P:=PermutationGroup<4928 | \[ 1, 2996, 3, 9, 5, 537, 2589, 2358, 2352, 10, 2, 825, 21, 1684, 342, 1840, 740, 841, 2107, 2032, 1794, 8, 546, 693, 780, 1077, 2437, 3582, 1219, 2226, 502, 2401, 2051, 2412, 1512, 1203, 582, 1205, 1586, 770, 455, 512, 961, 4423, 995, 4610, 1061, 2545, 1871, 4223, 1866, 4729, 4170, 4181, 1683, 1959, 1964, 792, 4596, 1627, 2426, 138, 1987, 1121, 1204, 370, 2296, 876, 687, 750, 651, 4001, 4207, 1347, 1005, 1335, 950, 3936, 583, 2123, 4203, 4480, 2661, 3168, 3211, 1392, 4538, 4059, 3639, 4826, 4393, 3462, 4504, 4615, 2149, 612, 4264, 3528, 3292, 611, 2286, 4382, 1836, 2757, 3602, 2651, 1588, 228, 82, 1561, 580, 2928, 1969, 3084, 2943, 948, 3359, 3604, 1824, 812, 711, 880, 1598, 797, 1170, 967, 44, 763, 4540, 2332, 654, 2293, 1711, 371, 3863, 2595, 3905, 4077, 4875, 4078, 3167, 3270, 2165, 3765, 4234, 3422, 3163, 3173, 4435, 4911, 4656, 4568, 4800, 4713, 2785, 2842, 3643, 391, 3900, 4132, 3911, 2923, 1517, 164, 2847, 1751, 2702, 1763, 2271, 1743, 2606, 3402, 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2419, 4149, 670, 1387, 3710, 3514, 2603, 3805, 1565, 333, 3468, 2838, 1926, 1344, 3767, 89, 2043, 4703, 4520, 3470, 4678, 4129, 2077, 3029, 1912, 3951, 809, 1894, 88, 2636, 3223, 4348, 3118, 3843, 2514, 1801, 523, 323, 3064, 4877, 3542, 4441, 1194, 488, 2988, 174, 1611, 61, 3097, 3193, 4609, 1778, 1021, 2076, 2892, 2040, 4307, 1737, 355, 4613, 3026, 2878, 3560, 3392, 2258, 4432, 3912, 1842, 3819, 1476, 2958, 3007, 2265, 4682, 1988, 3511, 634, 2185, 4157, 3754, 2715, 3458, 2227, 4531, 4216, 4413, 3502, 4841, 3134, 3378, 1759, 4811, 4053, 1525, 4014, 2555, 2649, 929, 936, 1429, 159, 3797, 1330, 2993, 3686, 451, 1093, 543, 1075, 4251, 4600, 1784, 4593, 598, 204, 3289, 4411, 3250, 4253, 163, 3369, 1165, 4464, 2094, 4043, 90, 2886, 2875, 539, 279, 1868, 281, 4315, 3355, 623, 847, 2924, 4573, 629, 2587, 359, 3220, 3021, 4065, 2237, 3565, 4756, 1905, 227, 1815, 1781, 4062, 2388, 2439, 2373, 1395, 3255, 4451, 3252, 4511, 544, 3820, 1274, 2877, 1551, 1473, 1286, 2742, 4162, 3358, 3136, 3857, 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1198, 1741, 564, 4516, 2824, 2404, 3160, 1454, 1128, 4148, 9, 4797, 168, 845, 342, 4409, 878, 4190, 2122, 4689, 1807, 4001, 4695, 3392, 1627, 406, 2604, 4688, 752, 3543, 1505, 3759, 487, 2034, 1593, 883, 2221, 3924, 1725, 4418, 1585, 4274, 97, 1938, 2396, 985, 2174, 2282, 3342, 30, 4030, 348, 2716, 2121, 2985, 1261, 431, 1914, 1625, 265, 1756, 1512, 2376, 4784, 2054, 1958, 1495, 4169, 114, 3858, 1826, 4795, 3462, 2563, 4187, 