Polytope of Type {6}

This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {6}*12
Also Known As : hexagon, {6}. if this polytope has another name.
Group : SmallGroup(12,4)
Rank : 2
Schlafli Type : {6}
Number of vertices, edges, etc : 6, 6
Order of s0s1 : 6
Special Properties :
   Universal
   Spherical
   Locally Spherical
   Orientable
   Self-Dual
Related Polytopes :
   Facet
   Vertex Figure
   Dual
Facet Of :
   {6,2} of size 24
   {6,3} of size 36
   {6,4} of size 48
   {6,3} of size 48
   {6,4} of size 48
   {6,4} of size 48
   {6,4} of size 72
   {6,6} of size 72
   {6,6} of size 72
   {6,6} of size 72
   {6,8} of size 96
   {6,4} of size 96
   {6,6} of size 96
   {6,9} of size 108
   {6,3} of size 108
   {6,6} of size 108
   {6,4} of size 120
   {6,5} of size 120
   {6,6} of size 120
   {6,5} of size 120
   {6,5} of size 120
   {6,10} of size 120
   {6,12} of size 144
   {6,12} of size 144
   {6,12} of size 144
   {6,3} of size 144
   {6,12} of size 144
   {6,4} of size 144
   {6,14} of size 168
   {6,15} of size 180
   {6,16} of size 192
   {6,4} of size 192
   {6,6} of size 192
   {6,3} of size 192
   {6,8} of size 192
   {6,4} of size 192
   {6,12} of size 192
   {6,8} of size 192
   {6,12} of size 192
   {6,6} of size 192
   {6,8} of size 192
   {6,4} of size 216
   {6,12} of size 216
   {6,12} of size 216
   {6,18} of size 216
   {6,18} of size 216
   {6,6} of size 216
   {6,6} of size 216
   {6,6} of size 216
   {6,12} of size 216
   {6,6} of size 216
   {6,20} of size 240
   {6,4} of size 240
   {6,4} of size 240
   {6,4} of size 240
   {6,5} of size 240
   {6,6} of size 240
   {6,6} of size 240
   {6,6} of size 240
   {6,10} of size 240
   {6,10} of size 240
   {6,5} of size 240
   {6,10} of size 240
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   {6,10} of size 240
   {6,10} of size 240
   {6,15} of size 240
   {6,20} of size 240
   {6,21} of size 252
   {6,22} of size 264
   {6,24} of size 288
   {6,24} of size 288
   {6,24} of size 288
   {6,8} of size 288
   {6,6} of size 288
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   {6,12} of size 288
   {6,12} of size 288
   {6,3} of size 300
   {6,10} of size 300
   {6,26} of size 312
   {6,9} of size 324
   {6,18} of size 324
   {6,27} of size 324
   {6,6} of size 324
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   {6,18} of size 324
   {6,3} of size 324
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   {6,28} of size 336
   {6,4} of size 336
   {6,6} of size 336
   {6,7} of size 336
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   {6,21} of size 336
   {6,28} of size 336
   {6,15} of size 360
   {6,20} of size 360
   {6,30} of size 360
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   {6,32} of size 384
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   {6,6} of size 384
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   {6,33} of size 396
   {6,34} of size 408
   {6,36} of size 432
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   {6,12} of size 432
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   {6,38} of size 456
   {6,39} of size 468
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   {6,44} of size 528
   {6,33} of size 528
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   {6,45} of size 540
   {6,15} of size 540
   {6,30} of size 540
   {6,46} of size 552
   {6,48} of size 576
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   {6,52} of size 624
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   {6,18} of size 648
