Finite Group Databasebeta

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#72223869

• non-solvable

Aliases

No aliases for this group.

Splittings

Subgroups

52 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Permutation generators:

(1,13556,6777,12465,6776,13561,10,2427,9206,3518,9196,2422)(2,12471,13554,10289,13552,12470,9,3512,2429,5694,2420,3513)(3,11375,5690,6782,5687,11379,8,4608,10293,9201,10285,4604)(4,10290,12467,4606,12463,10288,7,5693,3516,11377,3509,5695)(5,9205,4603,2430,4598,9197,6,6778,11380,13553,11374,6786)(11,12265,13442,9823,13431,12320,110,3828,2651,6270,2541,3773)(12,11180,5578,7647,5566,11240,120,4924,10526,8457,10406,4864)(13,10095,12355,4140,12342,10149,119,6009,3749,11964,3630,5955)(14,8999,4491,1964,4477,9058,118,7105,11613,14140,11495,7046)(15,7914,11268,14429,11253,7967,117,8190,4836,1675,4719,8137)(16,5498,3404,10922,3388,5545,116,10606,12700,5182,12584,10559)(17,4402,10181,8735,10164,4465,115,11702,5923,7369,5808,11639)(18,3317,2317,6559,2299,3374,114,12787,13787,9545,13673,12730)(19,2232,9094,3052,9075,2283,113,13872,7010,13052,6897,13821)(20,1136,1230,876,1210,1192,112,327,233,587,121,271)(21,13361,6676,12010,6655,13411,111,1412,8097,2763,7986,1362)(22,9889,12243,5005,12221,9878,99,6204,3850,11088,3751,6215)(23,8804,4379,1498,4356,8798,109,7300,11725,14606,11616,7306)(24,7719,11156,13963,11132,7707,108,8385,4948,2141,4840,8397)(25,6623,3292,11787,3267,6616,107,9481,12812,4317,12705,9488)(26,4207,10069,8280,10043,4194,106,11897,6035,7824,5929,11910)(27,3122,2205,6104,2178,3103,105,12982,13899,10000,13794,13001)(28,2026,8982,3917,8954,2023,104,14078,7122,12187,7018,14081)(29,941,1118,410,1089,932,103,522,345,1053,242,531)(30,14497,7895,12875,7865,14482,102,1607,8209,3229,8107,1622)(31,12070,13341,9368,13310,12060,101,2703,1432,5405,1331,2713)(32,10985,5477,7192,5445,10969,100,5119,10627,8912,10527,5135)(33,7392,11044,13497,11011,7436,88,8701,5049,2596,4961,8657)(34,6307,3180,11321,3146,6356,98,9797,12924,4783,12826,9748)(35,5222,9957,9145,9922,5265,97,10882,6147,6959,6050,10839)(36,2795,2093,5638,2057,2843,96,13309,14011,10466,13915,13261)(37,1710,8870,3462,8833,1752,95,14394,7234,12642,7139,14352)(38,625,1006,1286,968,661,94,838,457,177,363,802)(39,14170,7783,12409,7744,14222,93,1934,8321,3695,8228,1882)(40,13085,14560,10233,14520,13131,92,3019,1544,5871,1452,2973)(41,10669,5365,6726,5324,10709,91,4104,9408,8047,9317,4064)(42,9573,12142,4550,12100,9618,90,6531,3962,11554,3872,6486)(43,8488,4278,2374,4235,8527,89,7616,11826,13730,11737,7577)(44,5016,9845,8679,9801,4994,77,11077,6248,7414,6171,11099)(45,3931,1981,6503,1936,3914,87,12173,14123,9601,14036,12190)(46,1515,8758,2996,8712,1492,86,14589,7346,13108,7260,14612)(47,419,894,820,847,401,85,1044,569,643,484,1062)(48,13975,7671,13285,7623,13951,84,2129,8433,2819,8349,2153)(49,12890,14448,9778,14399,12860,83,3214,1656,6326,1573,3244)(50,11794,6584,7591,6534,11780,82,4310,9520,8513,9438,4324)(51,9378,12030,4084,11979,9358,81,5395,2743,10689,2662,5415)(52,8293,4166,1908,4114,8267,80,7811,11938,14196,11858,7837)(53,7197,10943,14373,10890,7176,79,8907,5161,1731,5082,8928)(54,6112,3079,10866,3025,6085,78,9992,13025,5238,12947,10019)(55,2640,8646,3861,8591,2552,66,13453,7447,12232,7381,13541)(56,224,782,354,726,141,76,1239,681,1109,605,1322)(57,13780,7559,12819,7502,13691,75,2324,8545,3285,8470,2413)(58,12684,14336,10643,14278,12600,74,3420,1768,5461,1694,3504)(59,11599,6472,7136,6413,11509,73,4505,9632,8968,9559,4595)(60,10514,13249,4960,13189,10418,72,5590,2855,11144,2783,5686)(61,8087,4054,1442,3993,8007,71,6686,10719,13331,10648,6766)(62,7002,10831,13907,10769,6916,70,9102,5273,2197,5203,9188)(63,5917,2967,11731,2904,5825,69,10187,13137,4373,13068,10279)(64,4821,9744,8224,9680,4734,68,11283,6360,7880,6292,11370)(65,3736,1880,6048,1815,3643,67,12368,14224,10056,14157,12461)(122,13816,6797,12270,6675,14426,1220,2277,9307,3834,8098,1678)(123,12731,13563,10094,13451,12004,1219,3373,2530,6010,2653,2769)(124,11646,5699,7918,5586,10913,1218,4458,10405,8186,10518,5191)(125,10550,12476,4400,12362,9833,1217,5554,3628,11693,3742,6271)(126,8134,4612,2224,4497,8742,1216,7970,11492,13880,11607,7362)(127,7049,11389,13358,11273,7651,1215,9055,4715,1415,4831,8453)(128,5953,3525,11182,3408,6560,1214,10151,12579,4922,12696,9544)(129,4868,10302,9006,10184,4138,1213,11236,5802,7098,5920,11966)(130