← Prev (#44542421) Next (#44542423) →
Aliases
Splittings
Subgroups
20 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 2664 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);(4,5)(7,2664)(8,2663)(9,2662)(10,2661)(11,2660)(12,2659)(13,2658)(14,2657)(15,2656)(16,2655)(17,2654)(18,2653)(19,2652)(20,2651)(21,2650)(22,2649)(23,2648)(24,2647)(25,2646)(26,2645)(27,2644)(28,2643)(29,2642)(30,2641)(31,2640)(32,2639)(33,2638)(34,2637)(35,2636)(36,2635)(37,2634)(38,2633)(39,2632)(40,2631)(41,2630)(42,2629)(43,2628)(44,2627)(45,2626)(46,2625)(47,2624)(48,2623)(49,2622)(50,2621)(51,2620)(52,2619)(53,2618)(54,2617)(55,2616)(56,2615)(57,2614)(58,2613)(59,2612)(60,2611)(61,2610)(62,2609)(63,2608)(64,2607)(65,2606)(66,2605)(67,2604)(68,2603)(69,2602)(70,2601)(71,2600)(72,2599)(73,2598)(74,2597)(75,2596)(76,2595)(77,2594)(78,2593)(79,2592)(80,2591)(81,2590)(82,2589)(83,2588)(84,2587)(85,2586)(86,2585)(87,2584)(88,2583)(89,2582)(90,2581)(91,2580)(92,2579)(93,2578)(94,2577)(95,2576)(96,2575)(97,2574)(98,2573)(99,2572)(100,2571)(101,2570)(102,2569)(103,2568)(104,2567)(105,2566)(106,2565)(107,2564)(108,2563)(109,2562)(110,2561)(111,2560)(112,2559)(113,2558)(114,2557)(115,2556)(116,2555)(117,2554)(118,2553)(119,2552)(120,2551)(121,2550)(122,2549)(123,2548)(124,2547)(125,2546)(126,2545)(127,2544)(128,2543)(129,2542)(130,2541)(131,2540)(132,2539)(133,2538)(134,2537)(135,2536)(136,2535)(137,2534)(138,2533)(139,2532)(140,2531)(141,2530)(142,2529)(143,2528)(144,2527)(145,2526)(146,2525)(147,2524)(148,2523)(149,2522)(150,2521)(151,2520)(152,2519)(153,2518)(154,2517)(155,2516)(156,2515)(157,2514)(158,2513)(159,2512)(160,2511)(161,2510)(162,2509)(163,2508)(164,2507)(165,2506)(166,2505)(167,2504)(168,2503)(169,2502)(170,2501)(171,2500)(172,2499)(173,2498)(174,2497)(175,2496)(176,2495)(177,2494)(178,2493)(179,2492)(180,2491)(181,2490)(182,2489)(183,2488)(184,2487)(185,2486)(186,2485)(187,2484)(188,2483)(189,2482)(190,2481)(191,2480)(192,2479)(193,2478)(194,2477)(195,2476)(196,2475)(197,2474)(198,2473)(199,2472)(200,2471)(201,2470)(202,2469)(203,2468)(204,2467)(205,2466)(206,2465)(207,2464)(208,2463)(209,2462)(210,2461)(211,2460)(212,2459)(213,2458)(214,2457)(215,2456)(216,2455)(217,2454)(218,2453)(219,2452)(220,2451)(221,2450)(222,2449)(223,2448)(224,2447)(225,2446)(226,2445)(227,2444)(228,2443)(229,2442)(230,2441)(231,2440)(232,2439)(233,2438)(234,2437)(235,2436)(236,2435)(237,2434)(238,2433)(239,2432)(240,2431)(241,2430)(242,2429)(243,2428)(244,2427)(245,2426)(246,2425)(247,2424)(248,2423)(249,2422)(250,2421)(251,2420)(252,2419)(253,2418)(254,2417)(255,2416)(256,2415)(257,2414)(258,2413)(259,2412)(260,2411)(261,2410)(262,2409)(263,2408)(264,2407)(265,2406)(266,2405)(267,2404)(268,2403)(269,2402)(270,2401)(271,2400)(272,2399)(273,2398)(274,2397