P:=PermutationGroup<660 | \[ 241, 211, 368, 328, 114, 150, 134, 176, 422, 69, 631, 461, 57, 644, 307, 404, 605, 458, 272, 366, 575, 419, 351, 265, 44, 521, 435, 56, 390, 300, 35, 486, 473, 68, 636, 343, 389, 226, 493, 163, 568, 10, 173, 618, 383, 350, 256, 483, 189, 598, 13, 147, 608, 261, 579, 229, 51, 649, 27, 139, 479, 181, 15, 142, 578, 296, 609, 199, 42, 651, 33, 119, 442, 155, 19, 122, 369, 223, 3, 219, 408, 326, 41, 355, 266, 228, 169, 430, 16, 378, 428, 329, 253, 4, 249, 449, 293, 50, 394, 301, 258, 195, 468, 20, 338, 466, 67, 298, 402, 103, 626, 97, 555, 225, 8, 498, 30, 533, 279, 621, 123, 518, 160, 182, 45, 187, 55, 263, 364, 88, 640, 82, 560, 255, 6, 530, 24, 501, 313, 615, 143, 489, 186, 156, 36, 161, 192, 11, 299, 135, 243, 124, 153, 601, 535, 178, 628, 224, 334, 121, 314, 2, 474, 507, 206, 43, 311, 325, 365, 643, 520, 557, 166, 14, 264, 115, 213, 144, 179, 571, 503, 152, 642, 254, 374, 141, 280, 1, 436, 539, 236, 52, 277, 292, 403, 629, 485, 591, 34, 29, 577, 164, 448, 86, 421, 418, 233, 587, 215, 105, 162, 641, 500, 131, 391, 379, 611, 462, 653, 91, 586, 284, 595, 544, 5, 370, 61, 204, 28, 23, 607, 190, 406, 101, 460, 446, 203, 552, 245, 90, 188, 627, 532, 111, 352, 339, 581, 423, 652, 106, 551, 318, 565, 513, 7, 330, 73, 234, 85, 323, 499, 96, 471, 304, 137, 259, 218, 492, 149, 658, 222, 75, 303, 511, 592, 583, 660, 359, 72, 126, 183, 53, 354, 271, 92, 564, 437, 477, 650, 400, 70, 345, 112, 100, 290, 531, 81, 433, 269, 117, 294, 248, 526, 175, 655, 252, 63, 268, 543, 561, 659, 398, 60, 146, 157, 65, 393, 306, 77, 475, 439, 647, 362, 58, 385, 132, 584, 94, 285, 47, 22, 648, 602, 482, 335, 336, 113, 210, 604, 638, 251, 495, 145, 488, 194, 425, 310, 456, 646, 534, 230, 239, 353, 596, 447, 426, 476, 201, 444, 388, 275, 260, 247, 625, 87, 104, 613, 79, 319, 38, 18, 654, 572, 445, 375, 376, 133, 240, 574, 624, 221, 528, 125, 523, 168, 441, 416, 633, 502, 200, 209, 392, 566, 405, 464, 438, 231, 481, 349, 295, 217, 639, 102, 89, 99, 207, 48, 297, 409, 196, 470, 208, 116, 395, 39, 549, 26, 165, 331, 463, 563, 467, 302, 580, 589, 455, 321, 220, 12, 130, 305, 496, 108, 138, 59, 49, 512, 585, 427, 559, 554, 257, 582, 278, 185, 191, 84, 237, 262, 450, 170, 432, 238, 136, 356, 558, 32, 371, 424, 594, 429, 267, 610, 414, 288, 250, 9, 110, 270, 529, 128, 118, 71, 40, 484, 614, 465, 550, 227, 612, 312, 159, 407, 320, 657, 457, 491, 569, 64, 556, 593, 308, 415, 478, 497, 452, 342, 413, 54, 177, 434, 37, 62, 327, 332, 120, 202, 17, 546, 274, 510, 287, 184, 480, 576, 570, 490, 76, 382, 656, 417, 525, 599, 590, 562, 273, 440, 519, 411, 454, 66, 151, 472, 46, 74, 367, 372, 140, 232, 21, 515, 309, 542, 158, 443, 606, 600, 524, 387, 494, 341, 453, 154, 386, 337, 517, 632, 348, 527, 377, 347, 522, 205, 567, 93, 317, 286, 83, 344, 637, 588, 573, 373, 216, 540, 541, 358, 316, 127, 459, 363, 545, 597, 504, 396, 381, 412, 180, 346, 548, 645, 361, 487, 235, 78, 283, 276, 98, 384, 620, 553, 603, 333, 246, 508, 509, 397, 282, 107, 420, 401, 514, 536, 357, 538, 242, 340, 25, 619, 547, 506, 622, 289, 635, 129, 244, 616, 315, 410, 322, 148, 172, 360, 212, 380, 31, 516, 617, 109, 214, 634, 281, 451, 174, 198, 399, 630, 505, 324, 623, 291, 95, 80, 537, 431, 171, 197, 469, 167, 193 ], \[ 510, 542, 659, 