← Prev (#44479642) Next (#44479644) →
Aliases
Splittings
Subgroups
20 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 2548 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);(4,5)(7,2548)(8,2547)(9,2546)(10,2545)(11,2544)(12,2543)(13,2542)(14,2541)(15,2540)(16,2539)(17,2538)(18,2537)(19,2536)(20,2535)(21,2534)(22,2533)(23,2532)(24,2531)(25,2530)(26,2529)(27,2528)(28,2527)(29,2526)(30,2525)(31,2524)(32,2523)(33,2522)(34,2521)(35,2520)(36,2519)(37,2518)(38,2517)(39,2516)(40,2515)(41,2514)(42,2513)(43,2512)(44,2511)(45,2510)(46,2509)(47,2508)(48,2507)(49,2506)(50,2505)(51,2504)(52,2503)(53,2502)(54,2501)(55,2500)(56,2499)(57,2498)(58,2497)(59,2496)(60,2495)(61,2494)(62,2493)(63,2492)(64,2491)(65,2490)(66,2489)(67,2488)(68,2487)(69,2486)(70,2485)(71,2484)(72,2483)(73,2482)(74,2481)(75,2480)(76,2479)(77,2478)(78,2477)(79,2476)(80,2475)(81,2474)(82,2473)(83,2472)(84,2471)(85,2470)(86,2469)(87,2468)(88,2467)(89,2466)(90,2465)(91,2464)(92,2463)(93,2462)(94,2461)(95,2460)(96,2459)(97,2458)(98,2457)(99,2456)(100,2455)(101,2454)(102,2453)(103,2452)(104,2451)(105,2450)(106,2449)(107,2448)(108,2447)(109,2446)(110,2445)(111,2444)(112,2443)(113,2442)(114,2441)(115,2440)(116,2439)(117,2438)(118,2437)(119,2436)(120,2435)(121,2434)(122,2433)(123,2432)(124,2431)(125,2430)(126,2429)(127,2428)(128,2427)(129,2426)(130,2425)(131,2424)(132,2423)(133,2422)(134,2421)(135,2420)(136,2419)(137,2418)(138,2417)(139,2416)(140,2415)(141,2414)(142,2413)(143,2412)(144,2411)(145,2410)(146,2409)(147,2408)(148,2407)(149,2406)(150,2405)(151,2404)(152,2403)(153,2402)(154,2401)(155,2400)(156,2399)(157,2398)(158,2397)(159,2396)(160,2395)(161,2394)(162,2393)(163,2392)(164,2391)(165,2390)(166,2389)(167,2388)(168,2387)(169,2386)(170,2385)(171,2384)(172,2383)(173,2382)(174,2381)(175,2380)(176,2379)(177,2378)(178,2377)(179,2376)(180,2375)(181,2374)(182,2373)(183,2372)(184,2371)(185,2370)(186,2369)(187,2368)(188,2367)(189,2366)(190,2365)(191,2364)(192,2363)(193,2362)(194,2361)(195,2360)(196,2359)(197,2358)(198,2357)(199,2356)(200,2355)(201,2354)(202,2353)(203,2352)(204,2351)(205,2350)(206,2349)(207,2348)(208,2347)(209,2346)(210,2345)(211,2344)(212,2343)(213,2342)(214,2341)(215,2340)(216,2339)(217,2338)(218,2337)(219,2336)(220,2335)(221,2334)(222,2333)(223,2332)(224,2331)(225,2330)(226,2329)(227,2328)(228,2327)(229,2326)(230,2325)(231,2324)(232,2323)(233,2322)(234,2321)(235,2320)(236,2319)(237,2318)(238,2317)(239,2316)(240,2315)(241,2314)(242,2313)(243,2312)(244,2311)(245,2310)(246,2309)(247,2308)(248,2307)(249,2306)(250,2305)(251,2304)(252,2303)(253,2302)(254,2301)(255,2300)(256,2299)(257,2298)(258,2297)(259,2296)(260,2295)(261,2294)