← Prev (#24925773) Next (#24925775) →
Aliases
Splittings
Subgroups
10 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 2715 points:
(1,2)(3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2070,2071,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,2180,2181,2182,2183,2184,2185,2186,2187,2188,2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,2217,2218,2219,2220,2221,2222,2223,2224,2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2236,2237,2238,2239,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,2253,2254,2255,2256,2257,2258,2259,2260,2261,2262,2263,2264,2265,2266,2267,2268,2269,2270,2271,2272,2273,2274,2275,2276,2277,2278,2279,2280,2281,2282,2283,2284,2285,2286,2287,2288,2289,2290,2291,2292,2293,2294,2295,2296,2297,2298,2299,2300,2301,2302,2303,2304,2305,2306,2307,2308,2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,2320,2321,2322,2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,2333,2334,2335,2336,2337,2338,2339,2340,2341,2342,2343,2344,2345,2346,2347,2348,2349,2350,2351,2352,2353,2354,2355,2356,2357,2358,2359,2360,2361,2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,2372,2373,2374,2375,2376,2377,2378,2379,2380,2381,2382,2383,2384,2385,2386,2387,2388,2389,2390,2391,2392,2393,2394,2395,2396,2397,2398,2399,2400,2401,2402,2403,2404,2405,2406,2407,2408,2409,2410,2411,2412,2413,2414,2415,2416,2417,2418,2419,2420,2421,2422,2423,2424,2425,2426,2427,2428,2429,2430,2431,2432,2433,2434,2435,2436,2437,2438,2439,2440,2441,2442,2443,2444,2445,2446,2447,2448,2449,2450,2451,2452,2453,2454,2455,2456,2457,2458,2459,2460,2461,2462,2463,2464,2465,2466,2467,2468,2469,2470,2471,2472,2473,2474,2475,2476,2477,2478,2479,2480,2481,2482,2483,2484,2485,2486,2487,2488,2489,2490,2491,2492,2493,2494,2495,2496,2497,2498,2499,2500,2501,2502,2503,2504,2505,2506,2507,2508,2509,2510,2511,2512,2513,2514,2515,2516,2517,2518,2519,2520,2521,2522,2523,2524,2525,2526,2527,2528,2529,2530,2531,2532,2533,2534,2535,2536,2537,2538,2539,2540,2541,2542,2543,2544,2545,2546,2547,2548,2549,2550,2551,2552,2553,2554,2555,2556,2557,2558,2559,2560,2561,2562,2563,2564,2565,2566,2567,2568,2569,2570,2571,2572,2573,2574,2575,2576,2577,2578,2579,2580,2581,2582,2583,2584,2585,2586,2587,2588,2589,2590,2591,2592,2593,2594,2595,2596,2597,2598,2599,2600,2601,2602,2603,2604,2605,2606,2607,2608,2609,2610,2611,2612,2613,2614,2615,2616,2617,2618,2619,2620,2621,2622,2623,2624,2625,2626,2627,2628,2629,2630,2631,2632,2633,2634,2635,2636,2637,2638,2639,2640,2641,2642,2643,2644,2645,2646,2647,2648,2649,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,2662,2663,2664,2665,2666,2667,2668,2669,2670,2671,2672,2673,2674,2675,2676,2677,2678,2679,2680,2681,2682,2683,2684,2685,2686,2687,2688,2689,2690,2691,2692,2693,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,2705,2706