,3783,2438,5499,2319,3047,1212,12321,13666,10605,13785,13046)(131,1356,9215,3312,9095,1967,1211,13417,6889,12792,7009,14137)(132,12536,13462,9628,13330,13075,1320,3568,2642,6476,1443,2908)(133,11440,5598,7452,5465,10653,1330,4653,10506,8652,10639,3999)(134,10355,12364,5276,12241,9562,1329,5749,3729,10828,3863,6421)(135,9270,4500,1769,4376,8471,1328,6834,11604,14335,11728,7512)(136,6843,11277,14223,11152,7391,1327,9261,4827,1870,4952,8592)(137,5758,3413,10716,3287,6300,1326,10346,12691,4057,12817,9683)(138,4673,10190,8540,10063,5209,1325,11431,5914,7564,6041,10774)(139,3577,2326,6364,2198,2787,1324,12527,13778,9740,13906,13196)(140,2492,9103,2857,8974,1696,1323,13612,7001,13247,7130,14287)(142,13621,6685,13135,7885,14166,1321,2483,8088,2969,8219,1817)(143,10160,12263,4810,12120,9423,1309,5944,3841,11294,3984,5350)(144,9064,4399,2634,4255,8332,1319,7029,11705,13470,11849,7772)(145,7979,11165,13768,11031,7241,1318,8125,4928,2336,5073,8863)(146,5563,3301,11592,3166,6150,1317,10541,12803,4512,12938,9954)(147,4467,10078,8074,9942,5070,1316,11637,6026,6688,6162,11034)(148,3382,2214,5898,2077,3979,1315,12722,13890,10206,14027,12125)(149,2297,8991,3722,8853,1557,1314,13807,7113,12382,7251,14547)(150,1201,1127,215,988,466,1313,262,336,1248,475,997)(151,13426,7904,12680,7764,14016,1312,1347,8200,3424,8340,2088)(152,12341,13350,10504,14540,12925,1311,3763,1423,5600,1564,3168)(153,11245,5486,6986,5344,11845,1310,4859,10618,9118,9429,4259)(154,7663,11064,14633,10910,6981,1298,8441,5040,1471,5194,9123)(155,6567,3200,11126,3045,5890,1308,9526,12904,4978,13059,10214)(156,4151,9966,8950,9821,4799,1307,11953,6127,7154,6283,11305)(157,3066,2102,5443,1956,3708,1306,13038,14002,9330,14148,12396)(158,1970,8879,3256,8732,2628,1305,14134,7225,12837,7372,13476)(159,885,1015,1080,867,206,1304,578,448,383,596,1257)(160,14441,7792,12214,7643,13756,1303,1663,8312,3890,8461,2348)(161,12014,14569,10038,14419,12665,1302,2759,1535,6066,1685,3439)(162,10929,5374,7862,6554,11574,1301,5175,9399,8242,9550,4530)(163,9844,12151,4355,11999,10483,1300,6260,3953,11749,2774,5610)(164,8748,4287,2168,4134,8072,1299,7356,11817,13936,11970,6701)(165,5287,9865,8363,9700,4539,1287,10817,6239,7741,6404,11565)(166,2860,2001,6187,1835,3448,1297,13233,14103,9917,14269,12656)(167,1775,8767,2680,8611,2357,1296,14329,7326,12093,7493,13747)(168,690,903,504,746,1266,1295,773,560,959,717,197)(169,14235,7680,12958,7522,13496,1294,1869,8424,3135,8582,2608)(170,13150,14457,9451,14298,12405,1293,2954,1647,6653,1806,3699)(171,10734,6593,7275,6433,11314,1292,4039,9511,8829,9671,4790)(172,9638,12039,5099,13209,10223,1291,6466,2734,11005,2895,5881)(173,8553,4175,1592,4013,9132,1290,7551,11929,14512,10760,6972)(174,7468,10952,14057,10789,6710,1289,8636,5152,2047,5315,8052)(175,6372,3088,11870,2924,5630,1288,9732,13016,4234,13180,10474)(176,1459,8666,3545,8490,2097,1276,14524,7438,12559,7614,14007)(178,13919,7568,12503,7401,14556,1285,2064,8525,3601,8703,1548)(179,12834,14345,10327,14177,12134,1284,3149,1759,5777,1927,3970)(180,11738,6481,6809,6312,11054,1283,4245,9623,9284,9792,5050)(181,9322,13258,4633,13088,9963,1282,5330,2846,11471,3016,6141)(182,8237,4063,2457,5223,8872,1281,7746,10710,13647,10881,7232)(183,7141,10840,13591,10668,7781,1280,8842,5264,2513,4105,8323)(184,6056,2976,11415,2803,5359,1279,9927,13128,4689,13301,9414)(185,4971,9753,9239,9579,4268,1278,11012,6351,6865,6525,11825)(186,3875,1889,5721,1714,3188,1277,12108,14215,10383,14390,12916)(187,13724,7467,12037,7280,14296,1265,2380,8637,2736,8824,1808)(188,12628,14244,9861,14056,13205,1275,3465,1860,6243,2048,2899)(189,11543,6369,7685,6191,10783,1274,4561,9724,8419,9913,5321)(190,10458,13146,4178,12967,9692,1273,5646,2958,11926,3137,6412)(191,8031,5282,1991,5102,8612,1272,6742,10822,14102,11002,7492)(192,6946,10728,14456,11878,7521,1271,9158,4045,1648,4226,8583)(193,5861,2864,10949,2682,6430,1270,10243,13240,5155,12091,9674)(194,4765,9641,8773,9458,4008,1269,11339,6463,7331,6646,10765)(195,3680,1777,6597,1593,2917,1268,12424,14327,9507,14511,13187)(196,2595,8554,3090,8369,1826,1267,13509,7550,13014,7735,14267)(198,11348,6268,7219,6070,11975,1254,4756,9836,8885,10034,4129)(199,10252,13045,5043,12846,9553,1264,5841,3059,11061,3258,6551)(200,9167,5170,1536,4981,8462,1263,6937,10923,14568,11123,7642)(201,6751,11947,14001,11757,7371,1262,8022,4157,2103,4347,8733)(202,5655,2752,