(262,2293)(263,2292)(264,2291)(265,2290)(266,2289)(267,2288)(268,2287)(269,2286)(270,2285)(271,2284)(272,2283)(273,2282)(274,2281)(275,2280)(276,2279)(277,2278)(278,2277)(279,2276)(280,2275)(281,2274)(282,2273)(283,2272)(284,2271)(285,2270)(286,2269)(287,2268)(288,2267)(289,2266)(290,2265)(291,2264)(292,2263)(293,2262)(294,2261)(295,2260)(296,2259)(297,2258)(298,2257)(299,2256)(300,2255)(301,2254)(302,2253)(303,2252)(304,2251)(305,2250)(306,2249)(307,2248)(308,2247)(309,2246)(310,2245)(311,2244)(312,2243)(313,2242)(314,2241)(315,2240)(316,2239)(317,2238)(318,2237)(319,2236)(320,2235)(321,2234)(322,2233)(323,2232)(324,2231)(325,2230)(326,2229)(327,2228)(328,2227)(329,2226)(330,2225)(331,2224)(332,2223)(333,2222)(334,2221)(335,2220)(336,2219)(337,2218)(338,2217)(339,2216)(340,2215)(341,2214)(342,2213)(343,2212)(344,2211)(345,2210)(346,2209)(347,2208)(348,2207)(349,2206)(350,2205)(351,2204)(352,2203)(353,2202)(354,2201)(355,2200)(356,2199)(357,2198)(358,2197)(359,2196)(360,2195)(361,2194)(362,2193)(363,2192)(364,2191)(365,2190)(366,2189)(367,2188)(368,2187)(369,2186)(370,2185)(371,2184)(372,2183)(373,2182)(374,2181)(375,2180)(376,2179)(377,2178)(378,2177)(379,2176)(380,2175)(381,2174)(382,2173)(383,2172)(384,2171)(385,2170)(386,2169)(387,2168)(388,2167)(389,2166)(390,2165)(391,2164)(392,2163)(393,2162)(394,2161)(395,2160)(396,2159)(397,2158)(398,2157)(399,2156)(400,2155)(401,2154)(402,2153)(403,2152)(404,2151)(405,2150)(406,2149)(407,2148)(408,2147)(409,2146)(410,2145)(411,2144)(412,2143)(413,2142)(414,2141)(415,2140)(416,2139)(417,2138)(418,2137)(419,2136)(420,2135)(421,2134)(422,2133)(423,2132)(424,2131)(425,2130)(426,2129)(427,2128)(428,2127)(429,2126)(430,2125)(431,2124)(432,2123)(433,2122)(434,2121)(435,2120)(436,2119)(437,2118)(438,2117)(439,2116)(440,2115)(441,2114)(442,2113)(443,2112)(444,2111)(445,2110)(446,2109)(447,2108)(448,2107)(449,2106)(450,2105)(451,2104)(452,2103)(453,2102)(454,2101)(455,2100)(456,2099)(457,2098)(458,2097)(459,2096)(460,2095)(461,2094)(462,2093)(463,2092)(464,2091)(465,2090)(466,2089)(467,2088)(468,2087)(469,2086)(470,2085)(471,2084)(472,2083)(473,2082)(474,2081)(475,2080)(476,2079)(477,2078)(478,2077)(479,2076)(480,2075)(481,2074)(482,2073)(483,2072)(484,2071)(485,2070)(486,2069)(487,2068)(488,2067)(489,2066)(490,2065)(491,2064)(492,2063)(493,2062)(494,2061)(495,2060)(496,2059)(497,2058)(498,2057)(499,2056)(500,2055)(501,2054)(502,2053)(503,2052)(504,2051)(505,2050)(506,2049)(507,2048)(508,2047)(509,2046)(510,2045)(511,2044)(512,2043)(513,2042)(514,2041)(515,2040)(516,2039)(517,2038)(518,2037)(519,2036)(520,2035)(521,2034)(522,2033)(523,2032)(524,2031)(525,2030)(526