,2707,2708,2709,2710,2711,2712,2713,2714,2715);(4,2715)(5,2714)(6,2713)(7,2712)(8,2711)(9,2710)(10,2709)(11,2708)(12,2707)(13,2706)(14,2705)(15,2704)(16,2703)(17,2702)(18,2701)(19,2700)(20,2699)(21,2698)(22,2697)(23,2696)(24,2695)(25,2694)(26,2693)(27,2692)(28,2691)(29,2690)(30,2689)(31,2688)(32,2687)(33,2686)(34,2685)(35,2684)(36,2683)(37,2682)(38,2681)(39,2680)(40,2679)(41,2678)(42,2677)(43,2676)(44,2675)(45,2674)(46,2673)(47,2672)(48,2671)(49,2670)(50,2669)(51,2668)(52,2667)(53,2666)(54,2665)(55,2664)(56,2663)(57,2662)(58,2661)(59,2660)(60,2659)(61,2658)(62,2657)(63,2656)(64,2655)(65,2654)(66,2653)(67,2652)(68,2651)(69,2650)(70,2649)(71,2648)(72,2647)(73,2646)(74,2645)(75,2644)(76,2643)(77,2642)(78,2641)(79,2640)(80,2639)(81,2638)(82,2637)(83,2636)(84,2635)(85,2634)(86,2633)(87,2632)(88,2631)(89,2630)(90,2629)(91,2628)(92,2627)(93,2626)(94,2625)(95,2624)(96,2623)(97,2622)(98,2621)(99,2620)(100,2619)(101,2618)(102,2617)(103,2616)(104,2615)(105,2614)(106,2613)(107,2612)(108,2611)(109,2610)(110,2609)(111,2608)(112,2607)(113,2606)(114,2605)(115,2604)(116,2603)(117,2602)(118,2601)(119,2600)(120,2599)(121,2598)(122,2597)(123,2596)(124,2595)(125,2594)(126,2593)(127,2592)(128,2591)(129,2590)(130,2589)(131,2588)(132,2587)(133,2586)(134,2585)(135,2584)(136,2583)(137,2582)(138,2581)(139,2580)(140,2579)(141,2578)(142,2577)(143,2576)(144,2575)(145,2574)(146,2573)(147,2572)(148,2571)(149,2570)(150,2569)(151,2568)(152,2567)(153,2566)(154,2565)(155,2564)(156,2563)(157,2562)(158,2561)(159,2560)(160,2559)(161,2558)(162,2557)(163,2556)(164,2555)(165,2554)(166,2553)(167,2552)(168,2551)(169,2550)(170,2549)(171,2548)(172,2547)(173,2546)(174,2545)(175,2544)(176,2543)(177,2542)(178,2541)(179,2540)(180,2539)(181,2538)(182,2537)(183,2536)(184,2535)(185,2534)(186,2533)(187,2532)(188,2531)(189,2530)(190,2529)(191,2528)(192,2527)(193,2526)(194,2525)(195,2524)(196,2523)(197,2522)(198,2521)(199,2520)(200,2519)(201,2518)(202,2517)(203,2516)(204,2515)(205,2514)(206,2513)(207,2512)(208,2511)(209,2510)(210,2509)(211,2508)(212,2507)(213,2506)(214,2505)(215,2504)(216,2503)(217,2502)(218,2501)(219,2500)(220,2499)(221,2498)(222,2497)(223,2496)(224,2495)(225,2494)(226,2493)(227,2492)(228,2491)(229,2490)(230,2489)(231,2488)(232,2487)(233,2486)(234,2485)(235,2484)(236,2483)(237,2482)(238,2481)(239,2480)(240,2479)(241,2478)(242,2477)(243,2476)(244,2475)(245,2474)(246,2473)(247,2472)(248,2471)(249,2470)(250,2469)(251,2468)(252,2467)(253,2466)(254,2465)(255,2464)(256,2463)(257,2462)(258,2461)(259,2460)(260,2459)(261,2458)(262,2457)(263,2456)(264,2455)(265,2454)(266,2453)(267,2452)(268,2451)(269,2450)(270,2449)(271,2448)(272,2447)(273,2446)(274,2445)(275,2444)(276,2443)(277,2442)(278,2441)(279,2440)(280,2439)(281,2438)(282,2437)(283,2436)(284,2435)(285,2434)(286,2433)(287,2432)(288,2431)(289