11814,3892,6291,1261,10449,12021,4279,12212,9813)(203,4570,9529,8307,9337,5200,1260,11534,6575,7797,5436,10904)(204,3485,1665,6131,1472,2778,1259,12619,14439,9973,14632,11995)(205,2389,8442,3955,8248,1687,1258,13715,7662,12149,7856,14417)(207,13529,7355,12913,7159,14146,1256,2575,8749,3191,8945,1947)(208,12433,14132,9395,13935,13066,1255,3671,1972,5378,2169,3038)(209,8851,5069,2401,4860,8202,1243,7253,11035,13703,11244,7902)(210,7755,11846,13535,11636,7111,1253,8338,4258,2569,4468,8993)(211,5339,3971,11359,3771,6020,1252,9434,12122,4745,12333,10084)(212,4254,9417,9183,10547,4929,1251,11850,5356,6921,5557,11175)(213,3158,1553,5665,1351,3849,1250,12946,14551,10428,13422,12255)(214,2073,8330,3489,8127,1427,1249,14031,7774,12615,7977,13346)(216,14533,7243,12447,7038,13886,1247,1571,8861,3657,9066,2218)(217,12117,14020,10271,13814,12795,1246,3987,2084,5833,2290,3309)(218,11032,6156,6764,5949,11704,1245,5072,9948,8009,10155,4389)(219,9936,12933,4577,12725,10624,1244,6168,3171,11527,3379,5480)(220,6475,3870,10772,3650,5760,1232,9629,12234,5211,12454,10344)(221,4048,10647,8596,10426,4669,1242,10714,5457,7387,5678,11435)(222,2963,1441,6420,2561,3578,1241,13141,13321,9563,13543,12526)(223,1878,8218,2913,8006,2487,1240,14226,7886,13070,6767,13617)(225,14338,7131,13191,6917,13626,1238,1766,8973,2792,9187,2478)(226,13253,13908,9684,13693,12535,1237,2851,2196,6299,2411,3569)(227,10826,6044,7508,5828,11444,1236,5278,10060,8475,10276,4660)(228,9741,12821,4001,12604,10353,1235,6363,3283,10651,3500,5751)(229,8656,4957,1825,4739,9262,1234,74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930,14003,5869,4964,4060,5723,14174,2090,10235,11019,10713,10381)(1932,11833,4782,13922,2971,3552,14172,4271,11322,2061,13133,12552)(1933,9406,11559,11746,9747,2461,14171,5367,4545,4237,6357,13643)(1935,7236,10461,6052,8658,13589,14169,8868,5632,9931,7446,2515)(1939,13958,5766,4303,5169,6328,14044,2146,10338,11801,10935,9776)(1940,12862,12543,2127,11945,5237,14043,3242,3561,13977,4159,10867)(1948,13752,5654,5179,5048,6068,14156,2352,10439,10925,11056,10036)(1950,11582,4567,14126,3959,3886,14154,4522,11537,1978,12145,12218)(1953,6974,10257,6267,8315,13934,14151,9119,5847,9837,7789,2170)(1957,2623,6752,9531,6137,8239,14147,13481,8021,6573,9967,7854)(1958,12351,12330,2537,11703,4838,14135,3632,3774,13567,4401,11266)(1959,11255,4455,13671,3838,3747,14145,4728,11638,2433,12266,12357)(1960,10170,11232,11484,10614,2656,14144,5813,4872,4609,5490,13448)(1962,6658,10145,5801,8194,13784,14142,7994,5959,10303,7910,2320)(1966,2307,7971,10396,6016,8100,14138,13676,8133,5708,10088,6673)(1968,13436,5553,4713,4927,5918,14136,2547,10551,11391,11177,10175)(1969,9975,11131,10908,10493,2396,14124,6129,4973,5196,5611,13708)(1971,7794,10033,6545,8073,13524,14133,8310,6071,9548,6700,2580)(1975,2101,7859,9820,5895,9171,14129,13992,8245,6284,10209,6933)(1988,10865,4121,13949,3596,3216,14116,5239,11862,2155,12508,12888)(1989,9769,10898,11773,10372,2125,14115,6335,5085,4331,5732,13979)(1995,14050,6427,4536,4564,6458,14109,2054,9677,11568,11540,9646)(1996,12965,13204,2360,11340,4047,14108,3139,2900,13744,4764,10726)(1997,11869,4009,13494,3475,2956,14107,4224,10764,2610,12629,13148)(2004,13855,6315,4070,4443,6198,14100,2249,9789,10692,11661,9906)(2009,7077,9587,6500,9041,14064,14095,9027,6517,9604,7063,2040)(2013,13660,6214,4946,4322,5938,14080,2444,9890,11158,11782,10045)(2015,11479,5116,13893,3233,3756,14089,4625,10988,2200,12871,12227)(2018,6882,9475,6034,8920,13804,14086,9222,6629,10070,7184,2179)(2022,2520,7301,10629,5411,8109,14082,13584,8803,5475,9362,7874)(2025,10067,11781,11141,9888,2526,14079,6037,4312,4842,6216,13578)(2027,7897,9363,5447,8799,13654,14077,8207,5410,10536,7305,2450)(2031,2204,7189,10053,6621,9301,14073,13900,8915,5930,9483,6803)(2034,12248,12879,2183,10977,4697,14070,3856,3225,13800,5127,11396)(2045,9872,11680,10675,9767,2255,14059,6232,4424,4098,6337,13838)(2052,13178,12655,2593,10735,4177,14052,2915,3449,13511,4038,11927)(2053,10762,4791,13727,2870,3086,14051,4011,11313,2377,13234,13018)(2063,9621,11465,10879,9413,2600,13920,6483,4639,5214,5360,13504)(2065,7440,10378,6527,8324,13728,13918,8664,5726,9577,7780,2365)(2069,14023,5674,4852,4936,5602,14035,2081,10430,11252,11168,10502)(2071,11842,4576,13810,3847,3431,14033,4262,11517,2294,12257,12673)(2072,9426,11353,11634,10623,2340,14032,5347,4751,4470,5481