,2029)(527,2028)(528,2027)(529,2026)(530,2025)(531,2024)(532,2023)(533,2022)(534,2021)(535,2020)(536,2019)(537,2018)(538,2017)(539,2016)(540,2015)(541,2014)(542,2013)(543,2012)(544,2011)(545,2010)(546,2009)(547,2008)(548,2007)(549,2006)(550,2005)(551,2004)(552,2003)(553,2002)(554,2001)(555,2000)(556,1999)(557,1998)(558,1997)(559,1996)(560,1995)(561,1994)(562,1993)(563,1992)(564,1991)(565,1990)(566,1989)(567,1988)(568,1987)(569,1986)(570,1985)(571,1984)(572,1983)(573,1982)(574,1981)(575,1980)(576,1979)(577,1978)(578,1977)(579,1976)(580,1975)(581,1974)(582,1973)(583,1972)(584,1971)(585,1970)(586,1969)(587,1968)(588,1967)(589,1966)(590,1965)(591,1964)(592,1963)(593,1962)(594,1961)(595,1960)(596,1959)(597,1958)(598,1957)(599,1956)(600,1955)(601,1954)(602,1953)(603,1952)(604,1951)(605,1950)(606,1949)(607,1948)(608,1947)(609,1946)(610,1945)(611,1944)(612,1943)(613,1942)(614,1941)(615,1940)(616,1939)(617,1938)(618,1937)(619,1936)(620,1935)(621,1934)(622,1933)(623,1932)(624,1931)(625,1930)(626,1929)(627,1928)(628,1927)(629,1926)(630,1925)(631,1924)(632,1923)(633,1922)(634,1921)(635,1920)(636,1919)(637,1918)(638,1917)(639,1916)(640,1915)(641,1914)(642,1913)(643,1912)(644,1911)(645,1910)(646,1909)(647,1908)(648,1907)(649,1906)(650,1905)(651,1904)(652,1903)(653,1902)(654,1901)(655,1900)(656,1899)(657,1898)(658,1897)(659,1896)(660,1895)(661,1894)(662,1893)(663,1892)(664,1891)(665,1890)(666,1889)(667,1888)(668,1887)(669,1886)(670,1885)(671,1884)(672,1883)(673,1882)(674,1881)(675,1880)(676,1879)(677,1878)(678,1877)(679,1876)(680,1875)(681,1874)(682,1873)(683,1872)(684,1871)(685,1870)(686,1869)(687,1868)(688,1867)(689,1866)(690,1865)(691,1864)(692,1863)(693,1862)(694,1861)(695,1860)(696,1859)(697,1858)(698,1857)(699,1856)(700,1855)(701,1854)(702,1853)(703,1852)(704,1851)(705,1850)(706,1849)(707,1848)(708,1847)(709,1846)(710,1845)(711,1844)(712,1843)(713,1842)(714,1841)(715,1840)(716,1839)(717,1838)(718,1837)(719,1836)(720,1835)(721,1834)(722,1833)(723,1832)(724,1831)(725,1830)(726,1829)(727,1828)(728,1827)(729,1826)(730,1825)(731,1824)(732,1823)(733,1822)(734,1821)(735,1820)(736,1819)(737,1818)(738,1817)(739,1816)(740,1815)(741,1814)(742,1813)(743,1812)(744,1811)(745,1810)(746,1809)(747,1808)(748,1807)(749,1806)(750,1805)(751,1804)(752,1803)(753,1802)(754,1801)(755,1800)(756,1799)(757,1798)(758,1797)(759,1796)(760,1795)(761,1794)(762,1793)(763,1792)(764,1791)(765,1790)(766,1789)(767,1788)(768,1787)(769,1786)(770,1785)(771,1784)(772,1783)(773,1782)(774,1781)(775,1780)(776,1779)(777,1778)(778,1777)(779,1776)(780,1775)(781,1774)(782,1773)(783,1772)(784,1771)(785,1770)(786,1769)(787,1768)(788,1767)(789,1766)(790,