← Prev (#24925716) Next (#24925718) →
Aliases
Splittings
Subgroups
10 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 2713 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);(4,2713)(5,2712)(6,2711)(7,2710)(8,2709)(9,2708)(10,2707)(11,2706)(12,2705)(13,2704)(14,2703)(15,2702)(16,2701)(17,2700)(18,2699)(19,2698)(20,2697)(21,2696)(22,2695)(23,2694)(24,2693)(25,2692)(26,2691)(27,2690)(28,2689)(29,2688)(30,2687)(31,2686)(32,2685)(33,2684)(34,2683)(35,2682)(36,2681)(37,2680)(38,2679)(39,2678)(40,2677)(41,2676)(42,2675)(43,2674)(44,2673)(45,2672)(46,2671)(47,2670)(48,2669)(49,2668)(50,2667)(51,2666)(52,2665)(53,2664)(54,2663)(55,2662)(56,2661)(57,2660)(58,2659)(59,2658)(60,2657)(61,2656)(62,2655)(63,2654)(64,2653)(65,2652)(66,2651)(67,2650)(68,2649)(69,2648)(70,2647)(71,2646)(72,2645)(73,2644)(74,2643)(75,2642)(76,2641)(77,2640)(78,2639)(79,2638)(80,2637)(81,2636)(82,2635)(83,2634)(84,2633)(85,2632)(86,2631)(87,2630)(88,2629)(89,2628)(90,2627)(91,2626)(92,2625)(93,2624)(94,2623)(95,2622)(96,2621)(97,2620)(98,2619)(99,2618)(100,2617)(101,2616)(102,2615)(103,2614)(104,2613)(105,2612)(106,2611)(107,2610)(108,2609)(109,2608)(110,2607)(111,2606)(112,2605)(113,2604)(114,2603)(115,2602)(116,2601)(117,2600)(118,2599)(119,2598)(120,2597)(121,2596)(122,2595)(123,2594)(124,2593)(125,2592)(126,2591)(127,2590)(128,2589)(129,2588)(130,2587)(131,2586)(132,2585)(133,2584)(134,2583)(135,2582)(136,2581)(137,2580)(138,2579)(139,2578)(140,2577)(141,2576)(142,2575)(143,2574)(144,2573)(145,2572)(146,2571)(147,2570)(148,2569)(149,2568)(150,2567)(151,2566)(152,2565)(153,2564)(154,2563)(155,2562)(156,2561)(157,2560)(158,2559)(159,2558)(160,2557)(161,2556)(162,2555)(163,2554)(164,2553)(165,2552)(166,2551)(167,2550)(168,2549)(169,2548)(170,2547)(171,2546)(172,2545)(173,2544)(174,2543)(175,2542)(176,2541)(177,2540)(178,2539)(179,2538)(180,2537)(181,2536)(182,2535)(183,2534)(184,2533)(185,2532)(186,2531)(187,2530)(188,2529)(189,2528)(190,2527)(191,2526)(192,2525)(193,2524)(194,2523)(195,2522)(196,2521)(197,2520)(198,2519)(199,2518)(200,2517)(201,2516)(202,2515)(203,2514)(204,2513)(205,2512)(206,2511)(207,2510)(208,2509)(209,2508)(210,2507)(211,2506)(212,2505)(213,2504)(214,2503)(215,2502)(216,2501)(217,2500)(218,2499)(219,2498)(220,2497)(221,2496)(222,2495)(223,2494)(224,2493)(225,2492)(226,2491)(227,2490)(228,2489)(229,2488)(230,2487)(231,2486)(232,2485)(233,2484)(234,2483)(235,2482)(236,2481)(237,2480)(238,2479)(239,2478)(240,2477)(241,2476)(242,2475)(243,2474)(244,2473)(245,2472)(246,2471)(247,2470)(248,2469)(249,2468)(250,2467)(251,2466)(252,2465)(253,2464)(254,2463)(255,2462)(256,2461)(257,2460)(258,2459)(259,2458)(260,2457)(261,2456)(262,2455)(263,2454)(264,2453)(265,2452)(266,2451)(267,2450)(268,2449)(269,2448)(270,2447)(271,2446)(272,2445)(273,2444)(274,2443)(275,2442)(276,2441)(277,2440)(278,2439)(279,2438)(280,2437)(281,2436)(282,2435)(283,2434)(284,2433)(285,2432)(286,2431)(287,2430)(288,2429)(289,2428)(290,2427)(291,2426)(292,2425)(293,2424)(294,2423)(295,2422)(296,2421)(297,2420)(298,2419)(299,2418)(300,2417)(301,2416)(302,2415)(303,2414)