)(275,2396)(276,2395)(277,2394)(278,2393)(279,2392)(280,2391)(281,2390)(282,2389)(283,2388)(284,2387)(285,2386)(286,2385)(287,2384)(288,2383)(289,2382)(290,2381)(291,2380)(292,2379)(293,2378)(294,2377)(295,2376)(296,2375)(297,2374)(298,2373)(299,2372)(300,2371)(301,2370)(302,2369)(303,2368)(304,2367)(305,2366)(306,2365)(307,2364)(308,2363)(309,2362)(310,2361)(311,2360)(312,2359)(313,2358)(314,2357)(315,2356)(316,2355)(317,2354)(318,2353)(319,2352)(320,2351)(321,2350)(322,2349)(323,2348)(324,2347)(325,2346)(326,2345)(327,2344)(328,2343)(329,2342)(330,2341)(331,2340)(332,2339)(333,2338)(334,2337)(335,2336)(336,2335)(337,2334)(338,2333)(339,2332)(340,2331)(341,2330)(342,2329)(343,2328)(344,2327)(345,2326)(346,2325)(347,2324)(348,2323)(349,2322)(350,2321)(351,2320)(352,2319)(353,2318)(354,2317)(355,2316)(356,2315)(357,2314)(358,2313)(359,2312)(360,2311)(361,2310)(362,2309)(363,2308)(364,2307)(365,2306)(366,2305)(367,2304)(368,2303)(369,2302)(370,2301)(371,2300)(372,2299)(373,2298)(374,2297)(375,2296)(376,2295)(377,2294)(378,2293)(379,2292)(380,2291)(381,2290)(382,2289)(383,2288)(384,2287)(385,2286)(386,2285)(387,2284)(388,2283)(389,2282)(390,2281)(391,2280)(392,2279)(393,2278)(394,2277)(395,2276)(396,2275)(397,2274)(398,2273)(399,2272)(400,2271)(401,2270)(402,2269)(403,2268)(404,2267)(405,2266)(406,2265)(407,2264)(408,2263)(409,2262)(410,2261)(411,2260)(412,2259)(413,2258)(414,2257)(415,2256)(416,2255)(417,2254)(418,2253)(419,2252)(420,2251)(421,2250)(422,2249)(423,2248)(424,2247)(425,2246)(426,2245)(427,2244)(428,2243)(429,2242)(430,2241)(431,2240)(432,2239)(433,2238)(434,2237)(435,2236)(436,2235)(437,2234)(438,2233)(439,2232)(440,2231)(441,2230)(442,2229)(443,2228)(444,2227)(445,2226)(446,2225)(447,2224)(448,2223)(449,2222)(450,2221)(451,2220)(452,2219)(453,2218)(454,2217)(455,2216)(456,2215)(457,2214)(458,2213)(459,2212)(460,2211)(461,2210)(462,2209)(463,2208)(464,2207)(465,2206)(466,2205)(467,2204)(468,2203)(469,2202)(470,2201)(471,2200)(472,2199)(473,2198)(474,2197)(475,2196)(476,2195)(477,2194)(478,2193)(479,2192)(480,2191)(481,2190)(482,2189)(483,2188)(484,2187)(485,2186)(486,2185)(487,2184)(488,2183)(489,2182)(490,2181)(491,2180)(492,2179)(493,2178)(494,2177)(495,2176)(496,2175)(497,2174)(498,2173)(499,2172)(500,2171)(501,2170)(502,2169)(503,2168)(504,2167)(505,2166)(506,2165)(507,2164)(508,2163)(509,2162)(510,2161)(511,2160)(512,2159)(513,2158)(514,2157)(515,2156)(516,2155)(517,2154)(518,2153)(519,2152)(520,2151)(521,2150)(522,2149)(523,2148)(524,2147)(525,2146)(526,2145)(527,2144)(528,2143)(529,2142)(530,2141)(531,2140)(532,2139)(533,2138)(534,2137)(535,2136)(536,2135)(537,2134)(538,2133)(539,2132)(540,2131)(541,2130)(542,2129)(543,2128)(544,2127)(545,2126)(546,2125)(547,2124)(548,2123)(549,2122)(550,2121)(551,2120