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   {6,18} of size 648
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   {6,6} of size 648
   {6,6} of size 648
   {6,18} of size 648
   {6,18} of size 648
   {6,36} of size 648
   {6,12} of size 648
   {6,36} of size 648
   {6,36} of size 648
   {6,18} of size 648
   {6,6} of size 648
   {6,6} of size 648
   {6,6} of size 648
   {6,5} of size 660
   {6,6} of size 660
   {6,56} of size 672
   {6,4} of size 672
   {6,4} of size 672
   {6,4} of size 672
   {6,6} of size 672
   {6,6} of size 672
   {6,6} of size 672
   {6,7} of size 672
   {6,7} of size 672
   {6,8} of size 672
   {6,8} of size 672
   {6,8} of size 672
   {6,8} of size 672
   {6,8} of size 672
   {6,8} of size 672
   {6,8} of size 672
   {6,8} of size 672
   {6,8} of size 672
   {6,8} of size 672
   {6,14} of size 672
   {6,14} of size 672
   {6,28} of size 672
   {6,42} of size 672
   {6,57} of size 684
   {6,58} of size 696
   {6,60} of size 720
   {6,60} of size 720
   {6,60} of size 720
   {6,5} of size 720
   {6,6} of size 720
   {6,4} of size 720
   {6,6} of size 720
   {6,6} of size 720
   {6,6} of size 720
   {6,10} of size 720
   {6,12} of size 720
   {6,12} of size 720
   {6,15} of size 720
   {6,15} of size 720
   {6,10} of size 720
   {6,10} of size 720
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   {6,30} of size 720
   {6,30} of size 720
   {6,15} of size 720
   {6,60} of size 720
   {6,20} of size 720
   {6,62} of size 744
   {6,63} of size 756
   {6,21} of size 756
   {6,42} of size 756
   {6,64} of size 768
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   {6,6} of size 768
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   {6,8} of size 768
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   {6,24} of size 768
   {6,4} of size 768
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   {6,12} of size 768
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   {6,6} of size 768
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   {6,4} of size 768
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   {6,44} of size 792
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   {6,66} of size 792
   {6,68} of size 816
   {6,51} of size 816
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   {6,69} of size 828
   {6,35} of size 840
   {6,70} of size 840
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   {6,24} of size 864
   {6,24} of size 864
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   {6,8} of size 864
   {6,24} of size 864
   {6,24} of size 864
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   {6,18} of size 864
   {6,36} of size 864
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   {6,24} of size 864
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   {6,12} of size 864
   {6,74} of size 888
   {6,75} of size 900
   {6,3} of size 900
   {6,30} of size 900
   {6,76} of size 912
   {6,57} of size 912
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   {6,6} of size 960
   {8,6} of size 960
   {12,6} of size 960
   {20,6} of size 960
   {12,6} of size 960
   {20,6} of size 960
   {20,6} of size 960
   {10,6} of size 960
   {20,6} of size 960
   {60,6} of size 960
   {30,6} of size 960
   {40,6} of size 960
   {40,6} of size 960
   {60,6} of size 960
   {5,6} of size 960
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   {9,6} of size 972
   {9,6} of size 972
   {18,6} of size 972
   {9,6} of size 972
   {18,6} of size 972
   {27,6} of size 972
   {54,6} of size 972
   {9,6} of size 972
   {18,6} of size 972
