Group : Alt(9)

Order : 181440

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Total number of polytopes : 348

Number of polytopes of rank 3 : 270

Polytopes References
[ 4 , 6 ] [ 3, 4, 5, 6 ]
[ 4 , 7 ] [ 7, 8, 9, 10 ]
[ 4 , 9 ] [ 1, 2, 11, 12, 13, 14, 15, 16 ]
[ 4 , 12 ] [ 17, 18 ]
[ 4 , 15 ] [ 19, 20, 21, 22 ]
[ 6 , 4 ] [ 230, 231, 232, 233 ]
[ 6 , 6 ] [ 27, 28, 29, 30 ]
[ 6 , 7 ] [ 31, 32, 33, 34 ]
[ 6 , 9 ] [ 23, 24, 25, 26, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48 ]
[ 6 , 10 ] [ 49, 50 ]
[ 6 , 12 ] [ 51, 52, 53, 54 ]
[ 6 , 15 ] [ 55, 56, 57, 58, 59, 60, 61, 62 ]
[ 7 , 4 ] [ 234, 235, 236, 237 ]
[ 7 , 6 ] [ 254, 255, 256, 257 ]
[ 7 , 7 ] [ 63, 64, 65, 66 ]
[ 7 , 9 ] [ 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78 ]
[ 7 , 12 ] [ 79, 80, 81, 82 ]
[ 7 , 15 ] [ 83, 84, 85, 86, 87, 88, 89, 90 ]
[ 9 , 4 ] [ 228, 229, 238, 239, 240, 241, 242, 243 ]
[ 9 , 6 ] [ 250, 251, 252, 253, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271 ]
[ 9 , 7 ] [ 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297 ]
[ 9 , 9 ] [ 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 310, 311, 312 ]
[ 9 , 10 ] [ 108, 109, 110, 111 ]
[ 9 , 12 ] [ 112, 113, 114, 115, 116, 117, 118, 119 ]
[ 9 , 15 ] [ 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139 ]
[ 10 , 6 ] [ 272, 273 ]
[ 10 , 9 ] [ 313, 314, 315, 316 ]
[ 10 , 15 ] [ 140, 141 ]
[ 12 , 4 ] [ 244, 245 ]
[ 12 , 6 ] [ 274, 275, 276, 277 ]
[ 12 , 7 ] [ 298, 299, 300, 301 ]
[ 12 , 9 ] [ 317, 318, 319, 320, 321, 322, 323, 324 ]
[ 12 , 12 ] [ 142, 143 ]
[ 12 , 15 ] [ 144, 145 ]
[ 15 , 4 ] [ 246, 247, 248, 249 ]
[ 15 , 6 ] [ 278, 279, 280, 281, 282, 283, 284, 285 ]
[ 15 , 7 ] [ 302, 303, 304, 305, 306, 307, 308, 309 ]
[ 15 , 9 ] [ 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344 ]
[ 15 , 10 ] [ 345, 346 ]
[ 15 , 12 ] [ 347, 348 ]
[ 15 , 15 ] [ 146, 147, 148, 149 ]

Number of polytopes of rank 4 : 78

Polytopes References
[ 3 , 3 , 9 ] [ 164, 165 ]
[ 3 , 4 , 7 ] [ 150, 151 ]
[ 3 , 4 , 10 ] [ 152, 153 ]
[ 3 , 6 , 5 ] [ 154, 155 ]
[ 3 , 6 , 6 ] [ 158, 159 ]
[ 3 , 6 , 7 ] [ 156, 157 ]
[ 3 , 6 , 9 ] [ 166, 167 ]
[ 3 , 7 , 7 ] [ 160, 161 ]
[ 3 , 9 , 3 ] [ 162, 163, 168, 169 ]
[ 4 , 4 , 7 ] [ 170, 171, 174, 175 ]
[ 4 , 4 , 10 ] [ 172, 173 ]
[ 5 , 4 , 7 ] [ 176, 177 ]
[ 5 , 6 , 3 ] [ 180, 183 ]
[ 5 , 6 , 6 ] [ 181, 182 ]
[ 5 , 6 , 9 ] [ 178, 179 ]
[ 6 , 3 , 9 ] [ 184, 185 ]
[ 6 , 6 , 3 ] [ 193, 194 ]
[ 6 , 6 , 5 ] [ 190, 192 ]
[ 6 , 6 , 6 ] [ 186, 187, 191, 195 ]
[ 6 , 6 , 9 ] [ 188, 189 ]
[ 7 , 3 , 7 ] [ 196, 197 ]
[ 7 , 3 , 9 ] [ 198, 199 ]
[ 7 , 4 , 3 ] [ 200, 202 ]
[ 7 , 4 , 4 ] [ 204, 205, 206, 207 ]
[ 7 , 4 , 5 ] [ 201, 203 ]
[ 7 , 6 , 3 ] [ 208, 209 ]
[ 7 , 7 , 3 ] [ 210, 211 ]
[ 9 , 3 , 3 ] [ 212, 215 ]
[ 9 , 3 , 6 ] [ 213, 216 ]
[ 9 , 3 , 7 ] [ 214, 217 ]
[ 9 , 6 , 3 ] [ 218, 222 ]
[ 9 , 6 , 5 ] [ 220, 221 ]
[ 9 , 6 , 6 ] [ 219, 223 ]
[ 10 , 4 , 3 ] [ 224, 226 ]
[ 10 , 4 , 4 ] [ 225, 227 ]