,13764)(2074,7245,10266,5940,8203,13468,14030,8859,5838,10153,7901,2636)(2079,12611,12339,2221,11591,4251,14014,3493,3765,13883,4513,11853)(2087,2567,7980,10080,5904,8844,14017,13537,8124,6024,10200,7249)(2089,13696,5562,4397,4815,5342,14015,2408,10542,11707,11289,9431)(2096,2372,7747,9614,5783,8705,14008,13732,8236,6479,10321,7399)(2098,13501,5329,5262,4694,6523,14006,2603,9323,10842,11410,9570)(2105,2177,7635,10490,5662,8445,13999,13927,8469,5614,10442,7659)(2108,12210,11994,2620,11349,5172,13996,3883,2779,13484,4755,10932)(2109,11125,4130,13754,3484,2750,13995,4979,11974,2350,12620,12012)(2117,13225,13213,2165,11228,4912,13987,2879,2891,13939,4876,11192)(2121,7543,9708,5429,9050,13869,13983,8561,6396,9344,7054,2235)(2128,9518,10683,11867,10018,2470,13976,6586,4090,4116,6086,13634)(2130,7337,9596,6173,8929,13598,13974,8756,6508,9810,7175,2506)(2134,13799,6223,4630,4210,5472,13959,2184,9881,11474,11894,10632)(2135,12714,13000,2443,10986,4381,13969,3269,3104,13661,5118,11723)(2136,11618,5136,13577,3121,3290,13968,4365,10968,2527,12983,12814)(2137,10533,11902,11401,9897,2210,13967,5450,4191,4703,6207,13894)(2152,2464,7198,9847,6509,8714,13952,13629,8906,6257,9595,7269)(2154,13604,6111,4164,4089,6543,13950,2500,9993,11940,10684,9440)(2161,2269,7086,9392,6388,8575,13943,13835,9018,5381,9716,7529)(2173,11997,12664,2387,11954,5042,13931,2776,3440,13706,4150,11062)(2174,10901,4800,13521,2758,3951,13930,5192,11304,2583,12015,12153)(2191,13077,12460,2481,11600,4056,13913,2906,3644,13623,4504,10717)(2192,10650,4596,13615,3735,2965,13912,4002,11508,2489,12369,13139)(2213,6994,9941,6155,9180,13813,13891,9110,6163,9949,6924,2291)(2217,2632,7756,9419,5671,8118,13887,13472,8348,5354,10433,7975)(2219,13761,5338,5067,4582,5947,13885,2332,9435,11037,11522,10157)(2222,6667,9829,5568,9059,13663,13871,8106,6275,10415,7045,2441)(2226,2316,7655,10174,5550,9310,13878,13788,8449,5809,10554,6794)(2228,13445,6557,4480,4461,5797,13876,2659,9547,11503,11643,10296)(2229,12360,12003,2304,11237,4717,13875,3744,2770,13679,4867,11387)(2230,11264,4139,13438,3372,3626,13874,4829,11965,2545,12732,12478)(2231,10179,10916,11262,10148,2535,13873,5925,5188,4721,5956,13569)(2240,9984,10804,10796,10027,2275,13864,6120,5300,5308,6077,13829)(2248,10874,5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093)(6234,6727,9870,8046)(6235,6774,9869,7999)(6236,6689,9868,8084)(6237,6706,9856,8067)(6238,6753,9866,8020)(6239,6668,9865,8105)(6240,6715,9864,8058)(6241,6762,9863,8011)(6242,6677,9862,8085)(6243,6724,9861,8049)(6244,6771,9860,8002)(6245,6697,9859,8076)(6246,6733,9858,8040)(6247,6659,9857,7993)(6248,6676,9845,8097)(6249,6712,9855,8061)(6250,6759,9854,8014)(6251,6685,9853,8088)(6252,6721,9852,8041)(6253,6768,9851,8005)(6254,6694,9850,8079)(6255,6741,9849,8032)(6256,6656,9848,7996)(6257,6703,9847,8070)(6258,6750,9846,8023)(6259,6756,9834,8017)(6260,6682,9844,8091)(6261,6729,9843,8044)(6262,6765,9842,7997)(6263,6691,9841,8082)(6264,6738,9840,8035)(6265,6664,9839,7988)(6266,6700,9838,8073)(6267,6747,9837,8026)(6268,6673,9836,8100)(6269,6720,9835,8053)(6270,6726,9823,8047)(6271,6773,9833,8000)(6272,6688,9832,8074)(6273,6735,9831,8038)(6274,6661,9830,7991)(6275,6708,9829,8065)(6276,6744,9828,8029)(6277,6670,9827,8103)(6278,6717,9826,8056)(6279,6764,9825,8009)(6280,6679,9824,8094)(6281,6696,9812,8077)(6282,6732,9822,8030)(6283,6658,9821,7994)(6284,6705,9820,8068)(6285,6752,9819,8021)(6286,6667,9818,8106)(6287,6714,9817,8059)(6288,6761,9816,8012)(6289,6687,9815,8086)(6290,6723,9814,8050)(6291,6770,9813,8003)(6534,9075,9438,6897)(6535,9122,9448,6982)(6536,9169,9447,6935)(6537,9095,9446,7009)(6538,9131,9445,6973)(6539,9178,9444,6926)(6540,9104,9443,7000)(6541,9151,9442,6953)(6542,9187,9441,6917)(6543,9113,9440,6991)(6544,9160,9439,6944)(6545,9166,9548,6938)(6546,9092,9558,7012)(6547,9139,9557,6965)(6548,9175,9556,6929)(6549,9101,9555,7003)(6550,9148,9554,6956)(6551,9195,9553,6909)(6552,9110,9552,6994)(6553,9157,9551,6947)(6554,9083,9550,6900)(6555,9119,9549,6974)(6556,9136,9537,6968)(6557,9183,9547,6921)(6558,9098,9546,7006)(6559,9145,9545,6959)(6560,9192,9544,6912)(6561,9118,9543,6986)(6562,9154,9542,6950)(6563,9080,9541,6903)(6564,9127,9540,6977)(6565,9163,9539,6930)(6566,9089,9538,7015)(6567,9106,9526,6998)(6568,9142,9536,6962)(6569,9189,9535,6915)(6570,9115,9534,6989)(6571,9162,9533,6942)(6572,9077,9532,6906)(6573,