(304,2413)(305,2412)(306,2411)(307,2410)(308,2409)(309,2408)(310,2407)(311,2406)(312,2405)(313,2404)(314,2403)(315,2402)(316,2401)(317,2400)(318,2399)(319,2398)(320,2397)(321,2396)(322,2395)(323,2394)(324,2393)(325,2392)(326,2391)(327,2390)(328,2389)(329,2388)(330,2387)(331,2386)(332,2385)(333,2384)(334,2383)(335,2382)(336,2381)(337,2380)(338,2379)(339,2378)(340,2377)(341,2376)(342,2375)(343,2374)(344,2373)(345,2372)(346,2371)(347,2370)(348,2369)(349,2368)(350,2367)(351,2366)(352,2365)(353,2364)(354,2363)(355,2362)(356,2361)(357,2360)(358,2359)(359,2358)(360,2357)(361,2356)(362,2355)(363,2354)(364,2353)(365,2352)(366,2351)(367,2350)(368,2349)(369,2348)(370,2347)(371,2346)(372,2345)(373,2344)(374,2343)(375,2342)(376,2341)(377,2340)(378,2339)(379,2338)(380,2337)(381,2336)(382,2335)(383,2334)(384,2333)(385,2332)(386,2331)(387,2330)(388,2329)(389,2328)(390,2327)(391,2326)(392,2325)(393,2324)(394,2323)(395,2322)(396,2321)(397,2320)(398,2319)(399,2318)(400,2317)(401,2316)(402,2315)(403,2314)(404,2313)(405,2312)(406,2311)(407,2310)(408,2309)(409,2308)(410,2307)(411,2306)(412,2305)(413,2304)(414,2303)(415,2302)(416,2301)(417,2300)(418,2299)(419,2298)(420,2297)(421,2296)(422,2295)(423,2294)(424,2293)(425,2292)(426,2291)(427,2290)(428,2289)(429,2288)(430,2287)(431,2286)(432,2285)(433,2284)(434,2283)(435,2282)(436,2281)(437,2280)(438,2279)(439,2278)(440,2277)(441,2276)(442,2275)(443,2274)(444,2273)(445,2272)(446,2271)(447,2270)(448,2269)(449,2268)(450,2267)(451,2266)(452,2265)(453,2264)(454,2263)(455,2262)(456,2261)(457,2260)(458,2259)(459,2258)(460,2257)(461,2256)(462,2255)(463,2254)(464,2253)(465,2252)(466,2251)(467,2250)(468,2249)(469,2248)(470,2247)(471,2246)(472,2245)(473,2244)(474,2243)(475,2242)(476,2241)(477,2240)(478,2239)(479,2238)(480,2237)(481,2236)(482,2235)(483,2234)(484,2233)(485,2232)(486,2231)(487,2230)(488,2229)(489,2228)(490,2227)(491,2226)(492,2225)(493,2224)(494,2223)(495,2222)(496,2221)(497,2220)(498,2219)(499,2218)(500,2217)(501,2216)(502,2215)(503,2214)(504,2213)(505,2212)(506,2211)(507,2210)(508,2209)(509,2208)(510,2207)(511,2206)(512,2205)(513,2204)(514,2203)(515,2202)(516,2201)(517,2200)(518,2199)(519,2198)(520,2197)(521,2196)(522,2195)(523,2194)(524,2193)(525,2192)(526,2191)(527,2190)(528,2189)(529,2188)(530,2187)(531,2186)(532,2185)(533,2184)(534,2183)(535,2182)(536,2181)(537,2180)(538,2179)(539,2178)(540,2177)(541,2176)(542,2175)(543,2174)(544,2173)(545,2172)(546,2171)(547,2170)(548,2169)(549,2168)(550,2167)(551,2166)(552,2165)(553,2164)(554,2163)(555,2162)(556,2161)(557,2160)(558,2159)(559,2158)(560,2157)(561,2156)(562,2155)(563,2154)(564,2153)(565,2152)(566,2151)(567,2150)(568,2149)(569,2148)(570,2147)(571,2146)(572,2145)(573,2144)(574,2143)(575,2142)(576,2141)(577,2140)(578,2139)(579,2138)(580,2137)(581,2136)(582,2135)(583,2134)(584,2133)(585,2132)(586,2131)(587,2130)(588,2129)(589,2128)(590,2127)(591,2126)(592,2125)(593,2124)(594,2123)(595,2122)(596,2121)(597,2120)(598,2119)(599,2118)(600,2117)(601,2116)(602,2115)(603,2114)(604,2113)(605,2112)(606,2111)(607,2110)(608,2109)(609,2108)(610,2107)(611,2106)(612