Polytope of Type {2,4}
This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {2,4}*16
if this polytope has a name.
Group : SmallGroup(16,11)
Rank : 3
Schlafli Type : {2,4}
Number of vertices, edges, etc : 2, 4, 4
Order of s0s1s2 : 4
Order of s0s1s2s1 : 2
Special Properties :
Degenerate
Universal
Compact Hyperbolic Quotient
Locally Spherical
Orientable
Flat
Related Polytopes :
Facet
Vertex Figure
Dual
Facet Of :
{2,4,2} of size 32
{2,4,3} of size 48
{2,4,4} of size 64
{2,4,6} of size 96
{2,4,3} of size 96
{2,4,6} of size 96
{2,4,6} of size 96
{2,4,8} of size 128
{2,4,8} of size 128
{2,4,4} of size 128
{2,4,9} of size 144
{2,4,4} of size 144
{2,4,6} of size 144
{2,4,10} of size 160
{2,4,12} of size 192
{2,4,12} of size 192
{2,4,12} of size 192
{2,4,6} of size 192
{2,4,14} of size 224
{2,4,5} of size 240
{2,4,6} of size 240
{2,4,15} of size 240
{2,4,8} of size 256
{2,4,16} of size 256
{2,4,16} of size 256
{2,4,4} of size 256
{2,4,8} of size 256
{2,4,18} of size 288
{2,4,9} of size 288
{2,4,18} of size 288
{2,4,18} of size 288
{2,4,4} of size 288
{2,4,6} of size 288
{2,4,20} of size 320
{2,4,5} of size 320
{2,4,21} of size 336
{2,4,22} of size 352
{2,4,24} of size 384
{2,4,12} of size 384
{2,4,24} of size 384
{2,4,6} of size 384
{2,4,24} of size 384
{2,4,24} of size 384
{2,4,12} of size 384
{2,4,6} of size 384
{2,4,12} of size 384
{2,4,4} of size 400
{2,4,10} of size 400
{2,4,26} of size 416
{2,4,27} of size 432
{2,4,6} of size 432
{2,4,12} of size 432
{2,4,28} of size 448
{2,4,30} of size 480
{2,4,5} of size 480
{2,4,6} of size 480
{2,4,6} of size 480
{2,4,6} of size 480
{2,4,10} of size 480
{2,4,10} of size 480
{2,4,15} of size 480
{2,4,30} of size 480
{2,4,30} of size 480
{2,4,8} of size 512
{2,4,16} of size 512
{2,4,16} of size 512
{2,4,32} of size 512
{2,4,32} of size 512
{2,4,4} of size 512
{2,4,8} of size 512
{2,4,8} of size 512
{2,4,8} of size 512
{2,4,33} of size 528
{2,4,34} of size 544
{2,4,36} of size 576
{2,4,36} of size 576
{2,4,36} of size 576
{2,4,18} of size 576
{2,4,4} of size 576
{2,4,12} of size 576
{2,4,38} of size 608
{2,4,39} of size 624
{2,4,40} of size 640
{2,4,20} of size 640
{2,4,40} of size 640
{2,4,5} of size 640
{2,4,10} of size 640
{2,4,10} of size 640
{2,4,42} of size 672
{2,4,6} of size 672
{2,4,7} of size 672
{2,4,8} of size 672
{2,4,8} of size 672
{2,4,21} of size 672
{2,4,42} of size 672
{2,4,42} of size 672
{2,4,44} of size 704
{2,4,45} of size 720
{2,4,46} of size 736
{2,4,24} of size 768
{2,4,48} of size 768
{2,4,48} of size 768
{2,4,12} of size 768
{2,4,24} of size 768
{2,4,12} of size 768
{2,4,12} of size 768
{2,4,48} of size 768
{2,4,48} of size 768
{2,4,12} of size 768
{2,4,6} of size 768
{2,4,24} of size 768
{2,4,24} of size 768
{2,4,6} of size 768
{2,4,24} of size 768
{2,4,12} of size 768
{2,4,24} of size 768
{2,4,4} of size 784
{2,4,14} of size 784
{2,4,50} of size 800
{2,4,4} of size 800
{2,4,10} of size 800
{2,4,51} of size 816
{2,4,52} of size 832
{2,4,54} of size 864
{2,4,27} of size 864
{2,4,54} of size 864
{2,4,54} of size 864
{2,4,6} of size 864
{2,4,12} of size 864
{2,4,6} of size 864
{2,4,12} of size 864
{2,4,56} of size 896
{2,4,28} of size 896
{2,4,56} of size 896
{2,4,57} of size 912
{2,4,58} of size 928
{2,4,60} of size 960
{2,4,10} of size 960
{2,4,10} of size 960
{2,4,12} of size 960
{2,4,12} of size 960
{2,4,60} of size 960
{2,4,60} of size 960
{2,4,6} of size 960
{2,4,10} of size 960
{2,4,15} of size 960
{2,4,30} of size 960
{2,4,62} of size 992
{2,4,63} of size 1008
{2,4,66} of size 1056
{2,4,33} of size 1056
{2,4,66} of size 1056
{2,4,66} of size 1056
{2,4,68} of size 1088
{2,4,69} of size 1104
{2,4,70} of size 1120
{2,4,72} of size 1152
{2,4,8} of size 1152
{2,4,24} of size 1152
{2,4,72} of size 1152
{2,4,8} of size 1152
{2,4,24} of size 1152
{2,4,36} of size 1152
{2,4,4} of size 1152
{2,4,12} of size 1152
{2,4,18} of size 1152
{2,4,72} of size 1152
{2,4,72} of size 1152
{2,4,36} of size 1152
{2,4,18} of size 1152
{2,4,36} of size 1152
{2,4,74} of size 1184
{2,4,75} of size 1200
{2,4,76} of size 1216
{2,4,78} of size 1248
{2,4,39} of size 1248
{2,4,78} of size 1248
{2,4,78} of size 1248
{2,4,40} of size 1280
{2,4,80} of size 1280
{2,4,80} of size 1280
{2,4,20} of size 1280
{2,4,40} of size 1280
{2,4,20} of size 1280
{2,4,20} of size 1280
{2,4,5} of size 1280
{2,4,10} of size 1280
{2,4,20} of size 1280
{2,4,20} of size 1280
{2,4,10} of size 1280
{2,4,81} of size 1296
{2,4,4} of size 1296
{2,4,18} of size 1296
{2,4,9} of size 1296
{2,4,82} of size 1312
{2,4,84} of size 1344
{2,4,84} of size 1344
{2,4,84} of size 1344
{2,4,6} of size 1344
{2,4,6} of size 1344
{2,4,6} of size 1344
{2,4,7} of size 1344
{2,4,8} of size 1344
{2,4,8} of size 1344
{2,4,8} of size 1344
{2,4,8} of size 1344
{2,4,8} of size 1344
{2,4,8} of size 1344
{2,4,14} of size 1344
