}*640b, {4,40,2}*640b, {40,4,2}*640b, {2,8,20}*640a, {2,20,8}*640a, {8,20,2}*640a, {20,8,2}*640a, {2,8,20}*640b, {2,20,8}*640b, {8,20,2}*640b, {20,8,2}*640b, {4,8,10}*640a, {8,4,10}*640a, {10,4,8}*640a, {10,8,4}*640a, {4,8,10}*640b, {8,4,10}*640b, {10,4,8}*640b, {10,8,4}*640b, {4,4,10}*640, {10,4,4}*640, {2,80,2}*640, {2,16,10}*640, {10,16,2}*640
21-fold covers : {2,12,14}*672, {14,12,2}*672, {2,28,6}*672a, {6,28,2}*672a, {6,4,14}*672, {14,4,6}*672, {2,84,2}*672, {2,4,42}*672a, {42,4,2}*672a
22-fold covers : {2,4,44}*704, {2,44,4}*704, {4,44,2}*704, {44,4,2}*704, {4,4,22}*704, {22,4,4}*704, {2,88,2}*704, {2,8,22}*704, {22,8,2}*704
23-fold covers : {2,92,2}*736, {2,4,46}*736, {46,4,2}*736
24-fold covers : {4,8,6}*768a, {6,4,8}*768a, {6,8,4}*768a, {8,4,6}*768a, {2,8,12}*768a, {2,12,8}*768a, {8,12,2}*768a, {12,8,2}*768a, {2,4,24}*768a, {2,24,4}*768a, {4,24,2}*768a, {24,4,2}*768a, {6,8,8}*768a, {6,8,8}*768b, {6,8,8}*768c, {8,8,6}*768a, {8,8,6}*768b, {8,8,6}*768c, {2,8,24}*768a, {2,24,8}*768a, {8,24,2}*768a, {24,8,2}*768a, {2,8,24}*768b, {2,8,24}*768c, {2,24,8}*768b, {2,24,8}*768c, {8,24,2}*768b, {8,24,2}*768c, {24,8,2}*768b, {24,8,2}*768c, {6,8,8}*768d, {8,8,6}*768d, {2,8,24}*768d, {2,24,8}*768d, {8,24,2}*768d, {24,8,2}*768d, {8,4,12}*768a, {12,4,8}*768a, {4,12,8}*768a, {8,12,4}*768a, {4,4,24}*768a, {24,4,4}*768a, {8,4,12}*768b, {12,4,8}*768b, {4,12,8}*768b, {8,12,4}*768b, {4,4,24}*768b, {24,4,4}*768b, {4,8,12}*768a, {12,8,4}*768a, {4,24,4}*768a, {4,4,12}*768a, {12,4,4}*768a, {4,12,4}*768a, {4,12,4}*768b, {4,4,12}*768b, {12,4,4}*768b, {4,8,12}*768b, {12,8,4}*768b, {4,24,4}*768b, {4,24,4}*768c, {4,8,12}*768c, {12,8,4}*768c, {4,8,12}*768d, {12,8,4}*768d, {4,24,4}*768d, {4,16,6}*768a, {6,4,16}*768a, {6,16,4}*768a, {16,4,6}*768a, {2,12,16}*768a, {2,16,12}*768a, {12,16,2}*768a, {16,12,2}*768a, {2,4,48}*768a, {2,48,4}*768a, {4,48,2}*768a, {48,4,2}*768a, {4,16,6}*768b, {6,4,16}*768b, {6,16,4}*768b, {16,4,6}*768b, {2,12,16}*768b, {2,16,12}*768b, {12,16,2}*768b, {16,12,2}*768b, {2,4,48}*768b, {2,48,4}*768b, {4,48,2}*768b, {48,4,2}*768b, {4,4,6}*768a, {4,8,6}*768b, {6,4,4}*768a, {6,4,8}*768b, {6,8,4}*768b, {8,4,6}*768b, {2,4,12}*768a, {2,4,24}*768b, {2,12,4}*768a, {2,24,4}*768b, {4,12,2}*768a, {4,24,2}*768b, {12,4,2}*768a, {24,4,2}*768b, {2,8,12}*768b, {2,12,8}*768b, {8,12,2}*768b, {12,8,2}*768b, {2,32,6}*768, {6,32,2}*768, {2,96,2}*768, {4,12,4}*768e, {2,4,12}*768d, {4,12,4}*768f, {2,12,4}*768d, {2,12,12}*768a, {4,12,2}*768d, {12,4,2}*768d, {12,12,2}*768a, {4,4,6}*768e, {4,12,6}*768a, {6,4,4}*768e, {6,12,4}*768a, {2,12,8}*768e, {8,12,2}*768e, {2,12,8}*768f, {8,12,2}*768f, {2,24,4}*768c, {4,24,2}*768c, {2,24,4}*768d, {4,24,2}*768d, {2,8,6}*768f, {2,12,6}*768, {6,8,2}*768f, {6,12,2}*768, {2,12,12}*768d, {12,12,2}*768c, {2,8,6}*768g, {2,24,6}*768a, {6,8,2}*768g, {6,24,2}*768a, {2,4,6}*768b, {2,24,6}*768b, {6,4,2}*768b, {6,24,2}*768b, {2,4,12}*768e, {12,4,2}*768e