,2430)(290,2429)(291,2428)(292,2427)(293,2426)(294,2425)(295,2424)(296,2423)(297,2422)(298,2421)(299,2420)(300,2419)(301,2418)(302,2417)(303,2416)(304,2415)(305,2414)(306,2413)(307,2412)(308,2411)(309,2410)(310,2409)(311,2408)(312,2407)(313,2406)(314,2405)(315,2404)(316,2403)(317,2402)(318,2401)(319,2400)(320,2399)(321,2398)(322,2397)(323,2396)(324,2395)(325,2394)(326,2393)(327,2392)(328,2391)(329,2390)(330,2389)(331,2388)(332,2387)(333,2386)(334,2385)(335,2384)(336,2383)(337,2382)(338,2381)(339,2380)(340,2379)(341,2378)(342,2377)(343,2376)(344,2375)(345,2374)(346,2373)(347,2372)(348,2371)(349,2370)(350,2369)(351,2368)(352,2367)(353,2366)(354,2365)(355,2364)(356,2363)(357,2362)(358,2361)(359,2360)(360,2359)(361,2358)(362,2357)(363,2356)(364,2355)(365,2354)(366,2353)(367,2352)(368,2351)(369,2350)(370,2349)(371,2348)(372,2347)(373,2346)(374,2345)(375,2344)(376,2343)(377,2342)(378,2341)(379,2340)(380,2339)(381,2338)(382,2337)(383,2336)(384,2335)(385,2334)(386,2333)(387,2332)(388,2331)(389,2330)(390,2329)(391,2328)(392,2327)(393,2326)(394,2325)(395,2324)(396,2323)(397,2322)(398,2321)(399,2320)(400,2319)(401,2318)(402,2317)(403,2316)(404,2315)(405,2314)(406,2313)(407,2312)(408,2311)(409,2310)(410,2309)(411,2308)(412,2307)(413,2306)(414,2305)(415,2304)(416,2303)(417,2302)(418,2301)(419,2300)(420,2299)(421,2298)(422,2297)(423,2296)(424,2295)(425,2294)(426,2293)(427,2292)(428,2291)(429,2290)(430,2289)(431,2288)(432,2287)(433,2286)(434,2285)(435,2284)(436,2283)(437,2282)(438,2281)(439,2280)(440,2279)(441,2278)(442,2277)(443,2276)(444,2275)(445,2274)(446,2273)(447,2272)(448,2271)(449,2270)(450,2269)(451,2268)(452,2267)(453,2266)(454,2265)(455,2264)(456,2263)(457,2262)(458,2261)(459,2260)(460,2259)(461,2258)(462,2257)(463,2256)(464,2255)(465,2254)(466,2253)(467,2252)(468,2251)(469,2250)(470,2249)(471,2248)(472,2247)(473,2246)(474,2245)(475,2244)(476,2243)(477,2242)(478,2241)(479,2240)(480,2239)(481,2238)(482,2237)(483,2236)(484,2235)(485,2234)(486,2233)(487,2232)(488,2231)(489,2230)(490,2229)(491,2228)(492,2227)(493,2226)(494,2225)(495,2224)(496,2223)(497,2222)(498,2221)(499,2220)(500,2219)(501,2218)(502,2217)(503,2216)(504,2215)(505,2214)(506,2213)(507,2212)(508,2211)(509,2210)(510,2209)(511,2208)(512,2207)(513,2206)(514,2205)(515,2204)(516,2203)(517,2202)(518,2201)(519,2200)(520,2199)(521,2198)(522,2197)(523,2196)(524,2195)(525,2194)(526,2193)(527,2192)(528,2191)(529,2190)(530,2189)(531,2188)(532,2187)(533,2186)(534,2185)(535,2184)(536,2183)(537,2182)(538,2181)(539,2180)(540,2179)(541,2178)(542,2177)(543,2176)(544,2175)(545,2174)(546,2173)(547,2172)(548,2171)(549,2170)(550,2169)(551,2168)(552,2167)(553,2166)(554,2165)(555,2164)(556,2163)(557,2162)(558,2161)(559,2160)(560,2159)(561,2158)(562,2157)(563,2156)(564,2155)(565,2154)(566,2153)(567,2152)(568,2151)(569