{2,4,14} of size 1344
{2,4,42} of size 1344
{2,4,86} of size 1376
{2,4,87} of size 1392
{2,4,88} of size 1408
{2,4,88} of size 1408
{2,4,44} of size 1408
{2,4,90} of size 1440
{2,4,45} of size 1440
{2,4,90} of size 1440
{2,4,90} of size 1440
{2,4,5} of size 1440
{2,4,8} of size 1440
{2,4,10} of size 1440
{2,4,6} of size 1440
{2,4,15} of size 1440
{2,4,20} of size 1440
{2,4,30} of size 1440
{2,4,92} of size 1472
{2,4,93} of size 1488
{2,4,94} of size 1504
{2,4,98} of size 1568
{2,4,4} of size 1568
{2,4,14} of size 1568
{2,4,99} of size 1584
{2,4,100} of size 1600
{2,4,25} of size 1600
{2,4,4} of size 1600
{2,4,20} of size 1600
{2,4,102} of size 1632
{2,4,51} of size 1632
{2,4,102} of size 1632
{2,4,102} of size 1632
{2,4,104} of size 1664
{2,4,104} of size 1664
{2,4,52} of size 1664
{2,4,105} of size 1680
{2,4,106} of size 1696
{2,4,108} of size 1728
{2,4,108} of size 1728
{2,4,108} of size 1728
{2,4,54} of size 1728
{2,4,12} of size 1728
{2,4,12} of size 1728
{2,4,12} of size 1728
{2,4,12} of size 1728
{2,4,110} of size 1760
{2,4,111} of size 1776
{2,4,56} of size 1792
{2,4,112} of size 1792
{2,4,112} of size 1792
{2,4,28} of size 1792
{2,4,56} of size 1792
{2,4,7} of size 1792
{2,4,114} of size 1824
{2,4,57} of size 1824
{2,4,114} of size 1824
{2,4,114} of size 1824
{2,4,116} of size 1856
{2,4,117} of size 1872
{2,4,118} of size 1888
{2,4,120} of size 1920
{2,4,120} of size 1920
{2,4,60} of size 1920
{2,4,30} of size 1920
{2,4,120} of size 1920
{2,4,120} of size 1920
{2,4,60} of size 1920
{2,4,30} of size 1920
{2,4,60} of size 1920
{2,4,15} of size 1920
{2,4,30} of size 1920
{2,4,30} of size 1920
{2,4,10} of size 1920
{2,4,12} of size 1920
{2,4,6} of size 1920
{2,4,12} of size 1920
{2,4,20} of size 1920
{2,4,20} of size 1920
{2,4,20} of size 1920
{2,4,20} of size 1920
{2,4,24} of size 1920
{2,4,24} of size 1920
{2,4,4} of size 1936
{2,4,22} of size 1936
{2,4,122} of size 1952
{2,4,123} of size 1968
{2,4,124} of size 1984
{2,4,10} of size 2000
{2,4,20} of size 2000
Vertex Figure Of :
{2,2,4} of size 32
{3,2,4} of size 48
{4,2,4} of size 64
{5,2,4} of size 80
{6,2,4} of size 96
{7,2,4} of size 112
{8,2,4} of size 128
{9,2,4} of size 144
{10,2,4} of size 160
{11,2,4} of size 176
{12,2,4} of size 192
{13,2,4} of size 208
{14,2,4} of size 224
{15,2,4} of size 240
{16,2,4} of size 256
{17,2,4} of size 272
{18,2,4} of size 288
{19,2,4} of size 304
{20,2,4} of size 320
{21,2,4} of size 336
{22,2,4} of size 352
{23,2,4} of size 368
{24,2,4} of size 384
{25,2,4} of size 400
{26,2,4} of size 416
{27,2,4} of size 432
{28,2,4} of size 448
{29,2,4} of size 464
{30,2,4} of size 480
{31,2,4} of size 496
{33,2,4} of size 528
{34,2,4} of size 544
{35,2,4} of size 560
{36,2,4} of size 576
{37,2,4} of size 592
{38,2,4} of size 608
{39,2,4} of size 624
{40,2,4} of size 640
{41,2,4} of size 656
{42,2,4} of size 672
{43,2,4} of size 688
{44,2,4} of size 704
{45,2,4} of size 720
{46,2,4} of size 736
{47,2,4} of size 752
{48,2,4} of size 768
{49,2,4} of size 784
{50,2,4} of size 800
{51,2,4} of size 816
{52,2,4} of size 832
{53,2,4} of size 848
{54,2,4} of size 864
{55,2,4} of size 880
{56,2,4} of size 896
{57,2,4} of size 912
{58,2,4} of size 928
{59,2,4} of size 944
{60,2,4} of size 960
{61,2,4} of size 976
{62,2,4} of size 992
{63,2,4} of size 1008
{65,2,4} of size 1040
{66,2,4} of size 1056
{67,2,4} of size 1072
{68,2,4} of size 1088
{69,2,4} of size 1104
{70,2,4} of size 1120
{71,2,4} of size 1136
{72,2,4} of size 1152
{73,2,4} of size 1168
{74,2,4} of size 1184
{75,2,4} of size 1200
{76,2,4} of size 1216
{77,2,4} of size 1232
{78,2,4} of size 1248
{79,2,4} of size 1264
{80,2,4} of size 1280
{81,2,4} of size 1296
{82,2,4} of size 1312
{83,2,4} of size 1328
{84,2,4} of size 1344
{85,2,4} of size 1360
{86,2,4} of size 1376
{87,2,4} of size 1392
{88,2,4} of size 1408
{89,2,4} of size 1424
{90,2,4} of size 1440
{91,2,4} of size 1456
{92,2,4} of size 1472
{93,2,4} of size 1488
{94,2,4} of size 1504
{95,2,4} of size 1520
{97,2,4} of size 1552
{98,2,4} of size 1568
{99,2,4} of size 1584
{100,2,4} of size 1600
{101,2,4} of size 1616
{102,2,4} of size 1632
{103,2,4} of size 1648
{104,2,4} of size 1664
{105,2,4} of size 1680
{106,2,4} of size 1696
{107,2,4} of size 1712
{108,2,4} of size 1728
{109,2,4} of size 1744
{110,2,4} of size 1760
{111,2,4} of size 1776
{112,2,4} of size 1792
{113,2,4} of size 1808
{114,2,4} of size 1824
{115,2,4} of size 1840
{116,2,4} of size 1856
{117,2,4} of size 1872
{118,2,4} of size 1888
{119,2,4} of size 1904
{120,2,4} of size 1920
{121,2,4} of size 1936
{122,2,4} of size 1952
{123,2,4} of size 1968
{124,2,4} of size 1984
{125,2,4} of size 2000
Quotients (Maximal Quotients in Boldface) :
2-fold quotients : {2,2}*8
Covers (Minimal Covers in Boldface) :
2-fold covers : {4,4}*32, {2,8}*32
3-fold covers : {2,12}*48, {6,4}*48a