25-fold covers : {2,100,2}*800, {2,4,50}*800, {50,4,2}*800, {2,20,10}*800a, {2,20,10}*800b, {10,20,2}*800a, {10,20,2}*800b, {10,4,10}*800, {2,20,10}*800c, {10,20,2}*800c, {2,4,10}*800, {10,4,2}*800
26-fold covers : {2,4,52}*832, {2,52,4}*832, {4,52,2}*832, {52,4,2}*832, {4,4,26}*832, {26,4,4}*832, {2,104,2}*832, {2,8,26}*832, {26,8,2}*832
27-fold covers : {2,108,2}*864, {2,4,54}*864a, {54,4,2}*864a, {2,36,6}*864a, {2,36,6}*864b, {6,36,2}*864a, {6,36,2}*864b, {2,12,18}*864a, {18,12,2}*864a, {2,12,6}*864a, {2,12,6}*864b, {6,12,2}*864a, {6,12,2}*864b, {6,4,18}*864, {18,4,6}*864, {6,12,6}*864a, {2,12,18}*864b, {18,12,2}*864b, {2,12,6}*864c, {6,12,2}*864c, {2,4,6}*864a, {2,12,6}*864e, {2,12,6}*864f, {6,4,2}*864a, {6,12,2}*864e, {6,12,2}*864f, {6,12,6}*864b, {6,12,6}*864c, {6,12,6}*864d, {6,12,6}*864e, {2,12,6}*864g, {6,12,2}*864g, {6,12,6}*864f, {6,12,6}*864g, {6,4,6}*864a, {6,4,6}*864b, {2,4,6}*864b, {2,12,6}*864h, {6,4,2}*864b, {6,12,2}*864h, {2,12,6}*864i, {6,12,2}*864i
28-fold covers : {4,28,4}*896, {4,4,28}*896, {28,4,4}*896, {2,4,56}*896a, {2,56,4}*896a, {4,56,2}*896a, {56,4,2}*896a, {2,4,28}*896, {2,28,4}*896, {4,28,2}*896, {28,4,2}*896, {2,4,56}*896b, {2,56,4}*896b, {4,56,2}*896b, {56,4,2}*896b, {2,8,28}*896a, {2,28,8}*896a, {8,28,2}*896a, {28,8,2}*896a, {2,8,28}*896b, {2,28,8}*896b, {8,28,2}*896b, {28,8,2}*896b, {4,8,14}*896a, {8,4,14}*896a, {14,4,8}*896a, {14,8,4}*896a, {4,8,14}*896b, {8,4,14}*896b, {14,4,8}*896b, {14,8,4}*896b, {4,4,14}*896, {14,4,4}*896, {2,112,2}*896, {2,16,14}*896, {14,16,2}*896
29-fold covers : {2,116,2}*928, {2,4,58}*928, {58,4,2}*928
30-fold covers : {4,12,10}*960a, {10,4,12}*960, {10,12,4}*960a, {12,4,10}*960, {4,20,6}*960, {6,4,20}*960, {6,20,4}*960, {20,4,6}*960, {2,24,10}*960, {10,24,2}*960, {2,40,6}*960, {6,40,2}*960, {6,8,10}*960, {10,8,6}*960, {2,12,20}*960, {2,20,12}*960, {12,20,2}*960, {20,12,2}*960, {2,4,60}*960a, {2,60,4}*960a, {4,60,2}*960a, {60,4,2}*960a, {4,4,30}*960, {30,4,4}*960, {2,120,2}*960, {2,8,30}*960, {30,8,2}*960
31-fold covers : {2,124,2}*992, {2,4,62}*992, {62,4,2}*992
33-fold covers : {2,12,22}*1056, {22,12,2}*1056, {2,44,6}*1056a, {6,44,2}*1056a, {6,4,22}*1056, {22,4,6}*1056, {2,132,2}*1056, {2,4,66}*1056a, {66,4,2}*1056a
34-fold covers : {4,4,34}*1088, {34,4,4}*1088, {2,4,68}*1088, {2,68,4}*1088, {4,68,2}*1088, {68,4,2}*1088, {2,8,34}*1088, {34,8,2}*1088, {2,136,2}*1088
35-fold covers : {2,20,14}*1120, {14,20,2}*1120, {2,28,10}*1120, {10,28,2}*1120, {10,4,14}*1120, {14,4,10}*1120, {2,140,2}*1120, {2,4,70}*1120, {70,4,2}*1120