)(552,2119)(553,2118)(554,2117)(555,2116)(556,2115)(557,2114)(558,2113)(559,2112)(560,2111)(561,2110)(562,2109)(563,2108)(564,2107)(565,2106)(566,2105)(567,2104)(568,2103)(569,2102)(570,2101)(571,2100)(572,2099)(573,2098)(574,2097)(575,2096)(576,2095)(577,2094)(578,2093)(579,2092)(580,2091)(581,2090)(582,2089)(583,2088)(584,2087)(585,2086)(586,2085)(587,2084)(588,2083)(589,2082)(590,2081)(591,2080)(592,2079)(593,2078)(594,2077)(595,2076)(596,2075)(597,2074)(598,2073)(599,2072)(600,2071)(601,2070)(602,2069)(603,2068)(604,2067)(605,2066)(606,2065)(607,2064)(608,2063)(609,2062)(610,2061)(611,2060)(612,2059)(613,2058)(614,2057)(615,2056)(616,2055)(617,2054)(618,2053)(619,2052)(620,2051)(621,2050)(622,2049)(623,2048)(624,2047)(625,2046)(626,2045)(627,2044)(628,2043)(629,2042)(630,2041)(631,2040)(632,2039)(633,2038)(634,2037)(635,2036)(636,2035)(637,2034)(638,2033)(639,2032)(640,2031)(641,2030)(642,2029)(643,2028)(644,2027)(645,2026)(646,2025)(647,2024)(648,2023)(649,2022)(650,2021)(651,2020)(652,2019)(653,2018)(654,2017)(655,2016)(656,2015)(657,2014)(658,2013)(659,2012)(660,2011)(661,2010)(662,2009)(663,2008)(664,2007)(665,2006)(666,2005)(667,2004)(668,2003)(669,2002)(670,2001)(671,2000)(672,1999)(673,1998)(674,1997)(675,1996)(676,1995)(677,1994)(678,1993)(679,1992)(680,1991)(681,1990)(682,1989)(683,1988)(684,1987)(685,1986)(686,1985)(687,1984)(688,1983)(689,1982)(690,1981)(691,1980)(692,1979)(693,1978)(694,1977)(695,1976)(696,1975)(697,1974)(698,1973)(699,1972)(700,1971)(701,1970)(702,1969)(703,1968)(704,1967)(705,1966)(706,1965)(707,1964)(708,1963)(709,1962)(710,1961)(711,1960)(712,1959)(713,1958)(714,1957)(715,1956)(716,1955)(717,1954)(718,1953)(719,1952)(720,1951)(721,1950)(722,1949)(723,1948)(724,1947)(725,1946)(726,1945)(727,1944)(728,1943)(729,1942)(730,1941)(731,1940)(732,1939)(733,1938)(734,1937)(735,1936)(736,1935)(737,1934)(738,1933)(739,1932)(740,1931)(741,1930)(742,1929)(743,1928)(744,1927)(745,1926)(746,1925)(747,1924)(748,1923)(749,1922)(750,1921)(751,1920)(752,1919)(753,1918)(754,1917)(755,1916)(756,1915)(757,1914)(758,1913)(759,1912)(760,1911)(761,1910)(762,1909)(763,1908)(764,1907)(765,1906)(766,1905)(767,1904)(768,1903)(769,1902)(770,1901)(771,1900)(772,1899)(773,1898)(774,1897)(775,1896)(776,1895)(777,1894)(778,1893)(779,1892)(780,1891)(781,1890)(782,1889)(783,1888)(784,1887)(785,1886)(786,1885)(787,1884)(788,1883)(789,1882)(790,1881)(791,1880)(792,1879)(793,1878)(794,1877)(795,1876)(796,1875)(797,1874)(798,1873)(799,1872)(800,1871)(801,1870)(802,1869)(803,1868)(804,1867)(805,1866)(806,1865)(807,1864)(808,1863)(809,1862)(810,1861)(811,1860)(812,1859)(813,1858)(814,1857)(815,1856)(816,1855)(817,1854)(818,1853)(819,1852)(820,1851)(821,1850)(822,1849)(823,1848)(824,1847)(825,1846)(826,1845)(827,1844)(828,1843