4-fold covers : {4,8}*64a, {8,4}*64a, {4,8}*64b, {8,4}*64b, {4,4}*64, {2,16}*64
5-fold covers : {2,20}*80, {10,4}*80
6-fold covers : {4,12}*96a, {12,4}*96a, {2,24}*96, {6,8}*96
7-fold covers : {2,28}*112, {14,4}*112
8-fold covers : {4,8}*128a, {8,4}*128a, {8,8}*128a, {8,8}*128b, {8,8}*128c, {8,8}*128d, {4,16}*128a, {16,4}*128a, {4,16}*128b, {16,4}*128b, {4,4}*128, {4,8}*128b, {8,4}*128b, {2,32}*128
9-fold covers : {2,36}*144, {18,4}*144a, {6,12}*144a, {6,12}*144b, {6,12}*144c, {6,4}*144
10-fold covers : {4,20}*160, {20,4}*160, {2,40}*160, {10,8}*160
11-fold covers : {2,44}*176, {22,4}*176
12-fold covers : {4,24}*192a, {24,4}*192a, {4,12}*192a, {12,4}*192a, {4,24}*192b, {24,4}*192b, {8,12}*192a, {12,8}*192a, {8,12}*192b, {12,8}*192b, {2,48}*192, {6,16}*192, {4,12}*192b, {6,4}*192b, {6,12}*192a
13-fold covers : {2,52}*208, {26,4}*208
14-fold covers : {4,28}*224, {28,4}*224, {2,56}*224, {14,8}*224
15-fold covers : {10,12}*240, {6,20}*240a, {2,60}*240, {30,4}*240a
16-fold covers : {8,8}*256a, {4,8}*256a, {8,4}*256a, {8,8}*256b, {8,8}*256c, {8,8}*256d, {4,16}*256a, {16,4}*256a, {4,16}*256b, {16,4}*256b, {8,16}*256a, {16,8}*256a, {8,16}*256b, {16,8}*256b, {8,16}*256c, {8,16}*256d, {16,8}*256c, {16,8}*256d, {8,16}*256e, {8,16}*256f, {16,8}*256e, {16,8}*256f, {4,32}*256a, {32,4}*256a, {4,32}*256b, {32,4}*256b, {4,4}*256, {4,8}*256b, {8,4}*256b, {4,8}*256c, {4,8}*256d, {8,4}*256c, {8,4}*256d, {8,8}*256e, {8,8}*256f, {8,8}*256g, {8,8}*256h, {2,64}*256
17-fold covers : {2,68}*272, {34,4}*272
18-fold covers : {4,36}*288a, {36,4}*288a, {2,72}*288, {18,8}*288, {6,24}*288a, {6,24}*288b, {12,12}*288a, {12,12}*288b, {12,12}*288c, {6,24}*288c, {6,8}*288, {4,4}*288, {4,12}*288, {12,4}*288
19-fold covers : {2,76}*304, {38,4}*304
20-fold covers : {4,40}*320a, {40,4}*320a, {4,20}*320, {20,4}*320, {4,40}*320b, {40,4}*320b, {8,20}*320a, {20,8}*320a, {8,20}*320b, {20,8}*320b, {2,80}*320, {10,16}*320
21-fold covers : {14,12}*336, {6,28}*336a, {2,84}*336, {42,4}*336a
22-fold covers : {4,44}*352, {44,4}*352, {2,88}*352, {22,8}*352
23-fold covers : {2,92}*368, {46,4}*368
24-fold covers : {4,24}*384a, {24,4}*384a, {8,24}*384a, {8,24}*384b, {24,8}*384a, {24,8}*384b, {8,12}*384a, {12,8}*384a, {8,24}*384c, {24,8}*384c, {8,24}*384d, {24,8}*384d, {4,48}*384a, {48,4}*384a, {4,48}*384b, {48,4}*384b, {4,12}*384a, {4,24}*384b, {12,4}*384a, {24,4}*384b, {8,12}*384b, {12,8}*384b, {12,16}*384a, {16,12}*384a, {12,16}*384b, {16,12}*384b, {2,96}*384, {6,32}*384, {4,12}*384d, {12,4}*384d, {12,12}*384a, {8,12}*384e, {8,12}*384f, {6,8}*384f, {6,12}*384, {12,12}*384c, {4,24}*384c, {4,24}*384d, {6,8}*384g, {6,24}*384a, {12,4}*384e, {6,4}*384b, {6,24}*384b
25-fold covers : {2,100}*400, {50,4}*400, {10,20}*400a, {10,20}*400b, {10,20}*400c, {10,4}*400
26-fold covers : {4,52}*416, {52,4}*416, {2,104}*416, {26,8}*416
27-fold covers : {2,108}*432, {54,4}*432a, {6,36}*432a, {6,36}*432b, {18,12}*432a, {6,12}*432a, {6,12}*432b, {18,12}*432b, {6,12}*432c, {6,4}*432a, {6,12}*432e, {6,12}*432f, {6,12}*432g, {6,4}*432b, {6,12}*432h, {6,12}*432i
28-fold covers : {4,56}*448a, {56,4}*448a, {4,28}*448, {28,4}*448, {4,56}*448b, {56,4}*448b, {8,28}*448a, {28,8}*448a, {8,28}*448b, {28,8}*448b, {2,112}*448, {14,16}*448
29-fold covers : {2,116}*464, {58,4}*464
30-fold covers : {10,24}*480, {6,40}*480, {12,20}*480, {20,12}*480, {4,60}*480a, {60,4}*480a, {2,120}*480, {30,8}*480
31-fold covers : {2,124}*496, {62,4}*496
32-fold covers : {4,16}*512a, {16,4}*512a, {8,16}*512a, {16,8}*512a, {8,16}*512b, {16,8}*512b, {16,16}*512a, {16,16}*512b, {16,16}*512c, {16,16}*512d, {16,16}*512e, {16,16}*512f, {16,16}*512g, {16,16}*512h, {16,16}*512i, {16,16}*512j, {16,16}*512k, {16,16}*512l, {8,16}*512c, {16,8}*512c, {8,16}*512d, {16,8}*512d, {8,16}*512e, {16,8}*512e, {8,16}*512f, {16,8}*512f, {8,8}*512a, {8,8}*512b, {8,8}*512c, {4,8}*512a, {8,4}*512a, {8,8}*512d, {8,8}*512e, {8,8}*512f, {8,8}*512g, {4,16}*512b, {16,4}*512b, {4,8}*512b, {4,8}*512c, {8,4}*512b, {8,4}*512c, {8,8}*512h, {8,8}*512i, {8,8}*512j, {8,8}*512k, {8,8}*512l, {8,8}*512m, {8,8}*512n, {8,8}*512o, {4,16}*512c, {4,16}*512d, {16,4}*512c, {16,4}*512d, {8,8}*512p, {8,8}*512q, {8,8}*512r, {8,8}*512s, {8,8}*512t, {8,16}*512g, {16,8}*512g, {8,16}*512h, {16,8}*512h, {4,32}*512a, {32,4}*512a, {4,32}*512b, {32,4}*512b, {8,32}*512a, {8,32}*512b, {32,8}*512a, {32,8}*512b, {8,32}*512c, {8,32}*512d, {32,8}*512c, {32,8}*512d, {4,64}*512a, {64,4}*512a, {4,64}*512b, {64,4}*512b, {4,4}*512, {4,16}*512e, {16,4}*512e, {4,8}*512d, {4,16}*512f, {8,4}*512d, {16,4}*512f, {2,128}*512
33-fold covers : {22,12}*528, {6,44}*528a, {2,132}*528, {66,4}*528a
34-fold covers : {4,68}*544, {68,4}*544, {2,136}*544, {34,8}*544
35-fold covers : {14,20}*560, {10,28}*560, {2,140}*560, {70,4}*560