,2150)(570,2149)(571,2148)(572,2147)(573,2146)(574,2145)(575,2144)(576,2143)(577,2142)(578,2141)(579,2140)(580,2139)(581,2138)(582,2137)(583,2136)(584,2135)(585,2134)(586,2133)(587,2132)(588,2131)(589,2130)(590,2129)(591,2128)(592,2127)(593,2126)(594,2125)(595,2124)(596,2123)(597,2122)(598,2121)(599,2120)(600,2119)(601,2118)(602,2117)(603,2116)(604,2115)(605,2114)(606,2113)(607,2112)(608,2111)(609,2110)(610,2109)(611,2108)(612,2107)(613,2106)(614,2105)(615,2104)(616,2103)(617,2102)(618,2101)(619,2100)(620,2099)(621,2098)(622,2097)(623,2096)(624,2095)(625,2094)(626,2093)(627,2092)(628,2091)(629,2090)(630,2089)(631,2088)(632,2087)(633,2086)(634,2085)(635,2084)(636,2083)(637,2082)(638,2081)(639,2080)(640,2079)(641,2078)(642,2077)(643,2076)(644,2075)(645,2074)(646,2073)(647,2072)(648,2071)(649,2070)(650,2069)(651,2068)(652,2067)(653,2066)(654,2065)(655,2064)(656,2063)(657,2062)(658,2061)(659,2060)(660,2059)(661,2058)(662,2057)(663,2056)(664,2055)(665,2054)(666,2053)(667,2052)(668,2051)(669,2050)(670,2049)(671,2048)(672,2047)(673,2046)(674,2045)(675,2044)(676,2043)(677,2042)(678,2041)(679,2040)(680,2039)(681,2038)(682,2037)(683,2036)(684,2035)(685,2034)(686,2033)(687,2032)(688,2031)(689,2030)(690,2029)(691,2028)(692,2027)(693,2026)(694,2025)(695,2024)(696,2023)(697,2022)(698,2021)(699,2020)(700,2019)(701,2018)(702,2017)(703,2016)(704,2015)(705,2014)(706,2013)(707,2012)(708,2011)(709,2010)(710,2009)(711,2008)(712,2007)(713,2006)(714,2005)(715,2004)(716,2003)(717,2002)(718,2001)(719,2000)(720,1999)(721,1998)(722,1997)(723,1996)(724,1995)(725,1994)(726,1993)(727,1992)(728,1991)(729,1990)(730,1989)(731,1988)(732,1987)(733,1986)(734,1985)(735,1984)(736,1983)(737,1982)(738,1981)(739,1980)(740,1979)(741,1978)(742,1977)(743,1976)(744,1975)(745,1974)(746,1973)(747,1972)(748,1971)(749,1970)(750,1969)(751,1968)(752,1967)(753,1966)(754,1965)(755,1964)(756,1963)(757,1962)(758,1961)(759,1960)(760,1959)(761,1958)(762,1957)(763,1956)(764,1955)(765,1954)(766,1953)(767,1952)(768,1951)(769,1950)(770,1949)(771,1948)(772,1947)(773,1946)(774,1945)(775,1944)(776,1943)(777,1942)(778,1941)(779,1940)(780,1939)(781,1938)(782,1937)(783,1936)(784,1935)(785,1934)(786,1933)(787,1932)(788,1931)(789,1930)(790,1929)(791,1928)(792,1927)(793,1926)(794,1925)(795,1924)(796,1923)(797,1922)(798,1921)(799,1920)(800,1919)(801,1918)(802,1917)(803,1916)(804,1915)(805,1914)(806,1913)(807,1912)(808,1911)(809,1910)(810,1909)(811,1908)(812,1907)(813,1906)(814,1905)(815,1904)(816,1903)(817,1902)(818,1901)(819,1900)(820,1899)(821,1898)(822,1897)(823,1896)(824,1895)(825,1894)(826,1893)(827,1892)(828,1891)(829,1890)(830,1889)(831,1888)(832,1887)(833,1886)(834,1885)(835,1884)(836,1883)(837,1882)(838,1881)(839,1880)(840,1879)(841,1878)(842,1877)(843,1876)(844,1875)(845,1874)(846,1873)(847,1872)(848,1871)(849