4306, 3594, 4316, 3893, 573, 160, 945, 955, 951, 635, 4576, 3237, 1873, 3520, 2809, 3933, 366, 386, 2092, 57, 1356, 2398, 2734, 3746, 4219, 2588, 4122, 3809, 1455, 1591, 4658, 766, 3190, 4003, 294, 3058, 4602, 4901, 2124, 4621, 3421, 2578, 2167, 1391, 3274, 3840, 2474, 4385, 1648, 3631, 2836, 2326, 3651, 2831, 2937, 4641, 2768, 267, 975, 4718, 1050, 2951, 4674, 3154, 2726, 2016, 2514, 1553, 420, 4848, 758, 799, 4477, 4162, 1678, 2877, 1343, 28, 2883, 3398, 345, 3430, 2874, 1440, 3303, 3477, 2938, 1218, 3697, 3814, 1040, 690, 3478, 196, 4537, 4355, 359, 4232, 3894, 346, 1905, 2204, 1397, 3581, 3494, 2435, 2344, 926, 4892, 3330, 4881, 3240, 451, 2100, 177, 3550, 2995, 4089, 3765, 3779, 1674, 1611, 3434, 3754, 3833, 1966, 2372, 1680, 981, 1682, 4583, 3532, 4584, 644, 3741, 4732, 3835, 696, 3660, 100, 770, 891, 702, 47, 3179, 3270, 3140, 3295, 3413, 2030, 3388, 4347, 3422, 806, 3538, 1930, 4139, 4025, 4890, 112, 2308, 4534, 2301, 115, 1115, 2917, 2287, 4046, 3988, 1231, 2492, 2360, 3621, 2811, 1375, 656, 283, 4486, 2229, 1545, 2918, 4808, 1536, 853, 2379, 907, 3099, 641, 2088, 25, 2180, 284, 4080, 4201, 3340, 1925, 1228, 379, 1312, 1641, 4471, 4564, 2912, 4429, 4759, 4711, 3335, 2070, 1940, 143, 4558, 947, 1293, 2319, 3959, 746, 680, 2410, 2298, 4742, 2351, 148, 958, 1277, 715, 1673, 896, 462, 3892, 4140, 351, 808, 1860, 282, 4218, 1465, 2968, 4413, 2283, 3292, 417, 659, 4057, 832, 1996, 2349, 3173, 1238, 1804, 1738, 2676, 851, 4334, 785, 4686, 937, 1999, 1730, 3373, 3459, 2815, 2196, 848, 3354, 636, 3773, 1757, 4701, 1967, 4502, 3351, 4401, 1789, 3047, 4886, 2422, 4669, 3801, 781, 2720, 3122, 1810, 4184, 419, 1206, 923, 716, 3029, 1470, 2413, 4659, 3860, 4603, 4693, 157, 3789, 3260, 2480, 1846, 2535, 3767, 470, 3018, 2964, 352, 2281, 828, 1816, 1502, 1722, 1366, 2709, 4735, 1167, 4819, 1885, 2327, 387, 1097, 4591, 583, 1347, 480, 2483, 4555, 246, 4822, 1888, 4323, 3634, 1535, 2821, 1169, 2846, 4818, 1640, 2692, 1901, 3234, 2316, 578, 221, 4771, 381, 1714, 1151, 1676, 2838, 3534, 490, 3584, 4202, 1487, 1510, 2479, 3458, 1753, 1907, 3946, 1894, 2782, 931, 910, 1049, 1047, 1224, 1837, 2189, 4020, 2377, 2059, 3124, 147, 380, 903, 2057, 3279, 2467, 3970, 2583, 320, 1762, 1084, 3406, 230, 2187, 3750, 3199, 1113, 3683, 1567, 2026, 3077, 533, 3050, 2576, 4872, 3805, 1310, 1102, 2825, 1380, 3012, 665, 3827, 2690, 1020, 4738, 373, 4336, 4834, 4625, 1075, 3433, 4760, 3235, 1608, 2538, 4428, 2616, 262, 1110, 4829, 113, 1601, 292, 4077, 4590, 3787, 1034, 4000, 104, 4508, 372, 3848, 3560, 4312, 4696, 