G:= PermutationGroup<2160 | \[ 2, 4, 6, 8, 10, 9, 13, 1, 16, 15, 19, 21, 17, 24, 26, 3, 29, 31, 27, 34, 28, 37, 39, 30, 42, 5, 45, 47, 7, 50, 44, 53, 55, 46, 58, 60, 48, 63, 49, 66, 68, 51, 71, 73, 11, 76, 12, 79, 81, 14, 84, 86, 74, 88, 75, 91, 93, 77, 96, 78, 99, 101, 80, 104, 106, 82, 109, 83, 110, 113, 85, 116, 18, 118, 120, 20, 123, 125, 22, 128, 23, 131, 133, 25, 136, 117, 139, 119, 142, 144, 121, 147, 122, 150, 152, 124, 155, 156, 126, 159, 127, 162, 164, 129, 167, 130, 170, 172, 132, 134, 176, 178, 135, 181, 183, 137, 186, 32, 188, 33, 191, 193, 35, 196, 36, 199, 177, 38, 203, 205, 40, 208, 41, 209, 212, 43, 215, 216, 187, 219, 221, 189, 223, 190, 226, 154, 192, 229, 231, 194, 234, 195, 237, 239, 197, 198, 243, 245, 200, 248, 249, 201, 252, 202, 255, 257, 204, 260, 261, 206, 264, 207, 267, 269, 271, 210, 62, 211, 276, 278, 213, 281, 214, 284, 286, 52, 289, 54, 292, 294, 56, 296, 57, 299, 301, 59, 304, 305, 61, 308, 310, 312, 64, 315, 65, 318, 320, 67, 69, 324, 325, 70, 328, 330, 72, 288, 334, 336, 290, 339, 291, 342, 293, 345, 346, 295, 348, 350, 297, 353, 298, 356, 358, 300, 179, 362, 302, 182, 303, 366, 368, 370, 306, 373, 307, 376, 378, 309, 274, 382, 384, 311, 387, 389, 313, 392, 314, 395, 397, 316, 317, 401, 403, 319, 406, 408, 321, 411, 322, 414, 323, 417, 418, 357, 421, 326, 424, 327, 427, 429, 329, 432, 434, 331, 436, 332, 439, 441, 87, 444, 446, 89, 448, 90, 451, 92, 454, 456, 94, 459, 95, 461, 146, 97, 98, 465, 467, 100, 470, 102, 472, 103, 475, 477, 105, 480, 481, 107, 484, 108, 487, 341, 490, 111, 112, 235, 495, 114, 238, 115, 375, 501, 503, 442, 506, 443, 509, 511, 445, 514, 174, 447, 518, 520, 449, 450, 524, 452, 426, 453, 529, 531, 455, 533, 534, 457, 161, 458, 539, 541, 543, 460, 546, 548, 550, 462, 553, 463, 556, 464, 559, 561, 466, 564, 184, 468, 567, 469, 569, 571, 573, 420, 228, 471, 578, 580, 473, 583, 474, 586, 588, 476, 282, 592, 478, 285, 479, 596, 598, 599, 482, 602, 483, 605, 607, 485, 610, 486, 612, 614, 488, 616, 617, 489, 620, 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