1765)(791,1764)(792,1763)(793,1762)(794,1761)(795,1760)(796,1759)(797,1758)(798,1757)(799,1756)(800,1755)(801,1754)(802,1753)(803,1752)(804,1751)(805,1750)(806,1749)(807,1748)(808,1747)(809,1746)(810,1745)(811,1744)(812,1743)(813,1742)(814,1741)(815,1740)(816,1739)(817,1738)(818,1737)(819,1736)(820,1735)(821,1734)(822,1733)(823,1732)(824,1731)(825,1730)(826,1729)(827,1728)(828,1727)(829,1726)(830,1725)(831,1724)(832,1723)(833,1722)(834,1721)(835,1720)(836,1719)(837,1718)(838,1717)(839,1716)(840,1715)(841,1714)(842,1713)(843,1712)(844,1711)(845,1710)(846,1709)(847,1708)(848,1707)(849,1706)(850,1705)(851,1704)(852,1703)(853,1702)(854,1701)(855,1700)(856,1699)(857,1698)(858,1697)(859,1696)(860,1695)(861,1694)(862,1693)(863,1692)(864,1691)(865,1690)(866,1689)(867,1688)(868,1687)(869,1686)(870,1685)(871,1684)(872,1683)(873,1682)(874,1681)(875,1680)(876,1679)(877,1678)(878,1677)(879,1676)(880,1675)(881,1674)(882,1673)(883,1672)(884,1671)(885,1670)(886,1669)(887,1668)(888,1667)(889,1666)(890,1665)(891,1664)(892,1663)(893,1662)(894,1661)(895,1660)(896,1659)(897,1658)(898,1657)(899,1656)(900,1655)(901,1654)(902,1653)(903,1652)(904,1651)(905,1650)(906,1649)(907,1648)(908,1647)(909,1646)(910,1645)(911,1644)(912,1643)(913,1642)(914,1641)(915,1640)(916,1639)(917,1638)(918,1637)(919,1636)(920,1635)(921,1634)(922,1633)(923,1632)(924,1631)(925,1630)(926,1629)(927,1628)(928,1627)(929,1626)(930,1625)(931,1624)(932,1623)(933,1622)(934,1621)(935,1620)(936,1619)(937,1618)(938,1617)(939,1616)(940,1615)(941,1614)(942,1613)(943,1612)(944,1611)(945,1610)(946,1609)(947,1608)(948,1607)(949,1606)(950,1605)(951,1604)(952,1603)(953,1602)(954,1601)(955,1600)(956,1599)(957,1598)(958,1597)(959,1596)(960,1595)(961,1594)(962,1593)(963,1592)(964,1591)(965,1590)(966,1589)(967,1588)(968,1587)(969,1586)(970,1585)(971,1584)(972,1583)(973,1582)(974,1581)(975,1580)(976,1579)(977,1578)(978,1577)(979,1576)(980,1575)(981,1574)(982,1573)(983,1572)(984,1571)(985,1570)(986,1569)(987,1568)(988,1567)(989,1566)(990,1565)(991,1564)(992,1563)(993,1562)(994,1561)(995,1560)(996,1559)(997,1558)(998,1557)(999,1556)(1000,1555)(1001,1554)(1002,1553)(1003,1552)(1004,1551)(1005,1550)(1006,1549)(1007,1548)(1008,1547)(1009,1546)(1010,1545)(1011,1544)(1012,1543)(1013,1542)(1014,1541)(1015,1540)(1016,1539)(1017,1538)(1018,1537)(1019,1536)(1020,1535)(1021,1534)(1022,1533)(1023,1532)(1024,1531)(1025,1530)(1026,1529)(1027,1528)(1028,1527)(1029,1526)(1030,1525)(1031,1524)(1032,1523)(1033,1522)(1034,1521)(1035,1520)(1036,1519)(1037,1518)(1038,1517)(1039,1516)(1040,1515)(1041,1514)(1042,1513)(1043,1512)(1044,1511)(1045,1510)(1046,1509)(1047,1508)(1048,1507)(1049,1506