,1870)(850,1869)(851,1868)(852,1867)(853,1866)(854,1865)(855,1864)(856,1863)(857,1862)(858,1861)(859,1860)(860,1859)(861,1858)(862,1857)(863,1856)(864,1855)(865,1854)(866,1853)(867,1852)(868,1851)(869,1850)(870,1849)(871,1848)(872,1847)(873,1846)(874,1845)(875,1844)(876,1843)(877,1842)(878,1841)(879,1840)(880,1839)(881,1838)(882,1837)(883,1836)(884,1835)(885,1834)(886,1833)(887,1832)(888,1831)(889,1830)(890,1829)(891,1828)(892,1827)(893,1826)(894,1825)(895,1824)(896,1823)(897,1822)(898,1821)(899,1820)(900,1819)(901,1818)(902,1817)(903,1816)(904,1815)(905,1814)(906,1813)(907,1812)(908,1811)(909,1810)(910,1809)(911,1808)(912,1807)(913,1806)(914,1805)(915,1804)(916,1803)(917,1802)(918,1801)(919,1800)(920,1799)(921,1798)(922,1797)(923,1796)(924,1795)(925,1794)(926,1793)(927,1792)(928,1791)(929,1790)(930,1789)(931,1788)(932,1787)(933,1786)(934,1785)(935,1784)(936,1783)(937,1782)(938,1781)(939,1780)(940,1779)(941,1778)(942,1777)(943,1776)(944,1775)(945,1774)(946,1773)(947,1772)(948,1771)(949,1770)(950,1769)(951,1768)(952,1767)(953,1766)(954,1765)(955,1764)(956,1763)(957,1762)(958,1761)(959,1760)(960,1759)(961,1758)(962,1757)(963,1756)(964,1755)(965,1754)(966,1753)(967,1752)(968,1751)(969,1750)(970,1749)(971,1748)(972,1747)(973,1746)(974,1745)(975,1744)(976,1743)(977,1742)(978,1741)(979,1740)(980,1739)(981,1738)(982,1737)(983,1736)(984,1735)(985,1734)(986,1733)(987,1732)(988,1731)(989,1730)(990,1729)(991,1728)(992,1727)(993,1726)(994,1725)(995,1724)(996,1723)(997,1722)(998,1721)(999,1720)(1000,1719)(1001,1718)(1002,1717)(1003,1716)(1004,1715)(1005,1714)(1006,1713)(1007,1712)(1008,1711)(1009,1710)(1010,1709)(1011,1708)(1012,1707)(1013,1706)(1014,1705)(1015,1704)(1016,1703)(1017,1702)(1018,1701)(1019,1700)(1020,1699)(1021,1698)(1022,1697)(1023,1696)(1024,1695)(1025,1694)(1026,1693)(1027,1692)(1028,1691)(1029,1690)(1030,1689)(1031,1688)(1032,1687)(1033,1686)(1034,1685)(1035,1684)(1036,1683)(1037,1682)(1038,1681)(1039,1680)(1040,1679)(1041,1678)(1042,1677)(1043,1676)(1044,1675)(1045,1674)(1046,1673)(1047,1672)(1048,1671)(1049,1670)(1050,1669)(1051,1668)(1052,1667)(1053,1666)(1054,1665)(1055,1664)(1056,1663)(1057,1662)(1058,1661)(1059,1660)(1060,1659)(1061,1658)(1062,1657)(1063,1656)(1064,1655)(1065,1654)(1066,1653)(1067,1652)(1068,1651)(1069,1650)(1070,1649)(1071,1648)(1072,1647)(1073,1646)(1074,1645)(1075,1644)(1076,1643)(1077,1642)(1078,1641)(1079,1640)(1080,1639)(1081,1638)(1082,1637)(1083,1636)(1084,1635)(1085,1634)(1086,1633)(1087,1632)(1088,1631)(1089,1630)(1090,1629)(1091,1628)(1092,1627)(1093,1626)(1094,1625)(1095,1624)(1096,1623)(1097,1622)(1098,1621)(1099,1620)(1100,1619)(1101,1618)(1102,1617)(1103,1616)(1104,1615)(1105,1614)(1106,1613)(1107,1612)(1108,1611)(1109,1610)(1110,1609)(1111,1608)(1112,1607)(1113,1606)(1114,1605)(1115,1604)(1116,1603)(1117