)(829,1842)(830,1841)(831,1840)(832,1839)(833,1838)(834,1837)(835,1836)(836,1835)(837,1834)(838,1833)(839,1832)(840,1831)(841,1830)(842,1829)(843,1828)(844,1827)(845,1826)(846,1825)(847,1824)(848,1823)(849,1822)(850,1821)(851,1820)(852,1819)(853,1818)(854,1817)(855,1816)(856,1815)(857,1814)(858,1813)(859,1812)(860,1811)(861,1810)(862,1809)(863,1808)(864,1807)(865,1806)(866,1805)(867,1804)(868,1803)(869,1802)(870,1801)(871,1800)(872,1799)(873,1798)(874,1797)(875,1796)(876,1795)(877,1794)(878,1793)(879,1792)(880,1791)(881,1790)(882,1789)(883,1788)(884,1787)(885,1786)(886,1785)(887,1784)(888,1783)(889,1782)(890,1781)(891,1780)(892,1779)(893,1778)(894,1777)(895,1776)(896,1775)(897,1774)(898,1773)(899,1772)(900,1771)(901,1770)(902,1769)(903,1768)(904,1767)(905,1766)(906,1765)(907,1764)(908,1763)(909,1762)(910,1761)(911,1760)(912,1759)(913,1758)(914,1757)(915,1756)(916,1755)(917,1754)(918,1753)(919,1752)(920,1751)(921,1750)(922,1749)(923,1748)(924,1747)(925,1746)(926,1745)(927,1744)(928,1743)(929,1742)(930,1741)(931,1740)(932,1739)(933,1738)(934,1737)(935,1736)(936,1735)(937,1734)(938,1733)(939,1732)(940,1731)(941,1730)(942,1729)(943,1728)(944,1727)(945,1726)(946,1725)(947,1724)(948,1723)(949,1722)(950,1721)(951,1720)(952,1719)(953,1718)(954,1717)(955,1716)(956,1715)(957,1714)(958,1713)(959,1712)(960,1711)(961,1710)(962,1709)(963,1708)(964,1707)(965,1706)(966,1705)(967,1704)(968,1703)(969,1702)(970,1701)(971,1700)(972,1699)(973,1698)(974,1697)(975,1696)(976,1695)(977,1694)(978,1693)(979,1692)(980,1691)(981,1690)(982,1689)(983,1688)(984,1687)(985,1686)(986,1685)(987,1684)(988,1683)(989,1682)(990,1681)(991,1680)(992,1679)(993,1678)(994,1677)(995,1676)(996,1675)(997,1674)(998,1673)(999,1672)(1000,1671)(1001,1670)(1002,1669)(1003,1668)(1004,1667)(1005,1666)(1006,1665)(1007,1664)(1008,1663)(1009,1662)(1010,1661)(1011,1660)(1012,1659)(1013,1658)(1014,1657)(1015,1656)(1016,1655)(1017,1654)(1018,1653)(1019,1652)(1020,1651)(1021,1650)(1022,1649)(1023,1648)(1024,1647)(1025,1646)(1026,1645)(1027,1644)(1028,1643)(1029,1642)(1030,1641)(1031,1640)(1032,1639)(1033,1638)(1034,1637)(1035,1636)(1036,1635)(1037,1634)(1038,1633)(1039,1632)(1040,1631)(1041,1630)(1042,1629)(1043,1628)(1044,1627)(1045,1626)(1046,1625)(1047,1624)(1048,1623)(1049,1622)(1050,1621)(1051,1620)(1052,1619)(1053,1618)(1054,1617)(1055,1616)(1056,1615)(1057,1614)(1058,1613)(1059,1612)(1060,1611)(1061,1610)(1062,1609)(1063,1608)(1064,1607)(1065,1606)(1066,1605)(1067,1604)(1068,1603)(1069,1602)(1070,1601)(1071,1600)(1072,1599)(1073,1598)(1074,1597)(1075,1596)(1076,1595)(1077,1594)(1078,1593)(1079,1592)(1080,1591)(1081,1590)(1082,1589)(1083,1588)(1084,1587)(1085,1586)(1086,1585)(1087,1584)(1088,1583)(1089,1582)(1090,1581)(1091,1580)(1092,1579)(1093,1578)(1094,1577)(1095,1576)(1