36-fold covers : {4,72}*576a, {72,4}*576a, {4,36}*576a, {36,4}*576a, {4,72}*576b, {72,4}*576b, {8,36}*576a, {36,8}*576a, {8,36}*576b, {36,8}*576b, {2,144}*576, {18,16}*576, {6,48}*576a, {6,48}*576b, {12,24}*576a, {24,12}*576a, {12,12}*576a, {12,12}*576b, {12,12}*576c, {12,24}*576b, {24,12}*576b, {12,24}*576c, {12,24}*576d, {24,12}*576c, {24,12}*576d, {12,24}*576e, {12,24}*576f, {24,12}*576e, {24,12}*576f, {6,48}*576c, {4,36}*576b, {18,4}*576b, {6,16}*576, {4,4}*576, {4,12}*576, {12,4}*576, {8,12}*576a, {12,8}*576a, {4,8}*576a, {4,24}*576a, {8,4}*576a, {24,4}*576a, {4,8}*576b, {4,24}*576b, {8,4}*576b, {24,4}*576b, {8,12}*576b, {12,8}*576b, {12,12}*576f, {12,12}*576g, {6,12}*576a, {6,12}*576b, {6,12}*576e, {6,12}*576f
37-fold covers : {2,148}*592, {74,4}*592
38-fold covers : {4,76}*608, {76,4}*608, {2,152}*608, {38,8}*608
39-fold covers : {26,12}*624, {6,52}*624a, {2,156}*624, {78,4}*624a
40-fold covers : {4,40}*640a, {40,4}*640a, {8,40}*640a, {8,40}*640b, {40,8}*640a, {40,8}*640b, {8,20}*640a, {20,8}*640a, {8,40}*640c, {40,8}*640c, {8,40}*640d, {40,8}*640d, {4,80}*640a, {80,4}*640a, {4,80}*640b, {80,4}*640b, {4,20}*640a, {4,40}*640b, {20,4}*640a, {40,4}*640b, {8,20}*640b, {20,8}*640b, {16,20}*640a, {20,16}*640a, {16,20}*640b, {20,16}*640b, {2,160}*640, {10,32}*640
41-fold covers : {2,164}*656, {82,4}*656
42-fold covers : {14,24}*672, {6,56}*672, {12,28}*672, {28,12}*672, {4,84}*672a, {84,4}*672a, {2,168}*672, {42,8}*672
43-fold covers : {2,172}*688, {86,4}*688
44-fold covers : {4,88}*704a, {88,4}*704a, {4,44}*704, {44,4}*704, {4,88}*704b, {88,4}*704b, {8,44}*704a, {44,8}*704a, {8,44}*704b, {44,8}*704b, {2,176}*704, {22,16}*704
45-fold covers : {10,36}*720, {18,20}*720a, {2,180}*720, {90,4}*720a, {6,60}*720a, {30,12}*720a, {30,12}*720b, {6,60}*720b, {6,60}*720c, {30,12}*720c, {30,4}*720, {6,20}*720
46-fold covers : {4,92}*736, {92,4}*736, {2,184}*736, {46,8}*736
47-fold covers : {2,188}*752, {94,4}*752
48-fold covers : {8,24}*768a, {24,8}*768a, {8,12}*768a, {8,24}*768b, {12,8}*768a, {24,8}*768b, {4,24}*768a, {24,4}*768a, {8,24}*768c, {24,8}*768c, {8,24}*768d, {24,8}*768d, {12,16}*768a, {16,12}*768a, {4,48}*768a, {48,4}*768a, {12,16}*768b, {16,12}*768b, {4,48}*768b, {48,4}*768b, {8,48}*768a, {48,8}*768a, {16,24}*768a, {24,16}*768a, {8,48}*768b, {48,8}*768b, {16,24}*768b, {24,16}*768b, {16,24}*768c, {24,16}*768c, {8,48}*768c, {8,48}*768d, {48,8}*768c, {48,8}*768d, {16,24}*768d, {24,16}*768d, {16,24}*768e, {24,16}*768e, {8,48}*768e, {8,48}*768f, {48,8}*768e, {48,8}*768f, {16,24}*768f, {24,16}*768f, {12,32}*768a, {32,12}*768a, {4,96}*768a, {96,4}*768a, {12,32}*768b, {32,12}*768b, {4,96}*768b, {96,4}*768b, {4,12}*768a, {4,24}*768b, {12,4}*768a, {24,4}*768b, {8,12}*768b, {12,8}*768b, {8,12}*768c, {8,24}*768e, {12,8}*768c, {24,8}*768e, {4,24}*768c, {4,24}*768d, {24,4}*768c, {24,4}*768d, {8,12}*768d, {8,24}*768f, {12,8}*768d, {24,8}*768f, {8,24}*768g, {24,8}*768g, {8,24}*768h, {24,8}*768h, {6,64}*768, {2,192}*768, {8,24}*768i, {8,24}*768j, {8,24}*768k, {8,24}*768l, {6,8}*768j, {6,24}*768, {12,8}*768o, {12,24}*768a, {12,8}*768p, {12,24}*768b, {4,12}*768b, {6,4}*768a, {6,12}*768f, {8,12}*768q, {8,12}*768r, {8,12}*768s, {12,8}*768s, {12,12}*768a, {4,24}*768i, {24,4}*768i, {4,12}*768d, {12,4}*768d, {12,12}*768b, {8,12}*768t, {12,8}*768t, {12,12}*768c, {4,24}*768j, {24,4}*768j, {8,12}*768u, {12,8}*768u, {12,24}*768c, {24,12}*768c, {4,12}*768e, {4,24}*768k, {12,4}*768e, {12,24}*768d, {24,4}*768k, {24,12}*768d, {6,8}*768k, {6,12}*768g, {8,12}*768w, {12,8}*768w, {12,24}*768e, {24,12}*768e, {4,12}*768f, {4,24}*768l, {12,4}*768f, {12,24}*768f, {24,4}*768l, {24,12}*768f, {6,8}*768l, {6,12}*768h, {4,48}*768c, {4,48}*768d, {6,16}*768b, {6,48}*768a, {6,16}*768c, {6,48}*768b
49-fold covers : {2,196}*784, {98,4}*784, {14,28}*784a, {14,28}*784b, {14,28}*784c, {14,4}*784
50-fold covers : {4,100}*800, {100,4}*800, {2,200}*800, {50,8}*800, {10,40}*800a, {10,40}*800b, {20,20}*800a, {20,20}*800b, {20,20}*800c, {10,40}*800c, {10,8}*800, {4,4}*800, {4,20}*800, {20,4}*800
51-fold covers : {34,12}*816, {6,68}*816a, {2,204}*816, {102,4}*816a
52-fold covers : {4,104}*832a, {104,4}*832a, {4,52}*832, {52,4}*832, {4,104}*832b, {104,4}*832b, {8,52}*832a, {52,8}*832a, {8,52}*832b, {52,8}*832b, {2,208}*832, {26,16}*832
53-fold covers : {2,212}*848, {106,4}*848
54-fold covers : {4,108}*864a, {108,4}*864a, {2,216}*864, {54,8}*864, {6,72}*864a, {6,72}*864b, {18,24}*864a, {6,24}*864a, {6,24}*864b, {12,36}*864a, {12,36}*864b, {36,12}*864a, {36,12}*864b, {12,12}*864a, {12,12}*864b, {12,12}*864c, {18,24}*864b, {6,24}*864c, {6,8}*864a, {6,24}*864d, {6,24}*864e, {4,12}*864a, {4,12}*864b, {12,4}*864a, {12,4}*864b, {12,12}*864d, {12,12}*864e, {12,12}*864f, {12,12}*864g, {6,24}*864f, {12,12}*864h, {4,12}*864c, {4,12}*864d, {12,4}*864c, {12,4}*864d, {12,12}*864i, {12,12}*864j, {6,8}*864b, {6,24}*864g, {6,24}*864h, {12,12}*864k, {12,12}*864l