)(1050,1505)(1051,1504)(1052,1503)(1053,1502)(1054,1501)(1055,1500)(1056,1499)(1057,1498)(1058,1497)(1059,1496)(1060,1495)(1061,1494)(1062,1493)(1063,1492)(1064,1491)(1065,1490)(1066,1489)(1067,1488)(1068,1487)(1069,1486)(1070,1485)(1071,1484)(1072,1483)(1073,1482)(1074,1481)(1075,1480)(1076,1479)(1077,1478)(1078,1477)(1079,1476)(1080,1475)(1081,1474)(1082,1473)(1083,1472)(1084,1471)(1085,1470)(1086,1469)(1087,1468)(1088,1467)(1089,1466)(1090,1465)(1091,1464)(1092,1463)(1093,1462)(1094,1461)(1095,1460)(1096,1459)(1097,1458)(1098,1457)(1099,1456)(1100,1455)(1101,1454)(1102,1453)(1103,1452)(1104,1451)(1105,1450)(1106,1449)(1107,1448)(1108,1447)(1109,1446)(1110,1445)(1111,1444)(1112,1443)(1113,1442)(1114,1441)(1115,1440)(1116,1439)(1117,1438)(1118,1437)(1119,1436)(1120,1435)(1121,1434)(1122,1433)(1123,1432)(1124,1431)(1125,1430)(1126,1429)(1127,1428)(1128,1427)(1129,1426)(1130,1425)(1131,1424)(1132,1423)(1133,1422)(1134,1421)(1135,1420)(1136,1419)(1137,1418)(1138,1417)(1139,1416)(1140,1415)(1141,1414)(1142,1413)(1143,1412)(1144,1411)(1145,1410)(1146,1409)(1147,1408)(1148,1407)(1149,1406)(1150,1405)(1151,1404)(1152,1403)(1153,1402)(1154,1401)(1155,1400)(1156,1399)(1157,1398)(1158,1397)(1159,1396)(1160,1395)(1161,1394)(1162,1393)(1163,1392)(1164,1391)(1165,1390)(1166,1389)(1167,1388)(1168,1387)(1169,1386)(1170,1385)(1171,1384)(1172,1383)(1173,1382)(1174,1381)(1175,1380)(1176,1379)(1177,1378)(1178,1377)(1179,1376)(1180,1375)(1181,1374)(1182,1373)(1183,1372)(1184,1371)(1185,1370)(1186,1369)(1187,1368)(1188,1367)(1189,1366)(1190,1365)(1191,1364)(1192,1363)(1193,1362)(1194,1361)(1195,1360)(1196,1359)(1197,1358)(1198,1357)(1199,1356)(1200,1355)(1201,1354)(1202,1353)(1203,1352)(1204,1351)(1205,1350)(1206,1349)(1207,1348)(1208,1347)(1209,1346)(1210,1345)(1211,1344)(1212,1343)(1213,1342)(1214,1341)(1215,1340)(1216,1339)(1217,1338)(1218,1337)(1219,1336)(1220,1335)(1221,1334)(1222,1333)(1223,1332)(1224,1331)(1225,1330)(1226,1329)(1227,1328)(1228,1327)(1229,1326)(1230,1325)(1231,1324)(1232,1323)(1233,1322)(1234,1321)(1235,1320)(1236,1319)(1237,1318)(1238,1317)(1239,1316)(1240,1315)(1241,1314)(1242,1313)(1243,1312)(1244,1311)(1245,1310)(1246,1309)(1247,1308)(1248,1307)(1249,1306)(1250,1305)(1251,1304)(1252,1303)(1253,1302)(1254,1301)(1255,1300)(1256,1299)(1257,1298)(1258,1297)(1259,1296)(1260,1295)(1261,1294)(1262,1293)(1263,1292)(1264,1291)(1265,1290)(1266,1289)(1267,1288)(1268,1287)(1269,1286)(1270,1285)(1271,1284)(1272,1283)(1273,1282)(1274,1281)(1275,1280)(1276,1279)(1277,1278)
Conjugacy classes & character table
7632 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30516, 10);
Finite Group Databasebeta