096,1575)(1097,1574)(1098,1573)(1099,1572)(1100,1571)(1101,1570)(1102,1569)(1103,1568)(1104,1567)(1105,1566)(1106,1565)(1107,1564)(1108,1563)(1109,1562)(1110,1561)(1111,1560)(1112,1559)(1113,1558)(1114,1557)(1115,1556)(1116,1555)(1117,1554)(1118,1553)(1119,1552)(1120,1551)(1121,1550)(1122,1549)(1123,1548)(1124,1547)(1125,1546)(1126,1545)(1127,1544)(1128,1543)(1129,1542)(1130,1541)(1131,1540)(1132,1539)(1133,1538)(1134,1537)(1135,1536)(1136,1535)(1137,1534)(1138,1533)(1139,1532)(1140,1531)(1141,1530)(1142,1529)(1143,1528)(1144,1527)(1145,1526)(1146,1525)(1147,1524)(1148,1523)(1149,1522)(1150,1521)(1151,1520)(1152,1519)(1153,1518)(1154,1517)(1155,1516)(1156,1515)(1157,1514)(1158,1513)(1159,1512)(1160,1511)(1161,1510)(1162,1509)(1163,1508)(1164,1507)(1165,1506)(1166,1505)(1167,1504)(1168,1503)(1169,1502)(1170,1501)(1171,1500)(1172,1499)(1173,1498)(1174,1497)(1175,1496)(1176,1495)(1177,1494)(1178,1493)(1179,1492)(1180,1491)(1181,1490)(1182,1489)(1183,1488)(1184,1487)(1185,1486)(1186,1485)(1187,1484)(1188,1483)(1189,1482)(1190,1481)(1191,1480)(1192,1479)(1193,1478)(1194,1477)(1195,1476)(1196,1475)(1197,1474)(1198,1473)(1199,1472)(1200,1471)(1201,1470)(1202,1469)(1203,1468)(1204,1467)(1205,1466)(1206,1465)(1207,1464)(1208,1463)(1209,1462)(1210,1461)(1211,1460)(1212,1459)(1213,1458)(1214,1457)(1215,1456)(1216,1455)(1217,1454)(1218,1453)(1219,1452)(1220,1451)(1221,1450)(1222,1449)(1223,1448)(1224,1447)(1225,1446)(1226,1445)(1227,1444)(1228,1443)(1229,1442)(1230,1441)(1231,1440)(1232,1439)(1233,1438)(1234,1437)(1235,1436)(1236,1435)(1237,1434)(1238,1433)(1239,1432)(1240,1431)(1241,1430)(1242,1429)(1243,1428)(1244,1427)(1245,1426)(1246,1425)(1247,1424)(1248,1423)(1249,1422)(1250,1421)(1251,1420)(1252,1419)(1253,1418)(1254,1417)(1255,1416)(1256,1415)(1257,1414)(1258,1413)(1259,1412)(1260,1411)(1261,1410)(1262,1409)(1263,1408)(1264,1407)(1265,1406)(1266,1405)(1267,1404)(1268,1403)(1269,1402)(1270,1401)(1271,1400)(1272,1399)(1273,1398)(1274,1397)(1275,1396)(1276,1395)(1277,1394)(1278,1393)(1279,1392)(1280,1391)(1281,1390)(1282,1389)(1283,1388)(1284,1387)(1285,1386)(1286,1385)(1287,1384)(1288,1383)(1289,1382)(1290,1381)(1291,1380)(1292,1379)(1293,1378)(1294,1377)(1295,1376)(1296,1375)(1297,1374)(1298,1373)(1299,1372)(1300,1371)(1301,1370)(1302,1369)(1303,1368)(1304,1367)(1305,1366)(1306,1365)(1307,1364)(1308,1363)(1309,1362)(1310,1361)(1311,1360)(1312,1359)(1313,1358)(1314,1357)(1315,1356)(1316,1355)(1317,1354)(1318,1353)(1319,1352)(1320,1351)(1321,1350)(1322,1349)(1323,1348)(1324,1347)(1325,1346)(1326,1345)(1327,1344)(1328,1343)(1329,1342)(1330,1341)(1331,1340)(1332,1339)(1333,1338)(1334,1337)(1335,1336)
Conjugacy classes & character table
7980 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31908, 15);
Finite Group Databasebeta