   {9,6} of size 972
   {18,6} of size 972
   {27,6} of size 972
   {54,6} of size 972
   {27,6} of size 972
   {54,6} of size 972
   {81,6} of size 972
   {3,6} of size 972
   {18,6} of size 972
   {82,6} of size 984
   {84,6} of size 1008
   {84,6} of size 1008
   {84,6} of size 1008
   {7,6} of size 1008
   {7,6} of size 1008
   {9,6} of size 1008
   {9,6} of size 1008
   {21,6} of size 1008
   {21,6} of size 1008
   {84,6} of size 1008
   {28,6} of size 1008
   {86,6} of size 1032
   {87,6} of size 1044
   {88,6} of size 1056
   {44,6} of size 1056
   {66,6} of size 1056
   {45,6} of size 1080
   {20,6} of size 1080
   {60,6} of size 1080
   {60,6} of size 1080
   {30,6} of size 1080
   {90,6} of size 1080
   {90,6} of size 1080
   {30,6} of size 1080
   {30,6} of size 1080
   {60,6} of size 1080
   {30,6} of size 1080
   {7,6} of size 1092
   {13,6} of size 1092
   {92,6} of size 1104
   {69,6} of size 1104
   {92,6} of size 1104
   {93,6} of size 1116
   {94,6} of size 1128
   {96,6} of size 1152
   {96,6} of size 1152
   {96,6} of size 1152
   {32,6} of size 1152
   {24,6} of size 1152
   {6,6} of size 1152
   {6,6} of size 1152
   {24,6} of size 1152
   {24,6} of size 1152
   {12,6} of size 1152
   {24,6} of size 1152
   {6,6} of size 1152
   {6,6} of size 1152
   {12,6} of size 1152
   {12,6} of size 1152
   {6,6} of size 1152
   {6,6} of size 1152
   {24,6} of size 1152
   {24,6} of size 1152
   {24,6} of size 1152
   {24,6} of size 1152
   {12,6} of size 1152
   {24,6} of size 1152
   {24,6} of size 1152
   {24,6} of size 1152
   {12,6} of size 1152
   {24,6} of size 1152
   {12,6} of size 1152
   {24,6} of size 1152
   {12,6} of size 1152
   {6,6} of size 1152
   {6,6} of size 1152
   {12,6} of size 1152
   {12,6} of size 1152
   {4,6} of size 1152
   {8,6} of size 1152
   {8,6} of size 1152
   {8,6} of size 1152
   {12,6} of size 1152
   {6,6} of size 1152
   {6,6} of size 1152
   {6,6} of size 1152
   {98,6} of size 1176
   {6,6} of size 1176
   {6,6} of size 1176
   {14,6} of size 1176
   {14,6} of size 1176
   {99,6} of size 1188
   {33,6} of size 1188
   {66,6} of size 1188
   {100,6} of size 1200
   {75,6} of size 1200
   {100,6} of size 1200
   {12,6} of size 1200
   {20,6} of size 1200
   {12,6} of size 1200
   {20,6} of size 1200
   {5,6} of size 1200
   {20,6} of size 1200
   {30,6} of size 1200
   {5,6} of size 1200
   {10,6} of size 1200
   {10,6} of size 1200
   {3,6} of size 1200
   {20,6} of size 1200
   {68,6} of size 1224
   {102,6} of size 1224
   {102,6} of size 1224
   {102,6} of size 1224
   {104,6} of size 1248
   {52,6} of size 1248
   {78,6} of size 1248
   {105,6} of size 1260
   {106,6} of size 1272
   {36,6} of size 1296
   {36,6} of size 1296
   {108,6} of size 1296
   {108,6} of size 1296
   {12,6} of size 1296
   {36,6} of size 1296
   {12,6} of size 1296
   {36,6} of size 1296
   {36,6} of size 1296
   {36,6} of size 1296
   {12,6} of size 1296
   {36,6} of size 1296
   {12,6} of size 1296
   {36,6} of size 1296
   {27,6} of size 1296
   {108,6} of size 1296
   {9,6} of size 1296
   {36,6} of size 1296
   {3,6} of size 1296
   {36,6} of size 1296
   {9,6} of size 1296
   {36,6} of size 1296
   {9,6} of size 1296
   {12,6} of size 1296
   {9,6} of size 1296
   {12,6} of size 1296
   {36,6} of size 1296
   {12,6} of size 1296
   {12,6} of size 1296
   {12,6} of size 1296
   {4,6} of size 1296
   {12,6} of size 1296
   {12,6} of size 1296
   {12,6} of size 1296
   {12,6} of size 1296
   {12,6} of size 1296
   {36,6} of size 1296
   {12,6} of size 1296