9124,9531,6980)(6574,9171,9530,6933)(6575,9086,9529,7007)(6576,9133,9528,6971)(6577,9180,9527,6924)(6578,9186,9515,6918)(6579,9112,9525,6992)(6580,9159,9524,6945)(6581,9085,9523,6898)(6582,9121,9522,6983)(6583,9168,9521,6936)(6584,9094,9520,7010)(6585,9130,9519,6963)(6586,9177,9518,6927)(6587,9103,9517,7001)(6588,9150,9516,6954)(6589,9156,9504,6948)(6590,9082,9514,6901)(6591,9129,9513,6975)(6592,9165,9512,6939)(6593,9091,9511,7013)(6594,9138,9510,6966)(6595,9174,9509,6919)(6596,9100,9508,7004)(6597,9147,9507,6957)(6598,9194,9506,6910)(6599,9109,9505,6995)(6600,9126,9493,6978)(6601,9173,9503,6931)(6602,9088,9502,7016)(6603,9135,9501,6969)(6604,9182,9500,6922)(6605,9097,9499,6996)(6606,9144,9498,6960)(6607,9191,9497,6913)(6608,9117,9496,6987)(6609,9153,9495,6951)(6610,9079,9494,6904)(6611,9096,9482,7008)(6612,9132,9492,6972)(6613,9179,9491,6925)(6614,9105,9490,6999)(6615,9141,9489,6952)(6616,9188,9488,6916)(6617,9114,9487,6990)(6618,9161,9486,6943)(6619,9076,9485,6907)(6620,9123,9484,6981)(6621,9170,9483,6934)(6622,9176,9471,6928)(6623,9102,9481,7002)(6624,9149,9480,6955)(6625,9185,9479,6908)(6626,9111,9478,6993)(6627,9158,9477,6946)(6628,9084,9476,6899)(6629,9120,9475,6984)(6630,9167,9474,6937)(6631,9093,9473,7011)(6632,9140,9472,6964)(6633,9146,9460,6958)(6634,9193,9470,6911)(6635,9108,9469,6985)(6636,9155,9468,6949)(6637,9081,9467,6902)(6638,9128,9466,6976)(6639,9164,9465,6940)(6640,9090,9464,7014)(6641,9137,9463,6967)(6642,9184,9462,6920)(6643,9099,9461,7005)(6644,9116,9449,6988)(6645,9152,9459,6941)(6646,9078,9458,6905)(6647,9125,9457,6979)(6648,9172,9456,6932)(6649,9087,9455,7017)(6650,9134,9454,6970)(6651,9181,9453,6923)(6652,9107,9452,6997)(6653,9143,9451,6961)(6654,9190,9450,6914)(7260,7623,8712,8349)(7261,7670,8722,8434)(7262,7717,8721,8387)(7263,7643,8720,8461)(7264,7679,8719,8425)(7265,7726,8718,8378)(7266,7652,8717,8452)(7267,7699,8716,8405)(7268,7735,8715,8369)(7269,7661,8714,8443)(7270,7708,8713,8396)(7271,7714,8822,8390)(7272,7640,8832,8464)(7273,7687,8831,8417)(7274,7723,8830,8381)(7275,7649,8829,8455)(7276,7696,8828,8408)(7277,7743,8827,8361)(7278,7658,8826,8446)(7279,7705,8825,8399)(7280,7631,8824,8352)(7281,7667,8823,8426)(7282,7684,8811,8420)(7283,7731,8821,8373)(7284,7646,8820,8458)(7285,7693,8819,8411)(7286,7740,8818,8364)(7287,7666,8817,8438)(7288,7702,8816,8402)(7289,7628,8815,8355)(7290,7675,8814,8429)(7291,7711,8813,8382)(7292,7637,8812,8467)(7293,7654,8800,8450)(7294,7690,8810,8414)(7295,7737,8809,8367)(7296,7663,8808,8441)(7297,7710,8807,8394)(7298,7625,8806,8358)(7299,7672,8805,8432)(7300,7719,8804,8385)(7301,7634,8803,8459)(7302,7681,8802,8423)(7303,7728,8801,8376)(7304,7734,8789,8370)(7305,7660,8799,8444)(7306,7707,8798,8397)(7307,7633,8797,8350)(7308,7669,8796,8435)(7309,7716,8795,8388)(7310,7642,8794,8462)(7311,7678,8793,8415)(7312,7725,8792,8379)(7313,7651,8791,8453)(7314,7698,8790,8406)(7315,7704,8778,8400)(7316,7630,8788,8353)(7317,7677,8787,8427)(7318,7713,8786,8391)(7319,7639,8785,8465)(7320,7686,8784,8418)(7321,7722,8783,8371)(7322,7648,8782,8456)(7323,7695,8781,8409)(7324,7742,8780,8362)(7325,7657,8779,8447)(7326,7674,8767,8430)(7327,7721,8777,8383)(7328,7636,8776,8468)(7329,7683,8775,8421)(7330,7730,8774,8374)(7331,7645,8773,8448)(7332,7692,8772,8412)(7333,7739,8771,8365)(7334,7665,8770,8439)(7335,7701,8769,8403)(7336,7627,8768,8356)(7337,7644,8756,8460)(7338,7680,8766,8424)(7339,7727,8765,8377)(7340,7653,8764,8451)(7341,7689,8763,8404)(7342,7736,8762,8368)(7343,7662,8761,8442)(7344,7709,8760,8395)(7345,7624,8759,8359)(7346,7671,8758,8433)(7347,7718,8757,8386)(7348,7724,8745,8380)(7349,7650,8755,8454)(7350,7697,8754,8407)(7351,7733,8753,8360)(7352,7659,8752,8445)(7353,7706,8751,8398)(7354,7632,8750,8351)(7355,7668,8749,8436)(7356,7715,8748,8389)(7357,7641,8747,8463)(7358,7688,8746,8416)(7359,7694,8734,8410)(7360,7741,8744,8363)(7361,7656,8743,8437)(7362,7703,8742,8401)(7363,7629,8741,8354)(7364,7676,8740,8428)(7365,7712,8739,8392)(7366,7638,8738,8466)(7367,7685,8737,8419)(7368,7732,8736,8372)(7369,7647,8735,8457)(7370,7664,8723,8440)(7371,7700,8733,8393)(7372,7626,8732,8357)(7373,7673,8731,8431)(7374,7720,8730,8384)(7375,7635,8729,8469)(7376,7682,8728,8422)(7377,7729,8727,8375)(7378,7655,8726,8449)(7379,7691,8725,8413)(7380,7738,8724,8366)

Conjugacy classes & character table

30 conjugacy classes — view the full character table.