2601, 2953, 3795, 1615, 202, 2347, 543, 1197, 3620, 410, 1064, 2872, 1679, 79, 3317, 4153, 4810, 2126, 3230, 3238, 4118, 1003, 3984, 203, 29, 3443, 436, 3960, 1579, 3657, 4430, 3367, 726, 4799, 2678, 767, 4657, 272, 42, 1372, 815, 916, 1721, 1184, 940, 189, 3598, 4098, 184, 2597, 1924, 4078, 2277, 2524, 3712, 1210, 1253, 4867, 4423, 2149, 2055, 3844, 1589, 589, 2266, 1994, 59, 1737, 4407, 3391, 1726, 1444, 1121, 4638, 1350, 3643, 4744, 3293, 1836, 3093, 3518, 2115, 3836, 2402, 4802, 2947, 992, 3205, 2177, 407, 4753, 1921, 1129, 4900, 263, 502, 4045, 4554, 2640, 2367, 4332, 3951, 255, 4353, 1063, 1192, 1147, 2860, 3439, 3897, 4665, 1386, 2665, 2802, 14, 506, 2639, 2335, 271, 1170, 412, 1459, 3024, 1463, 4368, 4676, 3755, 861, 668, 1337, 432, 2944, 1393, 4420, 596, 1574, 95, 1830, 2103, 1922, 4261, 541, 3360, 459, 1599, 4840, 2072, 2158, 2789, 3129, 4529, 2955, 3511, 2975, 4536, 2155, 664, 2304, 4281, 3304, 4371, 1848, 2684, 4374, 1919, 628, 1088, 3728, 4906, 2375, 2647, 537, 4106, 4656, 178, 1290, 4637, 1562, 3642, 1329, 4317, 2776, 4868, 4035, 2706, 1551, 620, 3810, 1475, 4873, 1333, 515, 4662, 4300, 2039, 1997, 4610, 2862, 1000, 3326, 2891, 4709, 3693, 3699, 175, 4462, 914, 2280, 2805, 4846, 547, 4644, 2419, 2732, 1739, 3654, 2133, 725, 634, 3607, 2673, 2551, 4325, 422, 3420, 1283, 2042, 3130, 3037, 1695, 2182, 2489, 4746, 4389, 4895, 1733, 107, 2641, 1746, 291, 2460, 1763, 2496, 368, 2834, 2445, 646, 429, 4054, 33, 2929, 1867, 2438, 4048, 3353, 1077, 4285, 685, 1842, 3261, 1414, 4419, 2031, 1482, 2497, 1920, 2715, 409, 4262, 4880, 540, 1965, 4424, 434, 185, 4156, 4450, 1524, 36, 2596, 4050, 4180, 1332, 4063, 2017, 3325, 2779, 3640, 46, 2294, 4088, 1877, 974, 1008, 1623, 4628, 4028, 4465, 2120, 3136, 1373, 3736, 1340, 4861, 2050, 3397, 2550, 2931, 4668, 3214, 3500, 638, 648, 4916, 1068, 3576, 2211, 3507, 1089, 2218, 2237, 2725, 504, 3089, 1910, 1715, 493, 542, 2897, 3067, 4700, 1053, 4273, 4352, 1434, 998, 3982, 306, 4053, 563, 4378, 505, 2830, 2890, 66, 4097, 3064, 125, 124, 149, 3962, 1665, 565, 3374, 1052, 4414, 544, 1734, 1493, 2881, 4164, 3987, 4105, 2102, 4727, 1693, 2736, 3850, 3901, 290, 1580, 1172, 4069, 1774, 1385, 2853, 3074, 3192, 2510, 3021, 2224, 4672, 4124, 943, 4397, 597, 2557, 1432, 1815, 4426, 1656, 2225, 1272, 4832, 1803, 567, 4667, 3143, 2707, 2382, 2617, 546, 4605, 70, 818, 3432, 1499, 3771, 2188, 3919, 3949, 4136, 2252, 4574, 3258, 341, 1474, 1583, 4597, 1745, 4411, 1507, 3612, 2756, 4853, 1468, 3616, 3042, 425, 450, 2011, 2272, 4532, 1166, 1223, 1651, 3929, 244, 