36-fold covers : {4,4,36}*1152, {36,4,4}*1152, {4,36,4}*1152a, {4,12,12}*1152a, {4,12,12}*1152b, {12,12,4}*1152a, {12,12,4}*1152b, {4,12,12}*1152c, {12,12,4}*1152c, {12,4,12}*1152, {4,4,4}*1152a, {4,4,4}*1152b, {4,12,4}*1152a, {4,12,4}*1152b, {4,4,12}*1152, {12,4,4}*1152, {4,8,18}*1152a, {8,4,18}*1152a, {18,4,8}*1152a, {18,8,4}*1152a, {2,8,36}*1152a, {2,36,8}*1152a, {8,36,2}*1152a, {36,8,2}*1152a, {2,4,72}*1152a, {2,72,4}*1152a, {4,72,2}*1152a, {72,4,2}*1152a, {6,8,12}*1152a, {6,12,8}*1152a, {6,12,8}*1152b, {8,12,6}*1152a, {8,12,6}*1152b, {12,8,6}*1152a, {4,24,6}*1152a, {6,12,8}*1152c, {6,24,4}*1152a, {8,12,6}*1152c, {4,24,6}*1152b, {4,24,6}*1152c, {6,4,24}*1152a, {6,24,4}*1152b, {6,24,4}*1152c, {24,4,6}*1152a, {2,12,24}*1152a, {2,12,24}*1152b, {2,24,12}*1152a, {2,24,12}*1152b, {12,24,2}*1152a, {12,24,2}*1152b, {24,12,2}*1152a, {24,12,2}*1152b, {2,12,24}*1152c, {2,24,12}*1152c, {12,24,2}*1152c, {24,12,2}*1152c, {6,4,8}*1152a, {2,4,8}*1152a, {8,4,6}*1152a, {2,4,24}*1152a, {2,8,4}*1152a, {2,24,4}*1152a, {4,8,2}*1152a, {4,24,2}*1152a, {8,4,2}*1152a, {24,4,2}*1152a, {2,8,12}*1152a, {2,12,8}*1152a, {8,12,2}*1152a, {12,8,2}*1152a, {4,8,6}*1152a, {6,8,4}*1152a, {4,8,18}*1152b, {8,4,18}*1152b, {18,4,8}*1152b, {18,8,4}*1152b, {2,8,36}*1152b, {2,36,8}*1152b, {8,36,2}*1152b, {36,8,2}*1152b, {2,4,72}*1152b, {2,72,4}*1152b, {4,72,2}*1152b, {72,4,2}*1152b, {6,8,12}*1152b, {6,12,8}*1152d, {6,12,8}*1152e, {8,12,6}*1152d, {8,12,6}*1152e, {12,8,6}*1152b, {4,24,6}*1152d, {6,12,8}*1152f, {6,24,4}*1152d, {8,12,6}*1152f, {4,24,6}*1152e, {4,24,6}*1152f, {6,4,24}*1152b, {6,24,4}*1152e, {6,24,4}*1152f, {24,4,6}*1152b, {2,12,24}*1152d, {2,12,24}*1152e, {2,24,12}*1152d, {2,24,12}*1152e, {12,24,2}*1152d, {12,24,2}*1152e, {24,12,2}*1152d, {24,12,2}*1152e, {2,12,24}*1152f, {2,24,12}*1152f, {12,24,2}*1152f, {24,12,2}*1152f, {2,4,8}*1152b, {2,4,24}*1152b, {2,8,4}*1152b, {2,24,4}*1152b, {4,8,2}*1152b, {4,24,2}*1152b, {8,4,2}*1152b, {24,4,2}*1152b, {6,4,8}*1152b, {8,4,6}*1152b, {2,8,12}*1152b, {2,12,8}*1152b, {8,12,2}*1152b, {12,8,2}*1152b, {4,8,6}*1152b, {6,8,4}*1152b, {4,4,18}*1152a, {18,4,4}*1152a, {2,4,36}*1152a, {2,36,4}*1152a, {4,36,2}*1152a, {36,4,2}*1152a, {4,12,6}*1152a, {4,12,6}*1152b, {6,4,12}*1152a, {6,12,4}*1152a, {6,12,4}*1152b, {12,4,6}*1152a, {4,12,6}*1152c, {6,12,4}*1152c, {2,12,12}*1152a, {2,12,12}*1152b, {2,12,12}*1152c, {12,12,2}*1152a, {12,12,2}*1152b, {12,12,2}*1152c, {2,4,4}*1152, {2,4,12}*1152, {2,12,4}*1152, {4,4,2}*1152, {4,12,2}*1152, {12,4,2}*1152, {4,4,6}*1152a, {6,4,4}*1152a, {2,16,18}*1152, {18,16,2}*1152, {2,144,2}*1152, {6,16,6}*1152, {2,48,6}*1152a, {6,48,2}*1152a, {2,48,6}*1152b, {2,48,6}*1152c, {6,48,2}*1152b, {6,48,2}*1152c, {2,16,6}*1152, {6,16,2}*1152, {2,36,4}*1152b, {4,36,2}*1152b, {2,4,18}*1152b, {18,4,2}*1152b, {4,12,6}*1152e, {4,12,6}*1152f, {6,12,4}*1152e, {6,12,4}*1152f, {2,12,12}*1152d, {2,12,12}*1152e, {12,12,2}*1152f, {12,12,2}*1152g, {2,12,6}*1152a, {2,12,6}*1152b, {6,12,2}*1152a, {6,12,2}*1152b, {6,4,6}*1152a, {6,4,6}*1152b, {6,12,6}*1152a, {6,12,6}*1152b, {2,12,6}*1152e, {2,12,6}*1152f, {6,12,2}*1152e, {6,12,2}*1152f