Relationships

GAP

Past the SmallGroups library coverage — no SmallGroups id. Construct it from its permutation generators:

gap> G := Group((1,13556,6777,12465,6776,13561,10,2427,9206,3518,9196,2422)(2,12471,13554,10289,13552,12470,9,3512,2429,5694,2420,3513)(3,11375,5690,6782,5687,11379,8,4608,10293,9201,10285,4604)(4,10290,12467,4606,12463,10288,7,5693,3516,11377,3509,5695)(5,9205,4603,2430,4598,9197,6,6778,11380,13553,11374,6786)(11,12265,13442,9823,13431,12320,110,3828,2651,6270,2541,3773)(12,11180,5578,7647,5566,11240,120,4924,10526,8457,10406,4864)(13,10095,12355,4140,12342,10149,119,6009,3749,11964,3630,5955)(14,8999,4491,1964,4477,9058,118,7105,11613,14140,11495,7046)(15,7914,11268,14429,11253,7967,117,8190,4836,1675,4719,8137)(16,5498,3404,10922,3388,5545,116,10606,12700,5182,12584,10559)(17,4402,10181,8735,10164,4465,115,11702,5923,7369,5808,11639)(18,3317,2317,6559,2299,3374,114,12787,13787,9545,13673,12730)(19,2232,9094,3052,9075,2283,113,13872,7010,13052,6897,13821)(20,1136,1230,876,1210,1192,112,327,233,587,121,271)(21,13361,6676,12010,6655,13411,111,1412,8097,2763,7986,1362)(22,9889,12243,5005,12221,9878,99,6204,3850,11088,3751,6215)(23,8804,4379,1498,4356,8798,109,7300,11725,14606,11616,7306)(24,7719,11156,13963,11132,7707,108,8385,4948,2141,4840,8397)(25,6623,3292,11787,3267,6616,107,9481,12812,4317,12705,9488)(26,4207,10069,8280,10043,4194,106,11897,6035,7824,5929,11910)(27,3122,2205,6104,2178,3103,105,12982,13899,10000,13794,13001)(28,2026,8982,3917,8954,2023,104,14078,7122,12187,7018,14081)(29,941,1118,410,1089,932,103,522,345,1053,242,531)(30,14497,7895,12875,7865,14482,102,1607,8209,3229,8107,1622)(31,12070,13341,9368,13310,12060,101,2703,1432,5405,1331,2713)(32,10985,5477,7192,5445,10969,100,5119,10627,8912,10527,5135)(33,7392,11044,13497,11011,7436,88,8701,5049,2596,4961,8657)(34,6307,3180,11321,3146,6356,98,9797,12924,4783,12826,9748)(35,5222,9957,9145,9922,5265,97,10882,6147,6959,6050,10839)(36,2795,2093,5638,2057,2843,96,13309,14011,10466,13915,13261)(37,1710,8870,3462,8833,1752,95,14394,7234,12642,7139,14352)(38,625,1006,1286,968,661,94,838,457,177,363,802)(39,14170,7783,12409,7744,14222,93,1934,8321,3695,8228,1882)(40,13085,14560,10233,14520,13131,92,3019,1544,5871,1452,2973)(41,10669,5365,6726,5324,10709,91,4104,9408,8047,9317,4064)(42,9573,12142,4550,12100,9618,90,6531,3962,11554,3872,6486)(43,8488,4278,2374,4235,8527,89,7616,11826,13730,11737,7577)(44,5016,9845,8679,9801,4994,77,11077,6248,7414,6171,11099)(45,3931,1981,6503,1936,3914,87,12173,14123,9601,14036,12190)(46,1515,8758,2996,8712,1492,86,14589,7346,13108,7260,14612)(47,419,894,820,847,401,85,1044,569,643,484,1062)(48,13975,7671,13285,7623,13951,84,2129,8433,2819,8349,2153)(49,12890,14448,9778,14399,12860,83,3214,1656,6326,1573,3244)(50,11794,6584,7591,6534,11780,82,4310,9520,8513,9438,4324)(51,9378,12030,4084,11979,9358,81,5395,2743,10689,2662,5415)(52,8293,4166,1908,4114,8267,80,7811,11938,14196,11858,7837)(53,7197,10943,14373,10890,7176,79,8907,5161,1731,5082,8928)(54,6112,3079,10866,3025,6085,78,9992,13025,5238,12947,10019)(55,2640,8646,3861,8591,2552,66,13453,7447,12232,7381,13541)(56,224,782,354,726,141,76,1239,681,1109,605,1322)(57,13780,7559,12819,7502,13691,75,2324,8545,3285,8470,2413)(58,12684,14336,10643,14278,12600,74,3420,1768,5461,1694,3504)(59,11599,6472,7136,6413,11509,73,4505,9632,8968,9559,4595)(60,10514,13249,4960,13189,10418,72,5590,2855,11144,2783,5686)(61,8087,4054,1442,3993,8007,71,6686,10719,13331,10648,6766)(62,7002,10831,13907,10769,6916,70,9102,5273,2197,5203,9188)(63,5917,2967,11731,2904,5825,69,10187,13137,4373,13068,10279)(64,4821,9744,8224,9680,4734,68,11283,6360,7880,6292,11370)(65,3736,1880,6048,1815,3643,67,12368,14224,10056,14157,12461)(122,13816,6797,12270,6675,14426,1220,2277,9307,3834,8098,1678)(123,12731,13563,10094,13451,12004,1219,3373,2530,6010,2653,2769)(124,11646,5699,7918,5586,10913,1218,4458,10405,8186,10518,5191)(125,10550,12476,4400,12362,9833,1217,5554,3628,11693,3742,6271)(126,8134,4612,2224,4497,8742,1216,7970,11492,13880,11607,7362)(127,7049,11389,13358,11273,7651,1215,9055,4715,1415,4831,8453)(128,5953,3525,11182,3408,6560,1214,10151,12579,4922,12696,9544)(129,4868,10302,9006,10184,4138,1213,11236,5802,7098,5920,11966)(130,3783,2438,5499,2319,3047,1212,12321,13666,10605,13785,13046)(131,1356,9215,3312,9095,1967,1211,13417,6889,12792,7009,14137)(132,12536,13462,9628,13330,13075,1320,3568,2642,6476,1443,2908)(133,11440,5598,7452,5465,10653,1330,4653,10506,8652,10639,3999)(134,10355,12364,5276,12241,9562,1329,5749,3729,10828,3863,6421)(135,9270,4500,1769,4376,8471,1328,6834,11604,14335,11728,7512)(136,6843,11277,14223,11152,7391,1327,9261,4827,1870,4952,8592)(137,5758,3413,10716,3287,6300,1326,10346,12691,4057,12817,9683)(138,4673,10190,8540,10063,5209,1325,11431,5914,7564,6041,10774)(139,3577,2326,6364,2198,2787,1324,12527,13778,9740,13906,13196)(140,2492,9103,2857,8974,1696,1323,13612,7001,13247,7130,14287)(142,13621,6685,13135,7885,14166,1321,2483,8088,2969,8219,1817)(143,10160,12263,4810,12120,9423,1309,5944,3841,11294,3984,5350)(144,9064,4399,2634,4255,8332,