1793, 4060, 4086, 4016, 904, 1168, 1029, 4611, 3749, 1439, 2612, 1799, 2837, 2799, 2065, 3937, 1334, 239, 570, 1801, 2701, 4652, 225, 3944, 4412, 552, 449, 4541, 1022, 2208, 1270, 697, 3533, 1100, 1378, 3649, 2384, 787, 3563, 1778, 2962, 603, 258, 297, 2244, 1368, 1185, 1159, 1555, 1809, 1724, 2910, 3630, 639, 4734, 4351, 273, 662, 969, 4109, 1260, 2818, 4335, 4869, 1600, 2700, 3977, 4871, 110, 1957, 1526, 1776, 3910, 1176, 4085, 3647, 3902, 418, 1313, 4838, 3121, 3790, 2369, 637, 1664, 4369, 4402, 92, 2770, 2689, 704, 219, 2812, 276, 753, 954, 3078, 4398, 4230, 3821, 4356, 1164, 252, 2657, 717, 1351, 3571, 967, 4884, 241, 1494, 4142, 880, 327, 4769, 394, 3485, 3286, 324, 4556, 2262, 2210, 2215, 371, 3266, 1051, 313, 1122, 852, 4552, 446, 150, 1296, 777, 2416, 3217, 3503, 1409, 3004, 2166, 3363, 2537, 3681, 1481, 1902, 4344, 354, 2020, 4557, 1425, 2653, 1245, 2882, 323, 1297, 1466, 4313, 2464, 1317, 723, 2675, 3025, 2607, 2547, 1187, 1324, 694, 3567, 1424, 1689, 1149, 4168, 3690, 3039, 4268, 2085, 2315, 1484, 3956, 3098, 3743, 3476, 1519, 3802, 3411, 3993, 4199, 3284, 4814, 1362, 4499, 232, 3775, 820, 2745, 2977, 4013, 3242, 1503, 2040, 4479, 4340, 4008, 4265, 2901, 4348, 2138, 4343, 2046, 312, 2477, 122, 4604, 3517, 4434, 2029, 4019, 4794, 1138, 1462, 650, 293, 2269, 1705, 4134, 3796, 3115, 3555, 61, 2976, 4649, 2865, 801, 4546, 802, 759, 4540, 1708, 3813, 135, 3922, 2629, 4009, 1633, 2234, 134, 4143, 3512, 3470, 2150, 1028, 4629, 3412, 1384, 3782, 4572, 3945, 1573, 1054, 2973, 4755, 4417, 2632, 3328, 2186, 1538, 1201, 2539, 1092, 2119, 1435, 39, 4116, 1461, 1452, 784, 4816, 740, 4259, 4768, 1817, 4683, 4432, 401, 3554, 2771, 4380, 4282, 1300, 744, 416, 630, 1041, 3706, 4706, 2297, 60, 2394, 1453, 299, 2940, 4567, 4049, 2655, 3281, 4707, 930, 3045, 2434, 3265, 3792, 105, 905, 1646, 4056, 3756, 2804, 2096, 1196, 4350, 4207, 1398, 2257, 4270, 106, 4235, 2920, 4913, 2645, 475, 3452, 2184, 3763, 3963, 2599, 1652, 4685, 2279, 179, 1265, 180, 1983, 3417, 825, 3721, 458, 1935, 1984, 2110, 4736, 1469, 274, 65, 4038, 73, 1403, 4843, 4091, 1594, 1852, 3954, 4214, 3863, 2950, 3488, 3866, 3653, 938, 3838, 3542, 3726, 1995, 4189, 1819, 3845, 2136, 4163, 4923, 4578, 2858, 4515, 286, 1289, 1577, 4433, 1547, 4677, 4257, 2801, 1564, 4363, 3251, 1195, 2989, 1872, 4322, 4921, 305, 3874, 4766, 38, 3378, 4203, 3451, 2256, 2056, 2646, 3010, 4154, 3066, 2213, 4912, 4714, 1348, 2307, 1017, 786, 3745, 4563, 968, 3215, 2310, 3876, 3399, 2265, 1604, 2476, 3480, 2613, 2449, 730, 4492, 555, 485, 4716, 1082, 211, 4697, 