37-fold covers : {2,4,74}*1184, {74,4,2}*1184, {2,148,2}*1184
38-fold covers : {4,4,38}*1216, {38,4,4}*1216, {2,4,76}*1216, {2,76,4}*1216, {4,76,2}*1216, {76,4,2}*1216, {2,8,38}*1216, {38,8,2}*1216, {2,152,2}*1216
39-fold covers : {2,12,26}*1248, {26,12,2}*1248, {2,52,6}*1248a, {6,52,2}*1248a, {6,4,26}*1248, {26,4,6}*1248, {2,156,2}*1248, {2,4,78}*1248a, {78,4,2}*1248a
40-fold covers : {4,8,10}*1280a, {8,4,10}*1280a, {10,4,8}*1280a, {10,8,4}*1280a, {2,8,20}*1280a, {2,20,8}*1280a, {8,20,2}*1280a, {20,8,2}*1280a, {2,4,40}*1280a, {2,40,4}*1280a, {4,40,2}*1280a, {40,4,2}*1280a, {8,8,10}*1280a, {8,8,10}*1280b, {8,8,10}*1280c, {10,8,8}*1280a, {10,8,8}*1280b, {10,8,8}*1280c, {2,8,40}*1280a, {2,40,8}*1280a, {8,40,2}*1280a, {40,8,2}*1280a, {2,8,40}*1280b, {2,8,40}*1280c, {2,40,8}*1280b, {2,40,8}*1280c, {8,40,2}*1280b, {8,40,2}*1280c, {40,8,2}*1280b, {40,8,2}*1280c, {8,8,10}*1280d, {10,8,8}*1280d, {2,8,40}*1280d, {2,40,8}*1280d, {8,40,2}*1280d, {40,8,2}*1280d, {8,4,20}*1280a, {20,4,8}*1280a, {4,20,8}*1280a, {8,20,4}*1280a, {4,4,40}*1280a, {40,4,4}*1280a, {8,4,20}*1280b, {20,4,8}*1280b, {4,20,8}*1280b, {8,20,4}*1280b, {4,4,40}*1280b, {40,4,4}*1280b, {4,8,20}*1280a, {20,8,4}*1280a, {4,40,4}*1280a, {4,4,20}*1280a, {20,4,4}*1280a, {4,20,4}*1280a, {4,20,4}*1280b, {4,4,20}*1280b, {20,4,4}*1280b, {4,8,20}*1280b, {20,8,4}*1280b, {4,40,4}*1280b, {4,40,4}*1280c, {4,8,20}*1280c, {20,8,4}*1280c, {4,8,20}*1280d, {20,8,4}*1280d, {4,40,4}*1280d, {4,16,10}*1280a, {10,4,16}*1280a, {10,16,4}*1280a, {16,4,10}*1280a, {2,16,20}*1280a, {2,20,16}*1280a, {16,20,2}*1280a, {20,16,2}*1280a, {2,4,80}*1280a, {2,80,4}*1280a, {4,80,2}*1280a, {80,4,2}*1280a, {4,16,10}*1280b, {10,4,16}*1280b, {10,16,4}*1280b, {16,4,10}*1280b, {2,16,20}*1280b, {2,20,16}*1280b, {16,20,2}*1280b, {20,16,2}*1280b, {2,4,80}*1280b, {2,80,4}*1280b, {4,80,2}*1280b, {80,4,2}*1280b, {4,4,10}*1280, {4,8,10}*1280b, {8,4,10}*1280b, {10,4,4}*1280, {10,4,8}*1280b, {10,8,4}*1280b, {2,4,20}*1280a, {2,4,40}*1280b, {2,20,4}*1280a, {2,40,4}*1280b, {4,20,2}*1280a, {4,40,2}*1280b, {20,4,2}*1280a, {40,4,2}*1280b, {2,8,20}*1280b, {2,20,8}*1280b, {8,20,2}*1280b, {20,8,2}*1280b, {2,32,10}*1280, {10,32,2}*1280, {2,160,2}*1280
41-fold covers : {2,4,82}*1312, {82,4,2}*1312, {2,164,2}*1312
42-fold covers : {4,12,14}*1344a, {12,4,14}*1344, {14,4,12}*1344, {14,12,4}*1344a, {4,28,6}*1344, {6,4,28}*1344, {6,28,4}*1344, {28,4,6}*1344, {2,24,14}*1344, {14,24,2}*1344, {2,56,6}*1344, {6,56,2}*1344, {6,8,14}*1344, {14,8,6}*1344, {2,12,28}*1344, {2,28,12}*1344, {12,28,2}*1344, {28,12,2}*1344, {2,4,84}*1344a, {2,84,4}*1344a, {4,84,2}*1344a, {84,4,2}*1344a, {4,4,42}*1344, {42,4,4}*1344, {2,168,2}*1344, {2,8,42}*1344, {42,8,2}*1344
43-fold covers : {2,4,86}*1376, {86,4,2}*1376, {2,172,2}*1376