   {36,6} of size 1296
   {36,6} of size 1296
   {4,6} of size 1296
   {4,6} of size 1296
   {6,6} of size 1296
   {6,6} of size 1296
   {9,6} of size 1296
   {12,6} of size 1296
   {9,6} of size 1296
   {12,6} of size 1296
   {12,6} of size 1296
   {8,6} of size 1296
   {12,6} of size 1296
   {12,6} of size 1296
   {12,6} of size 1296
   {4,6} of size 1320
   {5,6} of size 1320
   {10,6} of size 1320
   {10,6} of size 1320
   {11,6} of size 1320
   {12,6} of size 1320
   {12,6} of size 1320
   {5,6} of size 1320
   {5,6} of size 1320
   {5,6} of size 1320
   {6,6} of size 1320
   {6,6} of size 1320
   {6,6} of size 1320
   {6,6} of size 1320
   {6,6} of size 1320
   {6,6} of size 1320
   {6,6} of size 1320
   {10,6} of size 1320
   {10,6} of size 1320
   {10,6} of size 1320
   {10,6} of size 1320
   {55,6} of size 1320
   {110,6} of size 1320
   {111,6} of size 1332
   {112,6} of size 1344
   {21,6} of size 1344
   {56,6} of size 1344
   {28,6} of size 1344
   {28,6} of size 1344
   {7,6} of size 1344
   {8,6} of size 1344
   {8,6} of size 1344
   {14,6} of size 1344
   {16,6} of size 1344
   {16,6} of size 1344
   {28,6} of size 1344
   {28,6} of size 1344
   {8,6} of size 1344
   {8,6} of size 1344
   {8,6} of size 1344
   {8,6} of size 1344
   {12,6} of size 1344
   {12,6} of size 1344
   {28,6} of size 1344
   {84,6} of size 1344
   {42,6} of size 1344
   {56,6} of size 1344
   {56,6} of size 1344
   {84,6} of size 1344
   {4,6} of size 1344
   {6,6} of size 1344
   {8,6} of size 1344
   {8,6} of size 1344
   {8,6} of size 1344
   {8,6} of size 1344
   {14,6} of size 1344
   {14,6} of size 1344
   {76,6} of size 1368
   {114,6} of size 1368
   {114,6} of size 1368
   {114,6} of size 1368
   {116,6} of size 1392
   {87,6} of size 1392
   {116,6} of size 1392
   {117,6} of size 1404
   {39,6} of size 1404
   {78,6} of size 1404
   {118,6} of size 1416
   {120,6} of size 1440
   {120,6} of size 1440
   {120,6} of size 1440
   {12,6} of size 1440
   {12,6} of size 1440
   {8,6} of size 1440
   {8,6} of size 1440
   {15,6} of size 1440
   {15,6} of size 1440
   {24,6} of size 1440
   {24,6} of size 1440
   {30,6} of size 1440
   {30,6} of size 1440
   {60,6} of size 1440
   {60,6} of size 1440
   {40,6} of size 1440
   {4,6} of size 1440
   {8,6} of size 1440
   {5,6} of size 1440
   {6,6} of size 1440
   {6,6} of size 1440
   {6,6} of size 1440
   {10,6} of size 1440
   {10,6} of size 1440
   {8,6} of size 1440
   {8,6} of size 1440
   {10,6} of size 1440
   {10,6} of size 1440
   {4,6} of size 1440
   {6,6} of size 1440
   {6,6} of size 1440
   {6,6} of size 1440
   {10,6} of size 1440
   {12,6} of size 1440
   {12,6} of size 1440
   {30,6} of size 1440
   {30,6} of size 1440
   {10,6} of size 1440
   {30,6} of size 1440
   {30,6} of size 1440
   {30,6} of size 1440
   {60,6} of size 1440
   {30,6} of size 1440
   {60,6} of size 1440
   {3,6} of size 1452
   {22,6} of size 1452
   {122,6} of size 1464
   {123,6} of size 1476
   {124,6} of size 1488
   {93,6} of size 1488
   {124,6} of size 1488
   {10,6} of size 1500
   {15,6} of size 1500
   {10,6} of size 1500
   {15,6} of size 1500
   {28,6} of size 1512
   {84,6} of size 1512
   {84,6} of size 1512
   {42,6} of size 1512
   {126,6} of size 1512
   {126,6} of size 1512
   {42,6} of size 1512
   {42,6} of size 1512
   {84,6} of size 1512
   {42,6} of size 1512
   {129,6} of size 1548
   {65,6} of size 1560
   {130,6} of size 1560
   {132,6} of size 1584
   {132,6} of size 1584
   {132,6} of size 1584
   {33,6} of size 1584
   {132,6} of size 1584