,1602)(1118,1601)(1119,1600)(1120,1599)(1121,1598)(1122,1597)(1123,1596)(1124,1595)(1125,1594)(1126,1593)(1127,1592)(1128,1591)(1129,1590)(1130,1589)(1131,1588)(1132,1587)(1133,1586)(1134,1585)(1135,1584)(1136,1583)(1137,1582)(1138,1581)(1139,1580)(1140,1579)(1141,1578)(1142,1577)(1143,1576)(1144,1575)(1145,1574)(1146,1573)(1147,1572)(1148,1571)(1149,1570)(1150,1569)(1151,1568)(1152,1567)(1153,1566)(1154,1565)(1155,1564)(1156,1563)(1157,1562)(1158,1561)(1159,1560)(1160,1559)(1161,1558)(1162,1557)(1163,1556)(1164,1555)(1165,1554)(1166,1553)(1167,1552)(1168,1551)(1169,1550)(1170,1549)(1171,1548)(1172,1547)(1173,1546)(1174,1545)(1175,1544)(1176,1543)(1177,1542)(1178,1541)(1179,1540)(1180,1539)(1181,1538)(1182,1537)(1183,1536)(1184,1535)(1185,1534)(1186,1533)(1187,1532)(1188,1531)(1189,1530)(1190,1529)(1191,1528)(1192,1527)(1193,1526)(1194,1525)(1195,1524)(1196,1523)(1197,1522)(1198,1521)(1199,1520)(1200,1519)(1201,1518)(1202,1517)(1203,1516)(1204,1515)(1205,1514)(1206,1513)(1207,1512)(1208,1511)(1209,1510)(1210,1509)(1211,1508)(1212,1507)(1213,1506)(1214,1505)(1215,1504)(1216,1503)(1217,1502)(1218,1501)(1219,1500)(1220,1499)(1221,1498)(1222,1497)(1223,1496)(1224,1495)(1225,1494)(1226,1493)(1227,1492)(1228,1491)(1229,1490)(1230,1489)(1231,1488)(1232,1487)(1233,1486)(1234,1485)(1235,1484)(1236,1483)(1237,1482)(1238,1481)(1239,1480)(1240,1479)(1241,1478)(1242,1477)(1243,1476)(1244,1475)(1245,1474)(1246,1473)(1247,1472)(1248,1471)(1249,1470)(1250,1469)(1251,1468)(1252,1467)(1253,1466)(1254,1465)(1255,1464)(1256,1463)(1257,1462)(1258,1461)(1259,1460)(1260,1459)(1261,1458)(1262,1457)(1263,1456)(1264,1455)(1265,1454)(1266,1453)(1267,1452)(1268,1451)(1269,1450)(1270,1449)(1271,1448)(1272,1447)(1273,1446)(1274,1445)(1275,1444)(1276,1443)(1277,1442)(1278,1441)(1279,1440)(1280,1439)(1281,1438)(1282,1437)(1283,1436)(1284,1435)(1285,1434)(1286,1433)(1287,1432)(1288,1431)(1289,1430)(1290,1429)(1291,1428)(1292,1427)(1293,1426)(1294,1425)(1295,1424)(1296,1423)(1297,1422)(1298,1421)(1299,1420)(1300,1419)(1301,1418)(1302,1417)(1303,1416)(1304,1415)(1305,1414)(1306,1413)(1307,1412)(1308,1411)(1309,1410)(1310,1409)(1311,1408)(1312,1407)(1313,1406)(1314,1405)(1315,1404)(1316,1403)(1317,1402)(1318,1401)(1319,1400)(1320,1399)(1321,1398)(1322,1397)(1323,1396)(1324,1395)(1325,1394)(1326,1393)(1327,1392)(1328,1391)(1329,1390)(1330,1389)(1331,1388)(1332,1387)(1333,1386)(1334,1385)(1335,1384)(1336,1383)(1337,1382)(1338,1381)(1339,1380)(1340,1379)(1341,1378)(1342,1377)(1343,1376)(1344,1375)(1345,1374)(1346,1373)(1347,1372)(1348,1371)(1349,1370)(1350,1369)(1351,1368)(1352,1367)(1353,1366)(1354,1365)(1355,1364)(1356,1363)(1357,1362)(1358,1361)(1359,1360)
Conjugacy classes & character table
2716 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10852, 4);
Finite Group Databasebeta