44-fold covers : {4,4,44}*1408, {44,4,4}*1408, {4,44,4}*1408, {4,8,22}*1408a, {8,4,22}*1408a, {22,4,8}*1408a, {22,8,4}*1408a, {2,8,44}*1408a, {2,44,8}*1408a, {8,44,2}*1408a, {44,8,2}*1408a, {2,4,88}*1408a, {2,88,4}*1408a, {4,88,2}*1408a, {88,4,2}*1408a, {4,8,22}*1408b, {8,4,22}*1408b, {22,4,8}*1408b, {22,8,4}*1408b, {2,8,44}*1408b, {2,44,8}*1408b, {8,44,2}*1408b, {44,8,2}*1408b, {2,4,88}*1408b, {2,88,4}*1408b, {4,88,2}*1408b, {88,4,2}*1408b, {4,4,22}*1408, {22,4,4}*1408, {2,4,44}*1408, {2,44,4}*1408, {4,44,2}*1408, {44,4,2}*1408, {2,16,22}*1408, {22,16,2}*1408, {2,176,2}*1408
45-fold covers : {2,36,10}*1440, {10,36,2}*1440, {2,20,18}*1440a, {18,20,2}*1440a, {10,4,18}*1440, {18,4,10}*1440, {2,180,2}*1440, {2,4,90}*1440a, {90,4,2}*1440a, {6,12,10}*1440a, {6,12,10}*1440b, {10,12,6}*1440a, {10,12,6}*1440b, {6,20,6}*1440, {2,60,6}*1440a, {6,60,2}*1440a, {2,12,30}*1440a, {30,12,2}*1440a, {6,12,10}*1440c, {10,12,6}*1440c, {2,12,30}*1440b, {30,12,2}*1440b, {2,60,6}*1440b, {2,60,6}*1440c, {6,60,2}*1440b, {6,60,2}*1440c, {6,4,30}*1440, {30,4,6}*1440, {2,12,30}*1440c, {30,12,2}*1440c, {6,4,10}*1440c, {2,4,30}*1440, {10,4,6}*1440c, {30,4,2}*1440, {2,20,6}*1440, {6,20,2}*1440
46-fold covers : {4,4,46}*1472, {46,4,4}*1472, {2,4,92}*1472, {2,92,4}*1472, {4,92,2}*1472, {92,4,2}*1472, {2,8,46}*1472, {46,8,2}*1472, {2,184,2}*1472
47-fold covers : {2,4,94}*1504, {94,4,2}*1504, {2,188,2}*1504
49-fold covers : {2,196,2}*1568, {2,4,98}*1568, {98,4,2}*1568, {2,28,14}*1568a, {2,28,14}*1568b, {14,28,2}*1568a, {14,28,2}*1568b, {14,4,14}*1568, {2,28,14}*1568c, {14,28,2}*1568c, {2,4,14}*1568, {14,4,2}*1568
50-fold covers : {2,4,100}*1600, {2,100,4}*1600, {4,100,2}*1600, {100,4,2}*1600, {4,4,50}*1600, {50,4,4}*1600, {2,200,2}*1600, {2,8,50}*1600, {50,8,2}*1600, {4,20,10}*1600a, {4,20,10}*1600b, {10,4,20}*1600, {10,20,4}*1600a, {10,20,4}*1600b, {20,4,10}*1600, {2,40,10}*1600a, {2,40,10}*1600b, {10,40,2}*1600a, {10,40,2}*1600b, {10,8,10}*1600, {2,20,20}*1600a, {2,20,20}*1600b, {2,20,20}*1600c, {20,20,2}*1600a, {20,20,2}*1600b, {20,20,2}*1600c, {2,40,10}*1600c, {10,40,2}*1600c, {4,20,10}*1600c, {10,20,4}*1600c, {2,8,10}*1600, {10,8,2}*1600, {4,4,10}*1600, {2,4,4}*1600, {10,4,4}*1600, {2,4,20}*1600, {2,20,4}*1600, {4,4,2}*1600, {4,20,2}*1600, {20,4,2}*1600
51-fold covers : {2,12,34}*1632, {34,12,2}*1632, {2,68,6}*1632a, {6,68,2}*1632a, {6,4,34}*1632, {34,4,6}*1632, {2,204,2}*1632, {2,4,102}*1632a, {102,4,2}*1632a
52-fold covers : {4,4,52}*1664, {52,4,4}*1664, {4,52,4}*1664, {4,8,26}*1664a, {8,4,26}*1664a, {26,4,8}*1664a, {26,8,4}*1664a, {2,8,52}*1664a, {2,52,8}*1664a, {8,52,2}*1664a, {52,8,2}*1664a, {2,4,104}*1664a, {2,104,4}*1664a, {4,104,2}*1664a, {104,4,2}*1664a, {4,8,26}*1664b, {8,4,26}*1664b, {26,4,8}*1664b, {26,8,4}*1664b, {2,8,52}*1664b, {2,52,8}*1664b, {8,52,2}*1664b, {52,8,2}*1664b, {2,4,104}*1664b, {2,104,4}*1664b, {4,104,2}*1664b, {104,4,2}*1664b, {4,4,26}*1664, {26,4,4}*1664, {2,4,52}*1664, {2,52,4}*1664, {4,52,2}*1664, {52,4,2}*1664, {2,16,26}*1664, {26,16,2}*1664, {2,208,2}*1664