   {44,6} of size 1584
   {134,6} of size 1608
   {45,6} of size 1620
   {90,6} of size 1620
   {135,6} of size 1620
   {30,6} of size 1620
   {45,6} of size 1620
   {30,6} of size 1620
   {45,6} of size 1620
   {45,6} of size 1620
   {90,6} of size 1620
   {15,6} of size 1620
   {90,6} of size 1620
   {5,6} of size 1620
   {10,6} of size 1620
   {136,6} of size 1632
   {68,6} of size 1632
   {102,6} of size 1632
   {92,6} of size 1656
   {138,6} of size 1656
   {138,6} of size 1656
   {138,6} of size 1656
   {140,6} of size 1680
   {35,6} of size 1680
   {28,6} of size 1680
   {35,6} of size 1680
   {42,6} of size 1680
   {35,6} of size 1680
   {70,6} of size 1680
   {70,6} of size 1680
   {105,6} of size 1680
   {140,6} of size 1680
   {141,6} of size 1692
   {142,6} of size 1704
   {144,6} of size 1728
   {144,6} of size 1728
   {48,6} of size 1728
   {48,6} of size 1728
   {48,6} of size 1728
   {9,6} of size 1728
   {72,6} of size 1728
   {3,6} of size 1728
   {24,6} of size 1728
   {16,6} of size 1728
   {48,6} of size 1728
   {48,6} of size 1728
   {48,6} of size 1728
   {36,6} of size 1728
   {36,6} of size 1728
   {18,6} of size 1728
   {72,6} of size 1728
   {36,6} of size 1728
   {72,6} of size 1728
   {12,6} of size 1728
   {12,6} of size 1728
   {12,6} of size 1728
   {24,6} of size 1728
   {6,6} of size 1728
   {6,6} of size 1728
   {24,6} of size 1728
   {24,6} of size 1728
   {12,6} of size 1728
   {24,6} of size 1728
   {12,6} of size 1728
   {12,6} of size 1728
   {16,6} of size 1728
   {48,6} of size 1728
   {48,6} of size 1728
   {18,6} of size 1728
   {18,6} of size 1728
   {6,6} of size 1728
   {6,6} of size 1728
   {6,6} of size 1728
   {12,6} of size 1728
   {24,6} of size 1728
   {6,6} of size 1728
   {24,6} of size 1728
   {12,6} of size 1728
   {12,6} of size 1728
   {4,6} of size 1728
   {12,6} of size 1728
   {146,6} of size 1752
   {147,6} of size 1764
   {3,6} of size 1764
   {42,6} of size 1764
   {148,6} of size 1776
   {111,6} of size 1776
   {148,6} of size 1776
   {100,6} of size 1800
   {150,6} of size 1800
   {150,6} of size 1800
   {150,6} of size 1800
   {15,6} of size 1800
   {6,6} of size 1800
   {6,6} of size 1800
   {30,6} of size 1800
   {30,6} of size 1800
   {6,6} of size 1800
   {6,6} of size 1800
   {30,6} of size 1800
   {30,6} of size 1800
   {152,6} of size 1824
   {76,6} of size 1824
   {114,6} of size 1824
   {153,6} of size 1836
   {51,6} of size 1836
   {102,6} of size 1836
   {154,6} of size 1848
   {156,6} of size 1872
   {156,6} of size 1872
   {156,6} of size 1872
   {39,6} of size 1872
   {156,6} of size 1872
   {52,6} of size 1872
   {158,6} of size 1896
   {159,6} of size 1908
   {160,6} of size 1920
   {30,6} of size 1920
   {40,6} of size 1920
   {40,6} of size 1920
   {60,6} of size 1920
   {20,6} of size 1920
   {30,6} of size 1920
   {30,6} of size 1920
   {40,6} of size 1920
   {40,6} of size 1920
   {120,6} of size 1920
   {20,6} of size 1920
   {120,6} of size 1920
   {48,6} of size 1920
   {48,6} of size 1920
   {80,6} of size 1920
   {80,6} of size 1920
   {24,6} of size 1920
   {8,6} of size 1920
   {40,6} of size 1920
   {40,6} of size 1920
   {48,6} of size 1920
   {48,6} of size 1920
   {12,6} of size 1920
   {24,6} of size 1920
   {8,6} of size 1920
   {20,6} of size 1920
   {4,6} of size 1920
   {40,6} of size 1920
   {20,6} of size 1920
   {40,6} of size 1920
   {6,6} of size 1920
   {10,6} of size 1920
   {5,6} of size 1920
   {8,6} of size 1920
   {12,6} of size 1920
   {5,6} of size 1920
   {5,6} of size 1920