55-fold covers : {22,20}*880, {10,44}*880, {2,220}*880, {110,4}*880
56-fold covers : {4,56}*896a, {56,4}*896a, {8,56}*896a, {8,56}*896b, {56,8}*896a, {56,8}*896b, {8,28}*896a, {28,8}*896a, {8,56}*896c, {56,8}*896c, {8,56}*896d, {56,8}*896d, {4,112}*896a, {112,4}*896a, {4,112}*896b, {112,4}*896b, {4,28}*896, {4,56}*896b, {28,4}*896, {56,4}*896b, {8,28}*896b, {28,8}*896b, {16,28}*896a, {28,16}*896a, {16,28}*896b, {28,16}*896b, {2,224}*896, {14,32}*896
57-fold covers : {38,12}*912, {6,76}*912a, {2,228}*912, {114,4}*912a
58-fold covers : {4,116}*928, {116,4}*928, {2,232}*928, {58,8}*928
59-fold covers : {2,236}*944, {118,4}*944
60-fold covers : {10,48}*960, {6,80}*960, {12,20}*960a, {20,12}*960a, {20,24}*960a, {24,20}*960a, {12,40}*960a, {40,12}*960a, {20,24}*960b, {24,20}*960b, {12,40}*960b, {40,12}*960b, {4,120}*960a, {120,4}*960a, {4,60}*960a, {60,4}*960a, {4,120}*960b, {120,4}*960b, {8,60}*960a, {60,8}*960a, {8,60}*960b, {60,8}*960b, {2,240}*960, {30,16}*960, {4,12}*960a, {4,20}*960c, {6,4}*960, {6,20}*960a, {6,12}*960b, {10,4}*960, {10,12}*960b, {6,20}*960c, {10,12}*960c, {10,20}*960a, {20,12}*960b, {6,20}*960e, {6,60}*960a, {30,12}*960b, {4,60}*960b, {30,4}*960b
61-fold covers : {2,244}*976, {122,4}*976
62-fold covers : {4,124}*992, {124,4}*992, {2,248}*992, {62,8}*992
63-fold covers : {14,36}*1008, {18,28}*1008a, {2,252}*1008, {126,4}*1008a, {6,84}*1008a, {42,12}*1008a, {42,12}*1008b, {6,84}*1008b, {6,84}*1008c, {42,12}*1008c, {42,4}*1008, {6,28}*1008
65-fold covers : {26,20}*1040, {10,52}*1040, {2,260}*1040, {130,4}*1040
66-fold covers : {22,24}*1056, {6,88}*1056, {12,44}*1056, {44,12}*1056, {4,132}*1056a, {132,4}*1056a, {2,264}*1056, {66,8}*1056
67-fold covers : {134,4}*1072, {2,268}*1072
68-fold covers : {8,68}*1088a, {68,8}*1088a, {4,136}*1088a, {136,4}*1088a, {8,68}*1088b, {68,8}*1088b, {4,136}*1088b, {136,4}*1088b, {4,68}*1088, {68,4}*1088, {34,16}*1088, {2,272}*1088
69-fold covers : {46,12}*1104, {6,92}*1104a, {2,276}*1104, {138,4}*1104a
70-fold covers : {14,40}*1120, {10,56}*1120, {20,28}*1120, {28,20}*1120, {4,140}*1120, {140,4}*1120, {2,280}*1120, {70,8}*1120
71-fold covers : {142,4}*1136, {2,284}*1136
72-fold covers : {8,36}*1152a, {36,8}*1152a, {4,72}*1152a, {72,4}*1152a, {12,24}*1152a, {12,24}*1152b, {24,12}*1152a, {24,12}*1152b, {12,24}*1152c, {24,12}*1152c, {4,8}*1152a, {4,24}*1152a, {8,4}*1152a, {24,4}*1152a, {8,12}*1152a, {12,8}*1152a, {8,72}*1152a, {72,8}*1152a, {8,72}*1152b, {8,72}*1152c, {72,8}*1152b, {72,8}*1152c, {24,24}*1152a, {24,24}*1152b, {24,24}*1152c, {24,24}*1152d, {24,24}*1152e, {24,24}*1152f, {24,24}*1152g, {24,24}*1152h, {24,24}*1152i, {8,8}*1152a, {8,24}*1152a, {24,8}*1152a, {8,8}*1152b, {8,8}*1152c, {8,24}*1152b, {8,24}*1152c, {24,8}*1152b, {24,8}*1152c, {8,72}*1152d, {72,8}*1152d, {24,24}*1152j, {24,24}*1152k, {24,24}*1152l, {8,8}*1152d, {8,24}*1152d, {24,8}*1152d, {16,36}*1152a, {36,16}*1152a, {4,144}*1152a, {144,4}*1152a, {12,48}*1152a, {12,48}*1152b, {48,12}*1152a, {48,12}*1152b, {12,48}*1152c, {48,12}*1152c, {4,16}*1152a, {4,48}*1152a, {16,4}*1152a, {48,4}*1152a, {12,16}*1152a, {16,12}*1152a, {16,36}*1152b, {36,16}*1152b, {4,144}*1152b, {144,4}*1152b, {12,48}*1152d, {12,48}*1152e, {48,12}*1152d, {48,12}*1152e, {12,48}*1152f, {48,12}*1152f, {4,16}*1152b, {4,48}*1152b, {16,4}*1152b, {48,4}*1152b, {12,16}*1152b, {16,12}*1152b, {4,36}*1152a, {4,72}*1152b, {36,4}*1152a, {72,4}*1152b, {8,36}*1152b, {36,8}*1152b, {12,12}*1152a, {12,12}*1152b, {12,24}*1152d, {12,24}*1152e, {24,12}*1152d, {24,12}*1152e, {12,12}*1152c, {12,24}*1152f, {24,12}*1152f, {4,8}*1152b, {4,12}*1152a, {8,4}*1152b, {8,12}*1152b, {12,4}*1152a, {12,8}*1152b, {4,4}*1152, {4,24}*1152b, {24,4}*1152b, {18,32}*1152, {2,288}*1152, {6,96}*1152a, {6,96}*1152b, {6,96}*1152c, {6,32}*1152, {4,36}*1152d, {36,4}*1152d, {8,36}*1152e, {8,36}*1152f, {18,8}*1152f, {4,72}*1152c, {4,72}*1152d, {18,8}*1152g, {36,4}*1152e, {18,4}*1152b, {24,12}*1152i, {24,12}*1152j, {24,12}*1152k, {24,12}*1152l, {12,12}*1152f, {6,12}*1152a, {6,24}*1152d, {12,24}*1152o, {12,24}*1152p, {12,24}*1152q, {12,24}*1152r, {6,24}*1152g, {6,24}*1152h, {6,12}*1152d, {6,24}*1152i, {12,12}*1152h, {12,12}*1152j, {12,12}*1152k, {12,12}*1152l, {12,12}*1152m, {12,12}*1152n, {12,12}*1152o, {6,24}*1152j, {6,24}*1152k, {6,12}*1152e, {6,24}*1152l, {12,12}*1152q, {12,12}*1152s, {6,12}*1152f, {6,24}*1152m
73-fold covers : {146,4}*1168, {2,292}*1168
74-fold covers : {4,148}*1184, {148,4}*1184, {74,8}*1184, {2,296}*1184
75-fold covers : {50,12}*1200, {6,100}*1200a, {2,300}*1200, {150,4}*1200a, {6,12}*1200a, {6,20}*1200a, {10,12}*1200a, {10,12}*1200b, {6,12}*1200b, {6,20}*1200b, {30,20}*1200a, {10,60}*1200a, {30,20}*1200b, {10,60}*1200b, {10,60}*1200c, {30,20}*1200c, {30,4}*1200b, {10,12}*1200c