1319,7029,11705,13470,11849,7772)(145,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201)(1930,14003,5869,4964,4060,5723,14174,2090,10235,11019,10713,10381)(1932,11833,4782,13922,2971,3552,14172,4271,11322,2061,13133,12552)(1933,9406,11559,11746,9747,2461,14171,5367,4545,4237,6357,13643)(1935,7236,10461,6052,8658,13589,14169,8868,5632,9931,7446,2515)(1939,13958,5766,4303,5169,6328,14044,2146,10338,11801,10935,9776)(1940,12862,12543,2127,11945,5237,14043,3242,3561,13977,4159,10867)(1948,13752,5654,5179,5048,6068,14156,2352,10439,10925,11056,10036)(1950,11582,4567,14126,3959,3886,14154,4522,11537,1978,12145,12218)(1953,6974,10257,6267,8315,13934,14151,9119,5847,9837,7789,2170)(1957,2623,6752,9531,6137,8239,14147,13481,8021,6573,9967,7854)(1958,12351,12330,2537,11703,4838,14135,3632,3774,13567,4401,11266)(1959,11255,4455,13671,3838,3747,14145,4728,11638,2433,12266,12357)(1960,10170,11232,11484,10614,2656,14144,5813,4872,4609,5490,13448)(1962,6658,10145,5801,8194,13784,14142,7994,5959,10303,7910,2320)(1966,2307,7971,10396,6016,8100,14138,13676,8133,5708,10088,6673)(1968,13436,5553,4713,4927,5918,14136,2547,10551,11391,11177,10175)(1969,9975,11131,10908,10493,2396,14124,6129,4973,5196,5611,13708)(1971,7794,10033,6545,8073,13524,14133,8310,6071,9548,6700,2580)(1975,2101,7859,9820,5895,9171,14129,13992,8245,6284,10209,6933)(1988,10865,4121,13949,3596,3216,14116,5239,11862,2155,12508,12888)(1989,9769,10898,11773,10372,2125,14115,6335,5085,4331,5732,13979)(1995,14050,6427,4536,4564,6458,14109,2054,9677,11568,11540,9646)(1996,12965,13204,2360,11340,4047,14108,3139,2900,13744,4764,10726)(1997,11869,4009,13494,3475,2956,14107,4224,10764,2610,12629,13148)(2004,13855,6315,4070,4443,6198,14100,2249,9789,10692,11661,9906)(2009,7077,9587,6500,9041,14064,14095,9027,6517,9604,7063,2040)(2013,13660,6214,4946,4322,5938,14080,2444,9890,11158,11782,10045)(2015,11479,5116,13893,3233,3756,14089,4625,10988,2200,12871,12227)(2018,6882,9475,6034,8920,13804,14086,9222,6629,10070,7184,2179)(2022,2520,7301,10629,5411,8109,14082,13584,8803,5475,9362,7874)(2025,10067,11781,11141,9888,2526,14079,6037,4312,4842,6216,13578)(2027,7897,9363,5447,8799,13654,14077,8207,5410,10536,7305,2450)(2031,2204,7189,10053,6621,9301,14073,13900,8915,5930,9483,6803)(2034,12248,12879,2183,10977,4697,14070,3856,3225,13800,5127,11396)(2045,9872,11680,10675,9767,2255,14059,6232,4424,4098,6337,13838)(2052,13178,12655,2593,10735,4177,14052,2915,3449,13511,4038,11927)(2053,10762,4791,13727,2870,3086,14051,4011,11313,2377,13234,13018)(2063,9621,11465,10879,9413,2600,13920,6483,4639,5214,5360,13504)(2065,7440,10378,6527,8324,13728,13918,8664,5726,9577,7780,2365)(2069,14023,5674,4852,4936,5602,14035,2081,10430,11252,11168,10502)(2071,11842,4576,13810,3847,3431,14033,4262,11517,2294,12257,12673)(2072,9426,11353,11634,10623,2340,14032,5347,4751,4470,5481,13764)(2074,7245,10266,5940,8203,13468,14030,8859,5838,10153,7901,2636)(2079,12611,12339,2221,11591,4251,14014,3493,3765,13883,4513,11853)(2087,2567,7980,10080,5904,8844,14017,13537,8124,6024,10200,7249)(2089,13696,5562,4397,4815,5342,14015,2408,10542,11707,11289,9431)(2096,2372,7747,9614,5783,8705,14008,13732,8236,6479,10321,7399)(2098,13501,5329,5262,4694,6523,14006,2603,9323,10842,11410,9570)(2105,2177,7635,10490,5662,8445,13999,13927,8469,5614,10442,7659)(2108,12210,11994,2620,11349,5172,13996,3883,2779,13484,4755,10932)(2109,11125,4130,13754,3484,2750,13995,4979,11974,2350,12620,12012)(2117,13225,13213,2165,11228,4912,13987,2879,2891,13939,4876,11192)(2121,7543,9708,5429,9050,13869,13983,8561,6396,9344,7054,2235)(2128,9518,10683,11867,10018,2470,13976,6586,4090,4116,6086,13634)(2130,7337,9596,6173,8929,13598,13974,8756,6508,9810,7175,2506)(2134,13799,6223,4630,4210,5472,13959,2184,9881,11474,11894,10632)(2135,12714,13000,2443,10986,4381,13969,3269,3104,13661,5118,11723)(2136,11618,5136,13577,3121,3290,13968,4365,10968,2527,12983,12814)(2137,10533,11902,11401,9897,2210,13967,5450,4191,4703,6207,13894)(2152,2464,7198,9847,6509,8714,13952,13629,8906,6257,9595,7269)(2154,13604,6111,4164,4089,6543,13950,2500,9993,11940,10684,9440)(2161,2269,7086,9392,6388,8575,13943,13835,9018,5381,9716,7529)(2173,11997,12664,2387,11954,5042,13931,2776,3440,13706,4150,11062)(2174,10901,4800,13521,2758,3951,13930,5192,11304,2583,12015,12153)(2191,13077,12460,2481,11600,4056,13913,2906,3644,13623,4504,10717)(2192,10650,4596,13615,3735,2965,13912,4002,11508,2489,12369,13139)(2213,6994,9941,6155,9180,13813,13891,9110,6163,9949,6924,2291)(2217,2632,7756,9419,5671,8118,13887,13472,8348,5354,10433,7975)(2219,13761,5338,5067,4582,5947,13885,2332,9435,11037,11522,10157)(2222,6667,9829,5568,9059,13663,13871,8106,6275,10415,7045,2441)(2226,2316,7655,10174,5550,9310,13878,13788,8449,5809,10554,6794)(2228,13445,6557,4480,4461,5797,13876,2659,9547,11503,11643,10296)(2229,12360,12003,2304,11237,4717,13875,3744,2770,13679,4867,11387)(2230,11264,4139,13438,3372,3626,13874,4829,11965,2545,12732,12478)(2231,10179,10916,11262,10148,2535,13873,5925,5188,4721,5956,13569)(2240,9984,10804,10796,10027,2275,13864,6120,5300,5308,6077,13829)(2248,1