Group : PGL(2,31)

Order : 29760

Download a file containing the involutions referenced below.
Go back to the starting page of the Atlas.

Total number of polytopes : 394

Number of polytopes of rank 3 : 394

Polytopes References
{ 3 , 8 } [ 356 ]
{ 3 , 10 } [ 63, 236 ]
{ 3 , 15 } [ 368, 392 ]
{ 3 , 16 } [ 338, 344, 382 ]
{ 3 , 30 } [ 66, 124, 181, 300 ]
{ 3 , 31 } [ 391 ]
{ 3 , 32 } [ 61, 62, 64, 65, 67, 146, 164, 330 ]
{ 4 , 5 } [ 365 ]
{ 4 , 6 } [ 34 ]
{ 4 , 8 } [ 355 ]
{ 4 , 10 } [ 31, 230 ]
{ 4 , 15 } [ 353, 376 ]
{ 4 , 16 } [ 341, 380 ]
{ 4 , 30 } [ 30, 35, 183, 197 ]
{ 4 , 31 } [ 381 ]
{ 4 , 32 } [ 32, 33, 36, 37, 157, 279, 321, 333 ]
{ 5 , 5 } [ 366 ]
{ 5 , 6 } [ 100, 311 ]
{ 5 , 8 } [ 358, 367, 387 ]
{ 5 , 10 } [ 71, 222 ]
{ 5 , 15 } [ 349, 350, 372, 377 ]
{ 5 , 16 } [ 347, 363, 364 ]
{ 5 , 30 } [ 69, 74, 102, 115, 116, 182, 201, 305 ]
{ 5 , 31 } [ 362, 386 ]
{ 5 , 32 } [ 68, 70, 72, 73, 99, 101, 103, 104, 105, 145, 244, 253, 285, 318, 323, 331 ]
{ 6 , 6 } [ 306 ]
{ 6 , 8 } [ 79, 307 ]
{ 6 , 10 } [ 208, 225 ]
{ 6 , 15 } [ 5, 22, 29, 308 ]
{ 6 , 16 } [ 48, 310, 313, 315 ]
{ 6 , 30 } [ 125, 174, 193, 304 ]
{ 6 , 31 } [ 312 ]
{ 6 , 32 } [ 128, 153, 242, 268, 281, 290, 309, 314 ]
{ 8 , 8 } [ 357 ]
{ 8 , 10 } [ 95, 215, 221, 238 ]
{ 8 , 15 } [ 361, 379 ]
{ 8 , 16 } [ 337, 346, 360, 383 ]
{ 8 , 30 } [ 76, 78, 82, 93, 96, 98, 123, 204 ]
{ 8 , 31 } [ 359, 388 ]
{ 8 , 32 } [ 75, 77, 80, 81, 91, 92, 94, 97, 135, 136, 252, 263, 271, 280, 319, 327 ]
{ 10 , 10 } [ 211, 212, 228 ]
{ 10 , 15 } [ 1, 4, 18, 25, 60, 216, 219, 229 ]
{ 10 , 16 } [ 8, 38, 53, 86, 88, 220, 231, 239 ]
{ 10 , 30 } [ 106, 121, 178, 186, 191, 200, 214, 227 ]
{ 10 , 31 } [ 223, 237 ]
{ 10 , 32 } [ 138, 140, 150, 159, 207, 209, 210, 213, 217, 218, 224, 226, 232, 233, 234, 235 ]
{ 15 , 15 } [ 351, 354, 371, 373, 374 ]
{ 15 , 16 } [ 336, 343, 345, 370, 378, 385 ]
{ 15 , 30 } [ 17, 21, 23, 24, 55, 58, 176, 184, 195, 203, 299, 303 ]
{ 15 , 31 } [ 352, 369, 375, 393 ]
{ 15 , 32 } [ 2, 3, 6, 7, 16, 19, 20, 26, 27, 28, 54, 56, 57, 59, 147, 158, 160, 169, 249, 250, 257, 259, 264, 273, 277, 278, 287, 291, 293, 317, 325, 326 ]
{ 16 , 16 } [ 335, 339, 342, 389 ]
{ 16 , 30 } [ 11, 15, 39, 42, 47, 49, 52, 83, 84, 89, 122, 126, 185, 202, 301, 302 ]
{ 16 , 31 } [ 340, 348, 384, 390 ]
{ 16 , 32 } [ 9, 10, 12, 13, 14, 40, 41, 43, 44, 45, 46, 50, 51, 85, 87, 90, 137, 148, 165, 167, 246, 247, 258, 261, 266, 272, 286, 289, 292, 322, 328, 332 ]
{ 30 , 30 } [ 109, 110, 113, 118, 172, 180, 187, 194, 198, 296 ]
{ 30 , 31 } [ 114, 175, 196, 298 ]
{ 30 , 32 } [ 107, 108, 111, 112, 117, 119, 120, 127, 129, 131, 132, 154, 156, 166, 170, 171, 173, 177, 179, 188, 189, 190, 192, 199, 205, 206, 245, 265, 269, 283, 295, 297 ]
{ 31 , 31 } [ 394 ]
{ 31 , 32 } [ 144, 168, 251, 262, 276, 294, 324, 334 ]
{ 32 , 32 } [ 130, 133, 134, 139, 141, 142, 143, 149, 151, 152, 155, 161, 162, 163, 240, 241, 243, 248, 254, 255, 256, 260, 267, 270, 274, 275, 282, 284, 288, 316, 320, 329 ]