76-fold covers : {8,76}*1216a, {76,8}*1216a, {4,152}*1216a, {152,4}*1216a, {8,76}*1216b, {76,8}*1216b, {4,152}*1216b, {152,4}*1216b, {4,76}*1216, {76,4}*1216, {38,16}*1216, {2,304}*1216
77-fold covers : {22,28}*1232, {14,44}*1232, {2,308}*1232, {154,4}*1232
78-fold covers : {26,24}*1248, {6,104}*1248, {12,52}*1248, {52,12}*1248, {4,156}*1248a, {156,4}*1248a, {2,312}*1248, {78,8}*1248
79-fold covers : {158,4}*1264, {2,316}*1264
80-fold covers : {8,40}*1280a, {40,8}*1280a, {8,20}*1280a, {8,40}*1280b, {20,8}*1280a, {40,8}*1280b, {4,40}*1280a, {40,4}*1280a, {8,40}*1280c, {40,8}*1280c, {8,40}*1280d, {40,8}*1280d, {16,20}*1280a, {20,16}*1280a, {4,80}*1280a, {80,4}*1280a, {16,20}*1280b, {20,16}*1280b, {4,80}*1280b, {80,4}*1280b, {8,80}*1280a, {80,8}*1280a, {16,40}*1280a, {40,16}*1280a, {8,80}*1280b, {80,8}*1280b, {16,40}*1280b, {40,16}*1280b, {16,40}*1280c, {40,16}*1280c, {8,80}*1280c, {8,80}*1280d, {80,8}*1280c, {80,8}*1280d, {16,40}*1280d, {40,16}*1280d, {16,40}*1280e, {40,16}*1280e, {8,80}*1280e, {8,80}*1280f, {80,8}*1280e, {80,8}*1280f, {16,40}*1280f, {40,16}*1280f, {20,32}*1280a, {32,20}*1280a, {4,160}*1280a, {160,4}*1280a, {20,32}*1280b, {32,20}*1280b, {4,160}*1280b, {160,4}*1280b, {4,20}*1280a, {4,40}*1280b, {20,4}*1280a, {40,4}*1280b, {8,20}*1280b, {20,8}*1280b, {8,20}*1280c, {8,40}*1280e, {20,8}*1280c, {40,8}*1280e, {4,40}*1280c, {4,40}*1280d, {40,4}*1280c, {40,4}*1280d, {8,20}*1280d, {8,40}*1280f, {20,8}*1280d, {40,8}*1280f, {8,40}*1280g, {40,8}*1280g, {8,40}*1280h, {40,8}*1280h, {10,64}*1280, {2,320}*1280, {10,4}*1280a, {10,20}*1280c, {4,20}*1280c
81-fold covers : {2,324}*1296, {162,4}*1296a, {18,36}*1296a, {18,36}*1296b, {18,12}*1296a, {6,36}*1296a, {6,36}*1296b, {54,12}*1296a, {6,108}*1296a, {6,108}*1296b, {6,12}*1296a, {6,36}*1296c, {6,12}*1296b, {6,36}*1296d, {18,12}*1296b, {6,36}*1296e, {6,36}*1296f, {18,12}*1296c, {18,12}*1296d, {6,12}*1296c, {6,36}*1296g, {18,36}*1296c, {18,12}*1296e, {54,12}*1296b, {18,12}*1296f, {18,12}*1296g, {18,12}*1296h, {6,12}*1296d, {6,36}*1296h, {18,4}*1296a, {6,36}*1296l, {18,12}*1296l, {6,12}*1296g, {6,12}*1296h, {6,12}*1296i, {18,4}*1296b, {6,4}*1296a, {6,12}*1296j, {6,12}*1296k, {6,12}*1296l, {6,12}*1296m, {6,12}*1296n, {6,36}*1296m, {6,12}*1296o, {6,36}*1296n, {6,36}*1296o, {6,12}*1296s, {6,12}*1296t, {6,12}*1296u
82-fold covers : {4,164}*1312, {164,4}*1312, {82,8}*1312, {2,328}*1312
83-fold covers : {166,4}*1328, {2,332}*1328
84-fold covers : {14,48}*1344, {6,112}*1344, {12,28}*1344a, {28,12}*1344a, {24,28}*1344a, {28,24}*1344a, {12,56}*1344a, {56,12}*1344a, {24,28}*1344b, {28,24}*1344b, {12,56}*1344b, {56,12}*1344b, {4,168}*1344a, {168,4}*1344a, {4,84}*1344a, {84,4}*1344a, {4,168}*1344b, {168,4}*1344b, {8,84}*1344a, {84,8}*1344a, {8,84}*1344b, {84,8}*1344b, {2,336}*1344, {42,16}*1344, {28,12}*1344b, {6,28}*1344e, {6,84}*1344a, {42,12}*1344b, {4,84}*1344b, {42,4}*1344b
85-fold covers : {34,20}*1360, {10,68}*1360, {2,340}*1360, {170,4}*1360
86-fold covers : {4,172}*1376, {172,4}*1376, {86,8}*1376, {2,344}*1376
87-fold covers : {58,12}*1392, {6,116}*1392a, {2,348}*1392, {174,4}*1392a
88-fold covers : {8,44}*1408a, {44,8}*1408a, {4,88}*1408a, {88,4}*1408a, {8,88}*1408a, {88,8}*1408a, {8,88}*1408b, {8,88}*1408c, {88,8}*1408b, {88,8}*1408c, {8,88}*1408d, {88,8}*1408d, {16,44}*1408a, {44,16}*1408a, {4,176}*1408a, {176,4}*1408a, {16,44}*1408b, {44,16}*1408b, {4,176}*1408b, {176,4}*1408b, {4,44}*1408, {4,88}*1408b, {44,4}*1408, {88,4}*1408b, {8,44}*1408b, {44,8}*1408b, {22,32}*1408, {2,352}*1408
89-fold covers : {178,4}*1424, {2,356}*1424
90-fold covers : {10,72}*1440, {18,40}*1440, {20,36}*1440, {36,20}*1440, {4,180}*1440a, {180,4}*1440a, {2,360}*1440, {90,8}*1440, {6,120}*1440a, {30,24}*1440a, {12,60}*1440a, {60,12}*1440a, {30,24}*1440b, {6,120}*1440b, {6,120}*1440c, {12,60}*1440b, {12,60}*1440c, {60,12}*1440b, {60,12}*1440c, {30,24}*1440c, {4,20}*1440, {4,60}*1440, {20,4}*1440, {60,4}*1440, {30,8}*1440, {6,40}*1440, {12,20}*1440, {20,12}*1440
91-fold covers : {26,28}*1456, {14,52}*1456, {2,364}*1456, {182,4}*1456
92-fold covers : {8,92}*1472a, {92,8}*1472a, {4,184}*1472a, {184,4}*1472a, {8,92}*1472b, {92,8}*1472b, {4,184}*1472b, {184,4}*1472b, {4,92}*1472, {92,4}*1472, {46,16}*1472, {2,368}*1472
93-fold covers : {62,12}*1488, {6,124}*1488a, {2,372}*1488, {186,4}*1488a
94-fold covers : {4,188}*1504, {188,4}*1504, {94,8}*1504, {2,376}*1504
95-fold covers : {38,20}*1520, {10,76}*1520, {2,380}*1520, {190,4}*1520
97-fold covers : {194,4}*1552, {2,388}*1552
98-fold covers : {4,196}*1568, {196,4}*1568, {2,392}*1568, {98,8}*1568, {14,56}*1568a, {14,56}*1568b, {28,28}*1568a, {28,28}*1568b, {28,28}*1568c, {14,56}*1568c, {14,8}*1568a, {4,4}*1568, {4,28}*1568, {28,4}*1568, {14,8}*1568b, {14,8}*1568c
99-fold covers : {22,36}*1584, {18,44}*1584a, {2,396}*1584, {198,4}*1584a, {6,132}*1584a, {66,12}*1584a, {66,12}*1584b, {6,132}*1584b, {6,132}*1584c, {66,12}*1584c, {66,4}*1584, {6,44}*1584