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2756,13229,2576,11423,4593,14177,3348,2875,13528,4681,11511)(1930,13847,6451,4762,4642,5677,14174,2257,9653,11342,11451,10427)(1932,10574,10802,11536,10333,2414,14172,5530,5291,4568,5771,13690)(1935,11665,4035,13711,3563,3498,14169,4439,10738,2393,12541,12595)(1936,12142,12187,2009,11582,4519,14036,3962,3917,14095,4522,11585)(1941,9960,11091,10958,10492,2340,14042,6144,5013,5146,5612,13764)(1945,2094,7825,9876,5891,9113,14038,14010,8279,6228,10213,6991)(1946,7778,10006,6608,8071,13471,14037,8326,6098,9496,6702,2633)(1950,9559,11613,11554,9663,1995,14154,6413,4491,4550,6441,14109)(1953,10650,4835,13729,2882,3090,14151,4002,11269,2375,13211,13014)(1956,13072,12698,2605,10753,4174,14148,2911,3406,13499,4020,11930)(1964,7108,9587,6458,8954,14123,14140,8996,6517,9646,7018,1981)(1968,13883,6321,4045,4364,6255,14136,2221,9783,10728,11619,9849)(1971,11311,4416,13590,3776,3731,14133,4793,11688,2514,12328,12373)(1972,2354,7928,10322,5956,8089,14132,13739,8176,5782,10148,6684)(1973,6718,10098,5723,8136,13778,14131,8055,5995,10381,7968,2326)(1974,12402,12279,2455,11647,4826,14130,3702,3825,13649,4457,11278)(1977,13493,5501,4641,4866,5910,14127,2611,10603,11463,11238,10194)(1979,10220,11194,11415,10557,2647,14125,5884,4910,4689,5547,13457)(1988,9830,11705,10680,9728,2181,14116,6274,4399,4093,6376,13802)(1992,13063,13191,2316,11320,4015,14112,3041,2792,13788,4784,10747)(2000,11972,3997,13451,3460,2931,14104,4132,10655,2653,12644,13173)(2004,13753,5604,5087,5052,6096,14100,2351,10500,10896,11052,10008)(2010,2625,6689,9448,6142,8275,14094,13479,8084,6535,9962,7829)(2011,6978,10201,6180,8322,13964,14093,9126,5903,9803,7782,2140)(2015,10090,11808,11247,9914,2488,14089,6014,4296,4857,6190,13616)(2019,2224,7211,10154,6644,9272,14085,13880,8893,5950,9449,6832)(2020,7919,9392,5555,8824,13619,14084,8185,5381,10538,7280,2485)(2021,12272,12893,2298,11004,4667,14083,3832,3211,13806,5100,11437)(2024,9700,10999,11843,10306,2154,14069,6404,5105,4261,5798,13950)(2027,10780,4221,14018,3525,3238,14077,5313,11883,2086,12579,12866)(2039,12933,12474,2148,11898,5319,14065,3171,3619,13956,4206,10785)(2042,14024,5707,4323,5117,6403,14062,2080,10397,11770,10987,9701)(2046,2495,7314,10611,5389,8127,14047,13609,8790,5493,9384,7977)(2047,6848,9484,6012,8889,13805,14057,9256,6620,10092,7215,2288)(2051,13623,6218,4919,4299,5948,14053,2481,9886,11185,11805,10156)(2056,11441,5133,13879,3209,3769,14048,4663,10971,2225,12895,12335)(2057,13249,13285,2177,11228,4900,13915,2855,2819,13927,4876,11204)(2067,7565,9773,5434,9048,13852,13916,8539,6331,9328,7056,2252)(2069,13939,5566,4948,4960,5650,14035,2165,10406,11156,11144,10454)(2071,9346,11259,11722,10640,2376,14033,5427,4724,4382,5464,13717)(2074,11768,4481,13897,3870,3471,14030,4336,11502,2207,12234,12633)(2076,7164,10174,6030,8219,13518,14028,8940,5809,10074,7885,2586)(2084,2531,7173,9894,6431,8815,14020,13573,8931,6210,9673,7289)(2089,13670,6088,4202,4010,6636,14015,2434,10016,11891,10763,9468)(2092,11098,4183,13758,3422,2671,14012,5006,11921,2346,12682,11981)(2093,2141,7695,10490,5602,8349,14011,13963,8409,5614,10502,7623)(2095,12178,12046,2623,11293,5086,14009,3926,2727,13481,4811,10897)(2103,7435,10387,6487,8284,13704,14001,8669,5717,9617,7820,2400)(2109,9606,11483,10837,9374,2573,13995,6498,4621,5267,5399,13531)(2113,12718,12958,2484,10977,4407,13991,3386,3135,13620,5127,11697)(2116,13809,6191,4659,4196,5491,13988,2295,9913,11445,11908,10613)(2118,10547,11873,11433,9887,2228,13986,5557,4231,4671,6217,13876)(2121,11627,5095,13608,3106,3312,13983,4466,11009,2496,12998,12792)(2125,13540,5371,5255,4698,6488,13979,2564,9402,10849,11406,9616)(2131,2401,7798,9605,5788,8667,13973,13703,8306,6499,10316,7437)(2139,10957,4797,13469,2669,3964,13965,5147,11307,2635,11983,12140)(2142,12048,12671,2334,11860,5059,13962,2725,3433,13770,4123,11045)(2145,9476,10766,11890,9952,2535,13948,6628,4007,4214,6152,13569)(2150,7294,9670,6198,8862,13666,13954,8810,6434,9906,7242,2438)(2158,2551,7890,10062,5853,8853,13946,13432,8214,6042,10251,7251)(2160,12588,12252,2195,11544,4248,13944,3395,3852,13909,4560,11856)(2163,13679,5474,4370,4763,5343,13941,2304,10630,11734,11330,9430)(2167,2271,7081,9327,6366,8508,13926,13833,9023,5325,9738,7596)(2178,13025,13052,2213,10874,5281,13794,3079,3052,13891,5230,10823)(2190,13726,5344,4984,4485,6031,13914,2378,9429,11120,11498,10073)(2196,2587,7760,9345,5575,8210,13908,13517,8344,5428,10408,7894)(2197,6951,9941,6077,9075,13899,13907,9153,6163,10027,6897,2205)(2201,10063,11548,11023,9347,2302,13903,6041,4556,5081,5426,13681)(2206,7881,10452,5342,8257,13433,13898,8223,5652,9431,7847,2550)(2233,6810,10555,5909,8443,13740,13860,9294,5549,10195,7661,2364)(2234,12505,12736,2641,11954,4788,13870,3599,3368,13463,4150,11316)(2237,13585,5958,4827,5173,5883,13867,2508,10146,11277,10931,10221)(2239,10323,11640,11601,9533,2609,13865,5781,4464,4503,6571,13495)(2242,11414,4862,13776,2752,3704,13862,4690,11231,2328,12021,12400)(2243,2457,7043,10508,6263,8062,13861,13647,9061,5596,9841,6711)(2248,9922,10831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