53-fold covers : {2,4,106}*1696, {106,4,2}*1696, {2,212,2}*1696
54-fold covers : {2,4,108}*1728a, {2,108,4}*1728a, {4,108,2}*1728a, {108,4,2}*1728a, {4,4,54}*1728, {54,4,4}*1728, {2,216,2}*1728, {2,8,54}*1728, {54,8,2}*1728, {4,12,18}*1728a, {12,4,18}*1728, {18,4,12}*1728, {18,12,4}*1728a, {4,36,6}*1728a, {4,36,6}*1728b, {6,4,36}*1728, {6,36,4}*1728a, {6,36,4}*1728b, {36,4,6}*1728, {4,12,6}*1728a, {4,12,6}*1728b, {6,12,4}*1728a, {6,12,4}*1728b, {6,12,12}*1728a, {12,12,6}*1728a, {2,72,6}*1728a, {2,72,6}*1728b, {6,72,2}*1728a, {6,72,2}*1728b, {2,24,18}*1728a, {18,24,2}*1728a, {2,24,6}*1728a, {2,24,6}*1728b, {6,24,2}*1728a, {6,24,2}*1728b, {6,8,18}*1728, {18,8,6}*1728, {6,24,6}*1728a, {2,12,36}*1728a, {2,12,36}*1728b, {2,36,12}*1728a, {2,36,12}*1728b, {12,36,2}*1728a, {12,36,2}*1728b, {36,12,2}*1728a, {36,12,2}*1728b, {2,12,12}*1728a, {2,12,12}*1728b, {2,12,12}*1728c, {12,12,2}*1728a, {12,12,2}*1728b, {12,12,2}*1728c, {2,24,18}*1728b, {18,24,2}*1728b, {2,24,6}*1728c, {6,24,2}*1728c, {4,12,18}*1728b, {18,12,4}*1728b, {4,12,6}*1728c, {6,12,4}*1728c, {2,8,6}*1728a, {2,24,6}*1728d, {2,24,6}*1728e, {6,8,2}*1728a, {6,24,2}*1728d, {6,24,2}*1728e, {4,4,6}*1728a, {4,12,6}*1728h, {2,4,12}*1728a, {4,12,6}*1728i, {2,4,12}*1728b, {6,4,4}*1728a, {6,12,4}*1728h, {6,12,4}*1728i, {2,12,4}*1728a, {2,12,4}*1728b, {2,12,12}*1728d, {2,12,12}*1728e, {2,12,12}*1728f, {2,12,12}*1728g, {4,12,2}*1728a, {4,12,2}*1728b, {12,4,2}*1728a, {12,4,2}*1728b, {12,12,2}*1728d, {12,12,2}*1728e, {12,12,2}*1728f, {12,12,2}*1728g, {6,24,6}*1728b, {6,24,6}*1728c, {6,24,6}*1728d, {6,24,6}*1728e, {2,24,6}*1728f, {6,24,2}*1728f, {6,12,12}*1728b, {6,12,12}*1728c, {6,12,12}*1728d, {6,12,12}*1728e, {6,12,12}*1728f, {12,12,6}*1728b, {12,12,6}*1728c, {12,12,6}*1728d, {12,12,6}*1728e, {12,12,6}*1728f, {6,24,6}*1728f, {6,24,6}*1728g, {2,12,12}*1728h, {12,12,2}*1728h, {4,12,6}*1728j, {6,12,4}*1728j, {6,12,12}*1728g, {12,12,6}*1728g, {6,8,6}*1728a, {6,8,6}*1728b, {6,4,12}*1728a, {2,4,12}*1728c, {12,4,6}*1728a, {2,4,12}*1728d, {2,12,4}*1728c, {2,12,4}*1728d, {2,12,12}*1728i, {2,12,12}*1728j, {4,12,2}*1728c, {4,12,2}*1728d, {12,4,2}*1728c, {12,4,2}*1728d, {12,12,2}*1728i, {12,12,2}*1728j, {2,8,6}*1728b, {2,24,6}*1728g, {6,8,2}*1728b, {6,24,2}*1728g, {4,4,6}*1728b, {4,4,6}*1728c, {4,12,6}*1728n, {4,12,6}*1728o, {4,12,6}*1728p, {6,4,4}*1728b, {6,4,4}*1728c, {6,4,12}*1728b, {6,12,4}*1728n, {6,12,4}*1728o, {6,12,4}*1728p, {12,4,6}*1728b, {2,24,6}*1728h, {6,24,2}*1728h, {4,12,6}*1728q, {6,12,4}*1728q, {2,12,12}*1728k, {2,12,12}*1728l, {12,12,2}*1728k, {12,12,2}*1728l
55-fold covers : {2,20,22}*1760, {22,20,2}*1760, {2,44,10}*1760, {10,44,2}*1760, {10,4,22}*1760, {22,4,10}*1760, {2,220,2}*1760, {2,4,110}*1760, {110,4,2}*1760