100-fold covers : {4,200}*1600a, {200,4}*1600a, {4,100}*1600, {100,4}*1600, {4,200}*1600b, {200,4}*1600b, {8,100}*1600a, {100,8}*1600a, {8,100}*1600b, {100,8}*1600b, {2,400}*1600, {50,16}*1600, {10,80}*1600a, {10,80}*1600b, {20,40}*1600a, {40,20}*1600a, {20,20}*1600a, {20,20}*1600b, {20,20}*1600c, {20,40}*1600b, {40,20}*1600b, {20,40}*1600c, {20,40}*1600d, {40,20}*1600c, {40,20}*1600d, {20,40}*1600e, {20,40}*1600f, {40,20}*1600e, {40,20}*1600f, {10,80}*1600c, {10,16}*1600, {4,4}*1600, {4,20}*1600, {20,4}*1600, {8,20}*1600a, {20,8}*1600a, {4,8}*1600a, {4,40}*1600a, {8,4}*1600a, {40,4}*1600a, {4,8}*1600b, {4,40}*1600b, {8,4}*1600b, {40,4}*1600b, {8,20}*1600b, {20,8}*1600b
101-fold covers : {202,4}*1616, {2,404}*1616
102-fold covers : {34,24}*1632, {6,136}*1632, {12,68}*1632, {68,12}*1632, {4,204}*1632a, {204,4}*1632a, {2,408}*1632, {102,8}*1632
103-fold covers : {206,4}*1648, {2,412}*1648
104-fold covers : {8,52}*1664a, {52,8}*1664a, {4,104}*1664a, {104,4}*1664a, {8,104}*1664a, {104,8}*1664a, {8,104}*1664b, {8,104}*1664c, {104,8}*1664b, {104,8}*1664c, {8,104}*1664d, {104,8}*1664d, {16,52}*1664a, {52,16}*1664a, {4,208}*1664a, {208,4}*1664a, {16,52}*1664b, {52,16}*1664b, {4,208}*1664b, {208,4}*1664b, {4,52}*1664, {4,104}*1664b, {52,4}*1664, {104,4}*1664b, {8,52}*1664b, {52,8}*1664b, {26,32}*1664, {2,416}*1664
105-fold covers : {14,60}*1680, {30,28}*1680a, {42,20}*1680a, {10,84}*1680, {70,12}*1680, {6,140}*1680a, {2,420}*1680, {210,4}*1680a
106-fold covers : {4,212}*1696, {212,4}*1696, {106,8}*1696, {2,424}*1696
107-fold covers : {214,4}*1712, {2,428}*1712
108-fold covers : {4,216}*1728a, {216,4}*1728a, {4,108}*1728a, {108,4}*1728a, {4,216}*1728b, {216,4}*1728b, {8,108}*1728a, {108,8}*1728a, {8,108}*1728b, {108,8}*1728b, {2,432}*1728, {54,16}*1728, {6,144}*1728a, {6,144}*1728b, {18,48}*1728a, {6,48}*1728a, {6,48}*1728b, {24,36}*1728a, {36,24}*1728a, {12,24}*1728a, {24,12}*1728a, {12,36}*1728a, {12,36}*1728b, {36,12}*1728a, {36,12}*1728b, {12,12}*1728a, {12,12}*1728b, {12,12}*1728c, {24,36}*1728b, {36,24}*1728b, {12,24}*1728b, {24,12}*1728b, {12,72}*1728a, {12,72}*1728b, {72,12}*1728a, {72,12}*1728b, {24,36}*1728c, {36,24}*1728c, {12,24}*1728c, {12,24}*1728d, {24,12}*1728c, {24,12}*1728d, {12,72}*1728c, {12,72}*1728d, {72,12}*1728c, {72,12}*1728d, {24,36}*1728d, {36,24}*1728d, {12,24}*1728e, {12,24}*1728f, {24,12}*1728e, {24,12}*1728f, {18,48}*1728b, {6,48}*1728c, {4,108}*1728b, {54,4}*1728b, {6,16}*1728a, {6,48}*1728d, {6,48}*1728e, {4,12}*1728a, {4,12}*1728b, {12,4}*1728a, {12,4}*1728b, {12,12}*1728d, {12,12}*1728e, {12,12}*1728f, {12,12}*1728g, {8,12}*1728a, {12,8}*1728a, {12,24}*1728g, {12,24}*1728h, {24,12}*1728g, {24,12}*1728h, {4,24}*1728a, {4,24}*1728b, {8,12}*1728b, {12,8}*1728b, {12,24}*1728i, {12,24}*1728j, {24,4}*1728a, {24,4}*1728b, {24,12}*1728i, {24,12}*1728j, {4,24}*1728c, {4,24}*1728d, {8,12}*1728c, {12,8}*1728c, {12,24}*1728k, {12,24}*1728l, {24,4}*1728c, {24,4}*1728d, {24,12}*1728k, {24,12}*1728l, {8,12}*1728d, {12,8}*1728d, {12,24}*1728m, {12,24}*1728n, {24,12}*1728m, {24,12}*1728n, {6,48}*1728f, {12,24}*1728o, {24,12}*1728o, {12,24}*1728p, {24,12}*1728p, {12,12}*1728h, {36,12}*1728c, {6,36}*1728a, {6,36}*1728b, {18,12}*1728b, {12,36}*1728e, {12,36}*1728f, {18,12}*1728c, {12,12}*1728k, {12,12}*1728l, {6,12}*1728a, {6,12}*1728b, {18,12}*1728d, {6,12}*1728e, {6,12}*1728f, {4,24}*1728e, {4,24}*1728f, {24,4}*1728e, {24,4}*1728f, {8,12}*1728e, {12,8}*1728e, {12,24}*1728q, {24,12}*1728q, {4,24}*1728g, {4,24}*1728h, {24,4}*1728g, {24,4}*1728h, {8,12}*1728f, {12,8}*1728f, {12,24}*1728r, {24,12}*1728r, {6,16}*1728b, {6,48}*1728g, {8,12}*1728g, {12,8}*1728g, {12,24}*1728s, {24,12}*1728s, {8,12}*1728h, {12,8}*1728h, {12,24}*1728t, {24,12}*1728t, {4,12}*1728c, {4,12}*1728d, {12,4}*1728c, {12,4}*1728d, {12,12}*1728q, {12,12}*1728r, {6,48}*1728h, {12,12}*1728s, {12,12}*1728t, {12,24}*1728u, {24,12}*1728u, {12,24}*1728v, {24,12}*1728v, {12,24}*1728w, {24,12}*1728w, {12,24}*1728x, {24,12}*1728x, {12,12}*1728w, {6,12}*1728h, {6,12}*1728i, {6,4}*1728, {6,12}*1728j, {12,12}*1728ab
109-fold covers : {218,4}*1744, {2,436}*1744
110-fold covers : {22,40}*1760, {10,88}*1760, {20,44}*1760, {44,20}*1760, {4,220}*1760, {220,4}*1760, {2,440}*1760, {110,8}*1760
111-fold covers : {74,12}*1776, {6,148}*1776a, {2,444}*1776, {222,4}*1776a