3906, 3283, 251, 1934, 2290, 3510, 2143, 3711, 3028, 3013, 4749, 2527, 2500, 453, 3321, 319, 2432, 2385, 3254, 4717, 3680, 2147, 4055, 4606, 2602, 18, 2080, 2012, 4469, 3086, 2967, 81, 2763, 3923, 3877, 3980, 3670, 4885, 2594, 1624, 1504, 3547, 743, 2146, 4070, 4111, 4112, 939, 2839, 4115, 1488, 4117, 742, 2423, 2263, 731, 2475, 3407, 1900, 326, 4914, 4255, 2463, 4692, 4438, 207, 3416, 847, 2561, 111, 195, 88, 4543, 4699, 2253, 1688, 37, 4026, 4550, 205, 1635, 237, 2201, 2450, 1473, 1096, 3570, 3277, 2231, 915, 2236, 3310, 4366, 503, 3523, 1153, 3152, 2386, 2867, 4862, 4280, 892, 1039, 2068, 1747, 1330, 856, 701, 388, 2650, 4614, 1038, 3939, 136, 1766, 899, 3285, 3498, 1320, 2345, 361, 1105, 3969, 3182, 2053, 3044, 3529, 2073, 4507, 741, 2849, 1527, 343, 2841, 1602, 2614, 1972, 2727, 212, 539, 2691, 2637, 1144, 486, 4210, 1048, 193, 2004, 4523, 1908, 1534, 2064, 4483, 3371, 1275, 1426, 1909, 2355, 363, 2093, 362, 3108, 1288, 2025, 3998, 250, 4196, 1889, 2364, 2209, 584, 1775, 2333, 2032, 3423, 3249, 909, 469, 1497, 517, 2879, 2324, 2343, 167, 2889, 1546, 2268, 2274, 3364, 161, 2772, 707, 1825, 4066, 1644, 2861, 3107, 19, 3508, 421, 3577, 2649, 3811, 1152, 3291, 3889, 64, 2508, 1291, 1542, 676, 3166, 63, 2548, 2468, 4630, 2313, 3585, 2972, 437, 155, 1014, 3196, 1533, 4165, 3040, 4358, 2532, 3493, 3164, 1438, 1618, 3905, 4664, 248, 491, 4770, 1716, 2762, 724, 778, 1220, 678, 3842, 1418, 4327, 2581, 1552, 1713, 2894, 1485, 1222, 3688, 1091, 679, 3731, 1135, 1780, 1120, 3880, 2832, 2363, 3038, 3358, 90, 4806, 566, 1936, 3766, 3800, 1560, 7, 3583, 1140, 1027, 3664, 829, 2888, 3017, 4561, 3603, 1010, 2876, 2794, 1993, 3141, 4160, 3267, 4790, 2132, 3357, 151, 4375, 2258, 223, 2099, 1785, 4519, 793, 1044, 1955, 3656, 4396, 528, 4763, 1069, 4761, 1241, 3444, 4292, 3114, 3645, 838, 1951, 2638, 20, 4408, 3448, 2251, 3641, 3578, 4505, 3091, 4240, 2008, 3966, 2243, 1998, 3323, 479, 3314, 800, 4601, 364, 2084, 398, 4422, 3627, 2747, 2160, 4307, 3604, 1131, 3088, 2777, 4821, 2671, 4021, 1509, 2965, 859, 4271, 2729, 4031, 4394, 1316, 3714, 1859, 2749, 4342, 176, 1276, 1186, 3341, 2627, 2228, 3700, 4927, 4309, 4314, 3035, 289, 118, 3468, 2037, 3628, 3986, 2982, 4361, 2848, 1588, 4553, 4870, 2219, 4752, 2028, 4039, 4043, 1123, 3888, 2567, 2442, 3521, 3608, 2605, 3264, 1675, 2933, 4775, 1767, 3955, 1870, 478, 775, 340, 837, 318, 4416, 3904, 153, 3707, 2681, 4891, 1941, 3147, 1857, 3030, 2986, 2151, 2421, 3440, 3778, 4249, 4858, 4172, 4104, 2260, 264, 3195, 4133, 2593, 1522, 3589, 4636, 3223, 3633, 3569, 