   {5,6} of size 1920
   {10,6} of size 1920
   {10,6} of size 1920
   {10,6} of size 1920
   {10,6} of size 1920
   {4,6} of size 1944
   {12,6} of size 1944
   {12,6} of size 1944
   {6,6} of size 1944
   {18,6} of size 1944
   {18,6} of size 1944
   {18,6} of size 1944
   {18,6} of size 1944
   {18,6} of size 1944
   {18,6} of size 1944
   {54,6} of size 1944
   {54,6} of size 1944
   {18,6} of size 1944
   {18,6} of size 1944
   {18,6} of size 1944
   {18,6} of size 1944
   {54,6} of size 1944
   {54,6} of size 1944
   {54,6} of size 1944
   {54,6} of size 1944
   {162,6} of size 1944
   {162,6} of size 1944
   {6,6} of size 1944
   {6,6} of size 1944
   {18,6} of size 1944
   {18,6} of size 1944
   {36,6} of size 1944
   {12,6} of size 1944
   {108,6} of size 1944
   {108,6} of size 1944
   {108,6} of size 1944
   {18,6} of size 1944
   {18,6} of size 1944
   {18,6} of size 1944
   {6,6} of size 1944
   {6,6} of size 1944
   {6,6} of size 1944
   {54,6} of size 1944
   {6,6} of size 1944
   {6,6} of size 1944
   {18,6} of size 1944
   {18,6} of size 1944
   {18,6} of size 1944
   {18,6} of size 1944
   {6,6} of size 1944
   {6,6} of size 1944
   {18,6} of size 1944
   {18,6} of size 1944
   {164,6} of size 1968
   {123,6} of size 1968
   {164,6} of size 1968
   {165,6} of size 1980
   {166,6} of size 1992
Quotients (Maximal Quotients in Boldface) :
   2-fold quotients : {3}*6
   3-fold quotients : {2}*4
Covers (Minimal Covers in Boldface) :
   2-fold covers : {12}*24
   3-fold covers : {18}*36
   4-fold covers : {24}*48
   5-fold covers : {30}*60
   6-fold covers : {36}*72
   7-fold covers : {42}*84
   8-fold covers : {48}*96
   9-fold covers : {54}*108
   10-fold covers : {60}*120
   11-fold covers : {66}*132
   12-fold covers : {72}*144
   13-fold covers : {78}*156
   14-fold covers : {84}*168
   15-fold covers : {90}*180
   16-fold covers : {96}*192
   17-fold covers : {102}*204
   18-fold covers : {108}*216
   19-fold covers : {114}*228
   20-fold covers : {120}*240
   21-fold covers : {126}*252
   22-fold covers : {132}*264
   23-fold covers : {138}*276
   24-fold covers : {144}*288
   25-fold covers : {150}*300
   26-fold covers : {156}*312
   27-fold covers : {162}*324
   28-fold covers : {168}*336
   29-fold covers : {174}*348
   30-fold covers : {180}*360
   31-fold covers : {186}*372
   32-fold covers : {192}*384
   33-fold covers : {198}*396
   34-fold covers : {204}*408
   35-fold covers : {210}*420
   36-fold covers : {216}*432
   37-fold covers : {222}*444
   38-fold covers : {228}*456
   39-fold covers : {234}*468
   40-fold covers : {240}*480
   41-fold covers : {246}*492
   42-fold covers : {252}*504
   43-fold covers : {258}*516
   44-fold covers : {264}*528
   45-fold covers : {270}*540
   46-fold covers : {276}*552
   47-fold covers : {282}*564
   48-fold covers : {288}*576
   49-fold covers : {294}*588
   50-fold covers : {300}*600
   51-fold covers : {306}*612
   52-fold covers : {312}*624
   53-fold covers : {318}*636
   54-fold covers : {324}*648
   55-fold covers : {330}*660
   56-fold covers : {336}*672
   57-fold covers : {342}*684
   58-fold covers : {348}*696
   59-fold covers : {354}*708
   60-fold covers : {360}*720
   61-fold covers : {366}*732
   62-fold covers : {372}*744
   63-fold covers : {378}*756
   64-fold covers : {384}*768
   65-fold covers : {390}*780
   66-fold covers : {396}*792
   67-fold covers : {402}*804
   68-fold covers : {408}*816
   69-fold covers : {414}*828
   70-fold covers : {420}*840
   71-fold covers : {426}*852
   72-fold covers : {432}*864