56-fold covers : {4,8,14}*1792a, {8,4,14}*1792a, {14,4,8}*1792a, {14,8,4}*1792a, {2,8,28}*1792a, {2,28,8}*1792a, {8,28,2}*1792a, {28,8,2}*1792a, {2,4,56}*1792a, {2,56,4}*1792a, {4,56,2}*1792a, {56,4,2}*1792a, {8,8,14}*1792a, {8,8,14}*1792b, {8,8,14}*1792c, {14,8,8}*1792a, {14,8,8}*1792b, {14,8,8}*1792c, {2,8,56}*1792a, {2,56,8}*1792a, {8,56,2}*1792a, {56,8,2}*1792a, {2,8,56}*1792b, {2,8,56}*1792c, {2,56,8}*1792b, {2,56,8}*1792c, {8,56,2}*1792b, {8,56,2}*1792c, {56,8,2}*1792b, {56,8,2}*1792c, {8,8,14}*1792d, {14,8,8}*1792d, {2,8,56}*1792d, {2,56,8}*1792d, {8,56,2}*1792d, {56,8,2}*1792d, {8,4,28}*1792a, {28,4,8}*1792a, {4,28,8}*1792a, {8,28,4}*1792a, {4,4,56}*1792a, {56,4,4}*1792a, {8,4,28}*1792b, {28,4,8}*1792b, {4,28,8}*1792b, {8,28,4}*1792b, {4,4,56}*1792b, {56,4,4}*1792b, {4,8,28}*1792a, {28,8,4}*1792a, {4,56,4}*1792a, {4,4,28}*1792a, {28,4,4}*1792a, {4,28,4}*1792a, {4,28,4}*1792b, {4,4,28}*1792b, {28,4,4}*1792b, {4,8,28}*1792b, {28,8,4}*1792b, {4,56,4}*1792b, {4,56,4}*1792c, {4,8,28}*1792c, {28,8,4}*1792c, {4,8,28}*1792d, {28,8,4}*1792d, {4,56,4}*1792d, {4,16,14}*1792a, {14,4,16}*1792a, {14,16,4}*1792a, {16,4,14}*1792a, {2,16,28}*1792a, {2,28,16}*1792a, {16,28,2}*1792a, {28,16,2}*1792a, {2,4,112}*1792a, {2,112,4}*1792a, {4,112,2}*1792a, {112,4,2}*1792a, {4,16,14}*1792b, {14,4,16}*1792b, {14,16,4}*1792b, {16,4,14}*1792b, {2,16,28}*1792b, {2,28,16}*1792b, {16,28,2}*1792b, {28,16,2}*1792b, {2,4,112}*1792b, {2,112,4}*1792b, {4,112,2}*1792b, {112,4,2}*1792b, {4,4,14}*1792, {4,8,14}*1792b, {8,4,14}*1792b, {14,4,4}*1792, {14,4,8}*1792b, {14,8,4}*1792b, {2,4,28}*1792, {2,4,56}*1792b, {2,28,4}*1792, {2,56,4}*1792b, {4,28,2}*1792, {4,56,2}*1792b, {28,4,2}*1792, {56,4,2}*1792b, {2,8,28}*1792b, {2,28,8}*1792b, {8,28,2}*1792b, {28,8,2}*1792b, {2,32,14}*1792, {14,32,2}*1792, {2,224,2}*1792
57-fold covers : {2,12,38}*1824, {38,12,2}*1824, {2,76,6}*1824a, {6,76,2}*1824a, {6,4,38}*1824, {38,4,6}*1824, {2,228,2}*1824, {2,4,114}*1824a, {114,4,2}*1824a
58-fold covers : {4,4,58}*1856, {58,4,4}*1856, {2,4,116}*1856, {2,116,4}*1856, {4,116,2}*1856, {116,4,2}*1856, {2,8,58}*1856, {58,8,2}*1856, {2,232,2}*1856
59-fold covers : {2,4,118}*1888, {118,4,2}*1888, {2,236,2}*1888
60-fold covers : {4,4,60}*1920, {60,4,4}*1920, {4,60,4}*1920a, {4,20,12}*1920, {12,20,4}*1920, {4,12,20}*1920a, {20,12,4}*1920a, {12,4,20}*1920, {20,4,12}*1920, {4,8,30}*1920a, {8,4,30}*1920a, {30,4,8}*1920a, {30,8,4}*1920a, {2,8,60}*1920a, {2,60,8}*1920a, {8,60,2}*1920a, {60,8,2}*1920a, {2,4,120}*1920a, {2,120,4}*1920a, {4,120,2}*1920a, {120,4,2}*1920a, {8,12,10}*1920a, {10,8,12}*1920a, {10,12,8}*1920a, {12,8,10}*1920a, {6,8,20}*1920a, {6,20,8}*1920a, {8,20,6}*1920a, {20,8,6}*1920a, {4,24,10}*1920a, {10,4,24}*1920a, {10,24,4}*1920a, {24,4,10}*1920a, {4,40,6}*1920a, {6,4,40}*1920a, {6,40,4}*1920a, {40