4928, 1148, 1303, 3553, 2179, 4670, 3019, 145, 2097, 513, 2905, 3957, 3830, 382, 1645, 2963, 4018, 3682, 3104, 2452, 3989, 1628, 3514, 1990, 1305, 2135, 2946, 4725, 2462, 4661, 2956, 4855, 4671, 1755, 3085, 2999, 4247, 129, 2448, 655, 1019, 226, 2835, 308, 227, 4788, 2688, 750, 152, 612, 2522, 2603, 391, 1666, 843, 3668, 336, 4427, 737, 3365, 2919, 3191, 1647, 606, 3626, 3070, 2773, 2052, 4773, 1117, 4248, 4346, 4058, 4304, 4244, 1111, 4440, 4580, 4581, 1892, 3780, 2484, 3661, 4922, 2512, 4654, 3174, 2896, 68, 146, 1221, 3575, 4743, 4044, 4459, 3436, 4186, 2227, 3725, 4865, 4191, 2797, 2668, 2869, 607, 35, 984, 2118, 2214, 1891, 608, 1433, 1282, 935, 569, 2141, 4177, 80, 2318, 1782, 2107, 466, 2245, 963, 194, 3744, 2330, 3348, 2303, 1831, 2000, 4634, 3126, 3818, 1630, 277, 1407, 2134, 1281, 3361, 1592, 1492, 1750, 2625, 2584, 2589, 2746, 1586, 2473, 3663, 303, 99, 3327, 3768, 2446, 3112, 3617, 2810, 3622, 780, 1700, 792, 1759, 3614, 2520, 4183, 4074, 3184, 2542, 3734, 1036, 4675, 2814, 1085, 1685, 988, 1886, 2562, 3009, 1490, 854, 1707, 2261, 590, 3001, 2654, 790, 4893, 3337, 1578, 3935, 4926, 855, 2240, 1226, 1516, 2908, 2765, 4509, 249, 1451, 2934, 2949, 3868, 2767, 2331, 3259, 2878, 2424, 3429, 1595, 1095, 4456, 568, 3702, 2925, 3492, 3925, 2062, 898, 4783, 3431, 499, 3426, 3912, 2857, 1525, 755, 791, 1146, 1311, 4520, 3536, 3694, 3869, 4767, 4918, 2587, 1513, 2441, 709, 3752, 4617, 2904, 411, 2117, 924, 2380, 89, 3466, 593, 3644, 4455, 1572, 1788, 2154, 4533, 4277, 198, 913, 213, 137, 4896, 1061, 3159, 2153, 611, 1209, 1207, 4010, 529, 3940, 2273, 3738, 2162, 4559, 3667, 4468, 3675, 1686, 919, 169, 2036, 4216, 2713, 1619, 4242, 2370, 2482, 87, 4174, 4002, 243, 93, 4549, 2325, 4500, 3097, 2659, 2796, 2758, 921, 2610, 857, 2670, 4463, 2723, 4811, 3206, 1610, 4910, 512, 4815, 4474, 91, 4095, 4037, 2978, 3610, 3724, 1530, 2175, 2183, 2428, 154, 3268, 4589, 4167, 652, 4338, 2983, 2254, 1970, 2974, 3216, 4476, 123, 2958, 1361, 1971, 3212, 1742, 1336, 4051, 1112, 3083, 2741, 1881, 4851, 2466, 4666, 2357, 2913, 2936, 3346, 2397, 4042, 3968, 4294, 4290, 1431, 4613, 2788, 949, 1136, 1225, 376, 377, 881, 1904, 2152, 4750, 3041, 3302, 1130, 3623, 3068, 3011, 3387, 1066, 520, 3491, 1834, 2288, 3723, 1408, 4485, 3679, 617, 3297, 1811, 50, 390, 2048, 3669, 1897, 52, 4067, 3338, 3318, 2185, 1158, 4905, 4329, 3791, 3658, 3678, 2049, 2285, 4452, 4466, 1367, 2672, 3764, 1188, 234, 1189, 830, 587, 1850, 586, 4253, 4252, 1621, 4012, 375 ] /* order = 9 = 3^2 */ >; print("a Sylow 3-subgroup P of 4.M22");