   73-fold covers : {438}*876
   74-fold covers : {444}*888
   75-fold covers : {450}*900
   76-fold covers : {456}*912
   77-fold covers : {462}*924
   78-fold covers : {468}*936
   79-fold covers : {474}*948
   80-fold covers : {480}*960
   81-fold covers : {486}*972
   82-fold covers : {492}*984
   83-fold covers : {498}*996
   84-fold covers : {504}*1008
   85-fold covers : {510}*1020
   86-fold covers : {516}*1032
   87-fold covers : {522}*1044
   88-fold covers : {528}*1056
   89-fold covers : {534}*1068
   90-fold covers : {540}*1080
   91-fold covers : {546}*1092
   92-fold covers : {552}*1104
   93-fold covers : {558}*1116
   94-fold covers : {564}*1128
   95-fold covers : {570}*1140
   96-fold covers : {576}*1152
   97-fold covers : {582}*1164
   98-fold covers : {588}*1176
   99-fold covers : {594}*1188
   100-fold covers : {600}*1200
   101-fold covers : {606}*1212
   102-fold covers : {612}*1224
   103-fold covers : {618}*1236
   104-fold covers : {624}*1248
   105-fold covers : {630}*1260
   106-fold covers : {636}*1272
   107-fold covers : {642}*1284
   108-fold covers : {648}*1296
   109-fold covers : {654}*1308
   110-fold covers : {660}*1320
   111-fold covers : {666}*1332
   112-fold covers : {672}*1344
   113-fold covers : {678}*1356
   114-fold covers : {684}*1368
   115-fold covers : {690}*1380
   116-fold covers : {696}*1392
   117-fold covers : {702}*1404
   118-fold covers : {708}*1416
   119-fold covers : {714}*1428
   120-fold covers : {720}*1440
   121-fold covers : {726}*1452
   122-fold covers : {732}*1464
   123-fold covers : {738}*1476
   124-fold covers : {744}*1488
   125-fold covers : {750}*1500
   126-fold covers : {756}*1512
   127-fold covers : {762}*1524
   129-fold covers : {774}*1548
   130-fold covers : {780}*1560
   131-fold covers : {786}*1572
   132-fold covers : {792}*1584
   133-fold covers : {798}*1596
   134-fold covers : {804}*1608
   135-fold covers : {810}*1620
   136-fold covers : {816}*1632
   137-fold covers : {822}*1644
   138-fold covers : {828}*1656
   139-fold covers : {834}*1668
   140-fold covers : {840}*1680
   141-fold covers : {846}*1692
   142-fold covers : {852}*1704
   143-fold covers : {858}*1716
   144-fold covers : {864}*1728
   145-fold covers : {870}*1740
   146-fold covers : {876}*1752
   147-fold covers : {882}*1764
   148-fold covers : {888}*1776
   149-fold covers : {894}*1788
   150-fold covers : {900}*1800
   151-fold covers : {906}*1812
   152-fold covers : {912}*1824
   153-fold covers : {918}*1836
   154-fold covers : {924}*1848
   155-fold covers : {930}*1860
   156-fold covers : {936}*1872
   157-fold covers : {942}*1884
   158-fold covers : {948}*1896
   159-fold covers : {954}*1908
   160-fold covers : {960}*1920
   161-fold covers : {966}*1932
   162-fold covers : {972}*1944
   163-fold covers : {978}*1956
   164-fold covers : {984}*1968
   165-fold covers : {990}*1980
   166-fold covers : {996}*1992
Permutation Representation (GAP) :
s0 := (3,4)(5,6);;
s1 := (1,5)(2,3)(4,6);;
poly := Group([s0,s1]);;
 
Finitely Presented Group Representation (GAP) :
F := FreeGroup("s0","s1");;
s0 := F.1;;  s1 := F.2;;  
rels := [ s0*s0, s1*s1, s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1 ];;
poly := F / rels;;
 
Permutation Representation (Magma) :
s0 := Sym(6)!(3,4)(5,6);
s1 := Sym(6)!(1,5)(2,3)(4,6);
poly := sub<Sym(6)|s0,s1>;
 
Finitely Presented Group Representation (Magma) :
poly<s0,s1> := Group< s0,s1 | s0*s0, s1*s1, s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1 >; 
 
References : None.
to this polytope