,4,6}*1920a, {2,12,40}*1920a, {2,40,12}*1920a, {12,40,2}*1920a, {40,12,2}*1920a, {2,20,24}*1920a, {2,24,20}*1920a, {20,24,2}*1920a, {24,20,2}*1920a, {4,8,30}*1920b, {8,4,30}*1920b, {30,4,8}*1920b, {30,8,4}*1920b, {2,8,60}*1920b, {2,60,8}*1920b, {8,60,2}*1920b, {60,8,2}*1920b, {2,4,120}*1920b, {2,120,4}*1920b, {4,120,2}*1920b, {120,4,2}*1920b, {8,12,10}*1920b, {10,8,12}*1920b, {10,12,8}*1920b, {12,8,10}*1920b, {6,8,20}*1920b, {6,20,8}*1920b, {8,20,6}*1920b, {20,8,6}*1920b, {4,24,10}*1920b, {10,4,24}*1920b, {10,24,4}*1920b, {24,4,10}*1920b, {4,40,6}*1920b, {6,4,40}*1920b, {6,40,4}*1920b, {40,4,6}*1920b, {2,12,40}*1920b, {2,40,12}*1920b, {12,40,2}*1920b, {40,12,2}*1920b, {2,20,24}*1920b, {2,24,20}*1920b, {20,24,2}*1920b, {24,20,2}*1920b, {4,4,30}*1920a, {30,4,4}*1920a, {2,4,60}*1920a, {2,60,4}*1920a, {4,60,2}*1920a, {60,4,2}*1920a, {4,12,10}*1920a, {10,4,12}*1920a, {10,12,4}*1920a, {12,4,10}*1920a, {4,20,6}*1920a, {6,4,20}*1920a, {6,20,4}*1920a, {20,4,6}*1920a, {2,12,20}*1920a, {2,20,12}*1920a, {12,20,2}*1920a, {20,12,2}*1920a, {2,16,30}*1920, {30,16,2}*1920, {2,240,2}*1920, {6,16,10}*1920, {10,16,6}*1920, {2,48,10}*1920, {10,48,2}*1920, {2,80,6}*1920, {6,80,2}*1920, {4,12,10}*1920b, {10,12,4}*1920b, {2,12,20}*1920b, {20,12,2}*1920b, {2,20,6}*1920a, {2,60,6}*1920a, {6,20,2}*1920a, {6,60,2}*1920a, {6,4,10}*1920, {6,12,10}*1920a, {10,4,6}*1920, {10,12,6}*1920a, {2,12,30}*1920b, {30,12,2}*1920b, {2,60,4}*1920b, {4,60,2}*1920b, {2,4,30}*1920b, {30,4,2}*1920b, {2,4,10}*1920, {2,12,6}*1920a, {2,12,10}*1920b, {6,12,2}*1920a, {10,4,2}*1920, {10,12,2}*1920b, {2,4,6}*1920, {6,12,6}*1920a, {2,12,4}*1920b, {2,20,4}*1920a, {2,20,6}*1920b, {4,12,2}*1920b, {4,20,2}*1920a, {6,4,2}*1920, {6,20,2}*1920b, {2,12,10}*1920c, {2,20,6}*1920c, {2,20,10}*1920a, {6,20,2}*1920c, {10,12,2}*1920c, {10,20,2}*1920a
61-fold covers : {2,4,122}*1952, {122,4,2}*1952, {2,244,2}*1952
62-fold covers : {4,4,62}*1984, {62,4,4}*1984, {2,4,124}*1984, {2,124,4}*1984, {4,124,2}*1984, {124,4,2}*1984, {2,8,62}*1984, {62,8,2}*1984, {2,248,2}*1984
Permutation Representation (GAP) :
s0 := (1,2);;
s1 := (4,5);;
s2 := (3,4)(5,6);;
s3 := (7,8);;
poly := Group([s0,s1,s2,s3]);;
Finitely Presented Group Representation (GAP) :
F := FreeGroup("s0","s1","s2","s3");;
s0 := F.1;; s1 := F.2;; s2 := F.3;; s3 := F.4;;
rels := [ s0*s0, s1*s1, s2*s2, s3*s3, s0*s1*s0*s1,
s0*s2*s0*s2, s0*s3*s0*s3, s1*s3*s1*s3,
s2*s3*s2*s3, s1*s2*s1*s2*s1*s2*s1*s2 ];;
poly := F / rels;;
Permutation Representation (Magma) :
s0 := Sym(8)!(1,2);
s1 := Sym(8)!(4,5);
s2 := Sym(8)!(3,4)(5,6);
s3 := Sym(8)!(7,8);
poly := sub<Sym(8)|s0,s1,s2,s3>;
Finitely Presented Group Representation (Magma) :
poly<s0,s1,s2,s3> := Group< s0,s1,s2,s3 | s0*s0, s1*s1, s2*s2,
s3*s3, s0*s1*s0*s1, s0*s2*s0*s2, s0*s3*s0*s3,
s1*s3*s1*s3, s2*s3*s2*s3, s1*s2*s1*s2*s1*s2*s1*s2 >;
to this polytope