112-fold covers : {8,56}*1792a, {56,8}*1792a, {8,28}*1792a, {8,56}*1792b, {28,8}*1792a, {56,8}*1792b, {4,56}*1792a, {56,4}*1792a, {8,56}*1792c, {56,8}*1792c, {8,56}*1792d, {56,8}*1792d, {16,28}*1792a, {28,16}*1792a, {4,112}*1792a, {112,4}*1792a, {16,28}*1792b, {28,16}*1792b, {4,112}*1792b, {112,4}*1792b, {8,112}*1792a, {112,8}*1792a, {16,56}*1792a, {56,16}*1792a, {8,112}*1792b, {112,8}*1792b, {16,56}*1792b, {56,16}*1792b, {16,56}*1792c, {56,16}*1792c, {8,112}*1792c, {8,112}*1792d, {112,8}*1792c, {112,8}*1792d, {16,56}*1792d, {56,16}*1792d, {16,56}*1792e, {56,16}*1792e, {8,112}*1792e, {8,112}*1792f, {112,8}*1792e, {112,8}*1792f, {16,56}*1792f, {56,16}*1792f, {28,32}*1792a, {32,28}*1792a, {4,224}*1792a, {224,4}*1792a, {28,32}*1792b, {32,28}*1792b, {4,224}*1792b, {224,4}*1792b, {4,28}*1792, {4,56}*1792b, {28,4}*1792, {56,4}*1792b, {8,28}*1792b, {28,8}*1792b, {8,28}*1792c, {8,56}*1792e, {28,8}*1792c, {56,8}*1792e, {4,56}*1792c, {4,56}*1792d, {56,4}*1792c, {56,4}*1792d, {8,28}*1792d, {8,56}*1792f, {28,8}*1792d, {56,8}*1792f, {8,56}*1792g, {56,8}*1792g, {8,56}*1792h, {56,8}*1792h, {14,64}*1792, {2,448}*1792
113-fold covers : {226,4}*1808, {2,452}*1808
114-fold covers : {38,24}*1824, {6,152}*1824, {12,76}*1824, {76,12}*1824, {4,228}*1824a, {228,4}*1824a, {2,456}*1824, {114,8}*1824
115-fold covers : {46,20}*1840, {10,92}*1840, {2,460}*1840, {230,4}*1840
116-fold covers : {8,116}*1856a, {116,8}*1856a, {4,232}*1856a, {232,4}*1856a, {8,116}*1856b, {116,8}*1856b, {4,232}*1856b, {232,4}*1856b, {4,116}*1856, {116,4}*1856, {58,16}*1856, {2,464}*1856
117-fold covers : {26,36}*1872, {18,52}*1872a, {2,468}*1872, {234,4}*1872a, {6,156}*1872a, {78,12}*1872a, {78,12}*1872b, {6,156}*1872b, {6,156}*1872c, {78,12}*1872c, {78,4}*1872, {6,52}*1872
118-fold covers : {4,236}*1888, {236,4}*1888, {118,8}*1888, {2,472}*1888
119-fold covers : {34,28}*1904, {14,68}*1904, {2,476}*1904, {238,4}*1904
120-fold covers : {8,60}*1920a, {60,8}*1920a, {4,120}*1920a, {120,4}*1920a, {12,40}*1920a, {40,12}*1920a, {20,24}*1920a, {24,20}*1920a, {8,120}*1920a, {120,8}*1920a, {8,120}*1920b, {8,120}*1920c, {120,8}*1920b, {120,8}*1920c, {24,40}*1920a, {40,24}*1920a, {24,40}*1920b, {40,24}*1920b, {24,40}*1920c, {40,24}*1920c, {8,120}*1920d, {120,8}*1920d, {24,40}*1920d, {40,24}*1920d, {16,60}*1920a, {60,16}*1920a, {4,240}*1920a, {240,4}*1920a, {12,80}*1920a, {80,12}*1920a, {20,48}*1920a, {48,20}*1920a, {16,60}*1920b, {60,16}*1920b, {4,240}*1920b, {240,4}*1920b, {12,80}*1920b, {80,12}*1920b, {20,48}*1920b, {48,20}*1920b, {4,60}*1920a, {4,120}*1920b, {60,4}*1920a, {120,4}*1920b, {8,60}*1920b, {60,8}*1920b, {12,40}*1920b, {40,12}*1920b, {20,24}*1920b, {24,20}*1920b, {12,20}*1920a, {20,12}*1920a, {30,32}*1920, {2,480}*1920, {10,96}*1920, {6,160}*1920, {40,12}*1920e, {40,12}*1920f, {12,60}*1920b, {6,40}*1920b, {6,60}*1920, {20,24}*1920c, {20,24}*1920d, {6,40}*1920d, {6,120}*1920a, {6,20}*1920b, {6,120}*1920b, {12,20}*1920b, {12,20}*1920c, {12,60}*1920c, {20,12}*1920c, {60,12}*1920c, {30,24}*1920a, {30,12}*1920, {60,12}*1920d, {30,24}*1920b, {4,60}*1920d, {60,4}*1920d, {8,60}*1920e, {8,60}*1920f, {30,8}*1920f, {4,120}*1920c, {4,120}*1920d, {30,8}*1920g, {60,4}*1920e, {30,4}*1920b, {4,12}*1920a, {4,20}*1920a, {12,4}*1920a, {12,20}*1920f, {20,4}*1920a, {20,12}*1920f, {12,12}*1920a, {12,20}*1920g, {20,12}*1920g, {20,20}*1920a, {6,24}*1920a, {10,8}*1920a, {10,24}*1920c, {4,24}*1920a, {4,40}*1920a, {6,8}*1920a, {6,40}*1920e, {6,40}*1920f, {10,24}*1920d, {10,40}*1920a, {4,24}*1920b, {4,40}*1920b, {10,8}*1920b, {10,12}*1920b, {6,12}*1920a, {20,12}*1920h, {12,12}*1920d, {6,24}*1920b, {20,4}*1920b, {10,4}*1920, {10,24}*1920e, {8,12}*1920c, {8,20}*1920a, {12,20}*1920i, {6,8}*1920b, {6,20}*1920c, {8,12}*1920d, {8,20}*1920d, {12,4}*1920b, {6,4}*1920, {6,40}*1920g, {6,20}*1920d, {10,12}*1920c, {10,20}*1920, {12,20}*1920k, {20,12}*1920k, {20,20}*1920b, {6,40}*1920h, {10,24}*1920f, {10,40}*1920b
121-fold covers : {2,484}*1936, {242,4}*1936, {22,44}*1936a, {22,44}*1936b, {22,44}*1936c, {22,4}*1936
122-fold covers : {4,244}*1952, {244,4}*1952, {122,8}*1952, {2,488}*1952
123-fold covers : {82,12}*1968, {6,164}*1968a, {2,492}*1968, {246,4}*1968a
124-fold covers : {8,124}*1984a, {124,8}*1984a, {4,248}*1984a, {248,4}*1984a, {8,124}*1984b, {124,8}*1984b, {4,248}*1984b, {248,4}*1984b, {4,124}*1984, {124,4}*1984, {62,16}*1984, {2,496}*1984
125-fold covers : {2,500}*2000, {250,4}*2000, {50,20}*2000a, {10,100}*2000a, {10,100}*2000b, {10,20}*2000a, {10,20}*2000b, {50,20}*2000b, {10,20}*2000c, {10,4}*2000a, {10,20}*2000d, {10,20}*2000e, {10,20}*2000f, {10,20}*2000g, {10,20}*2000h, {10,4}*2000b, {10,20}*2000i, {10,20}*2000j
Permutation Representation (GAP) :
s0 := (1,2);;
s1 := (4,5);;
s2 := (3,4)(5,6);;
poly := Group([s0,s1,s2]);;
Finitely Presented Group Representation (GAP) :
F := FreeGroup("s0","s1","s2");;
s0 := F.1;; s1 := F.2;; s2 := F.3;;
rels := [ s0*s0, s1*s1, s2*s2, s0*s1*s0*s1, s0*s2*s0*s2,
s1*s2*s1*s2*s1*s2*s1*s2 ];;
poly := F / rels;;
Permutation Representation (Magma) :
s0 := Sym(6)!(1,2);
s1 := Sym(6)!(4,5);
s2 := Sym(6)!(3,4)(5,6);
poly := sub<Sym(6)|s0,s1,s2>;
Finitely Presented Group Representation (Magma) :
poly<s0,s1,s2> := Group< s0,s1,s2 | s0*s0, s1*s1, s2*s2,
s0*s1*s0*s1, s0*s2*s0*s2, s1*s2*s1*s2*s1*s2*s1*s2 >;
to this polytope