660, 296, 103, 261, 88, 568, 171, 148, 598, 197, 174, 38, 43, 104, 24, 47, 52, 89, 30, 2, 64, 251, 567, 559, 283, 1, 76, 221, 597, 550, 317, 586, 480, 452, 512, 487, 312, 131, 656, 575, 551, 443, 411, 484, 522, 278, 111, 657, 605, 57, 55, 255, 354, 485, 165, 440, 388, 635, 504, 370, 18, 69, 67, 225, 393, 520, 191, 478, 349, 617, 536, 330, 22, 77, 651, 311, 160, 45, 471, 214, 528, 465, 601, 46, 606, 166, 556, 28, 92, 649, 277, 186, 36, 433, 244, 495, 427, 571, 37, 576, 192, 590, 34, 114, 604, 247, 515, 429, 298, 204, 531, 130, 184, 518, 227, 646, 580, 273, 419, 303, 607, 545, 505, 134, 574, 217, 546, 467, 263, 234, 499, 110, 158, 489, 257, 633, 610, 308, 458, 268, 577, 514, 537, 508, 631, 592, 468, 60, 231, 392, 113, 367, 358, 33, 207, 126, 526, 372, 543, 398, 457, 565, 21, 620, 44, 350, 259, 316, 394, 540, 644, 561, 430, 72, 201, 353, 133, 327, 397, 27, 237, 146, 492, 332, 511, 359, 417, 595, 17, 637, 35, 389, 294, 282, 355, 566, 188, 295, 486, 498, 154, 205, 93, 136, 386, 412, 524, 309, 641, 119, 422, 208, 132, 357, 462, 121, 229, 345, 338, 291, 233, 66, 287, 624, 553, 596, 162, 260, 521, 530, 180, 235, 78, 116, 346, 453, 490, 274, 627, 139, 461, 238, 112, 396, 423, 141, 199, 385, 378, 324, 203, 54, 320, 638, 588, 477, 152, 579, 145, 216, 347, 142, 288, 218, 652, 275, 269, 105, 256, 219, 390, 270, 202, 516, 416, 399, 648, 59, 13, 91, 210, 285, 232, 307, 451, 503, 144, 446, 636, 108, 439, 178, 609, 125, 246, 361, 122, 321, 248, 653, 310, 304, 90, 226, 249, 351, 305, 547, 456, 360, 654, 71, 10, 106, 240, 319, 272, 410, 535, 124, 418, 618, 128, 623, 193, 329, 475, 117, 334, 39, 187, 153, 622, 228, 548, 97, 434, 325, 557, 612, 569, 31, 245, 431, 474, 177, 470, 211, 552, 375, 428, 519, 621, 129, 400, 549, 532, 469, 182, 585, 611, 534, 147, 630, 167, 369, 437, 137, 374, 48, 161, 179, 619, 258, 517, 82, 472, 292, 591, 582, 599, 25, 215, 436, 151, 432, 241, 587, 335, 466, 497, 615, 109, 362, 558, 500, 156, 614, 581, 502, 173, 342, 454, 562, 383, 336, 301, 87, 554, 513, 140, 593, 49, 564, 253, 300, 395, 421, 83, 302, 426, 352, 506, 629, 56, 50, 509, 264, 195, 339, 442, 527, 444, 63, 402, 196, 281, 391, 340, 81, 387, 314, 223, 382, 413, 343, 376, 266, 102, 589, 544, 120, 40, 583, 265, 356, 460, 98, 267, 464, 538, 643, 68, 41, 541, 299, 169, 379, 479, 494, 481, 75, 364, 170, 315, 380, 96, 348, 280, 525, 19, 53, 276, 333, 344, 371, 318, 602, 95, 491, 628, 632, 403, 172, 254, 127, 279, 73, 496, 584, 650, 159, 424, 32, 366, 176, 29, 200, 15, 448, 262, 135, 94, 252, 331, 198, 65, 286, 373, 384, 284, 572, 80, 642, 645, 365, 224, 107, 313, 61, 529, 613, 647, 185, 463, 26, 404, 150, 23, 230, 406, 297, 115, 79, 222, 189, 157, 168, 425, 337, 209, 86, 306, 405, 163, 183, 101, 655, 573, 563, 190, 58, 250, 539, 640, 488, 4, 560, 483, 407, 326, 16, 6, 290, 42, 7, 455, 438, 408, 164, 289, 639, 194, 441, 377, 239, 271, 447, 658, 603, 594, 70, 220, 507, 626, 523, 3, 555, 493, 415, 293, 20, 8, 323, 51, 5, 414, 476, 449, 322, 625, 420, 242, 501, 341, 450, 368, 459, 409, 181, 118, 401, 12, 616, 473, 100, 155, 11, 99, 243, 212, 533, 381, 328, 138, 363, 9, 634, 435, 85, 14, 84, 213, 74, 482, 206, 62, 236, 143, 123, 445, 175, 578, 608, 149, 600, 570 ] /* order = 9 = 3^2 */ >; print("a Sylow 3-subgroup P of 2.M22");