,2105)(613,2104)(614,2103)(615,2102)(616,2101)(617,2100)(618,2099)(619,2098)(620,2097)(621,2096)(622,2095)(623,2094)(624,2093)(625,2092)(626,2091)(627,2090)(628,2089)(629,2088)(630,2087)(631,2086)(632,2085)(633,2084)(634,2083)(635,2082)(636,2081)(637,2080)(638,2079)(639,2078)(640,2077)(641,2076)(642,2075)(643,2074)(644,2073)(645,2072)(646,2071)(647,2070)(648,2069)(649,2068)(650,2067)(651,2066)(652,2065)(653,2064)(654,2063)(655,2062)(656,2061)(657,2060)(658,2059)(659,2058)(660,2057)(661,2056)(662,2055)(663,2054)(664,2053)(665,2052)(666,2051)(667,2050)(668,2049)(669,2048)(670,2047)(671,2046)(672,2045)(673,2044)(674,2043)(675,2042)(676,2041)(677,2040)(678,2039)(679,2038)(680,2037)(681,2036)(682,2035)(683,2034)(684,2033)(685,2032)(686,2031)(687,2030)(688,2029)(689,2028)(690,2027)(691,2026)(692,2025)(693,2024)(694,2023)(695,2022)(696,2021)(697,2020)(698,2019)(699,2018)(700,2017)(701,2016)(702,2015)(703,2014)(704,2013)(705,2012)(706,2011)(707,2010)(708,2009)(709,2008)(710,2007)(711,2006)(712,2005)(713,2004)(714,2003)(715,2002)(716,2001)(717,2000)(718,1999)(719,1998)(720,1997)(721,1996)(722,1995)(723,1994)(724,1993)(725,1992)(726,1991)(727,1990)(728,1989)(729,1988)(730,1987)(731,1986)(732,1985)(733,1984)(734,1983)(735,1982)(736,1981)(737,1980)(738,1979)(739,1978)(740,1977)(741,1976)(742,1975)(743,1974)(744,1973)(745,1972)(746,1971)(747,1970)(748,1969)(749,1968)(750,1967)(751,1966)(752,1965)(753,1964)(754,1963)(755,1962)(756,1961)(757,1960)(758,1959)(759,1958)(760,1957)(761,1956)(762,1955)(763,1954)(764,1953)(765,1952)(766,1951)(767,1950)(768,1949)(769,1948)(770,1947)(771,1946)(772,1945)(773,1944)(774,1943)(775,1942)(776,1941)(777,1940)(778,1939)(779,1938)(780,1937)(781,1936)(782,1935)(783,1934)(784,1933)(785,1932)(786,1931)(787,1930)(788,1929)(789,1928)(790,1927)(791,1926)(792,1925)(793,1924)(794,1923)(795,1922)(796,1921)(797,1920)(798,1919)(799,1918)(800,1917)(801,1916)(802,1915)(803,1914)(804,1913)(805,1912)(806,1911)(807,1910)(808,1909)(809,1908)(810,1907)(811,1906)(812,1905)(813,1904)(814,1903)(815,1902)(816,1901)(817,1900)(818,1899)(819,1898)(820,1897)(821,1896)(822,1895)(823,1894)(824,1893)(825,1892)(826,1891)(827,1890)(828,1889)(829,1888)(830,1887)(831,1886)(832,1885)(833,1884)(834,1883)(835,1882)(836,1881)(837,1880)(838,1879)(839,1878)(840,1877)(841,1876)(842,1875)(843,1874)(844,1873)(845,1872)(846,1871)(847,1870)(848,1869)(849,1868)(850,1867)(851,1866)(852,1865)(853,1864)(854,1863)(855,1862)(856,1861)(857,1860)(858,1859)(859,1858)(860,1857)(861,1856)(862,1855)(863,1854)(864,1853)(865,1852)(866,1851)(867,1850)(868,1849)(869,1848)(870,1847)(871,1846)(872,1845)(873,1844)(874,1843)(875,1842)(876,1841)(877,1840)(878,1839)(879,1838)(880,1837)(881,1836)(882,1835)(883,1834)(884,1833)(885,1832)(886,1831)(887,1830)(888,1829)(889,1828)(890,1827)(891,1826)(892,1825)(893,1824)(894,1823)(895,1822)(896,1821)(897,1820)(898,1819)(899,1818)(900,1817)(901,1816)(902,1815)(903,1814)(904,1813)(905,1812)(906,1811)(907,1810)(908,1809)(909,1808)(910,1807)(911,1806)(912,1805)(913,1804)(914,1803)(915,1802)(916,1801)(917,1800)(918,1799)(919,1798)(920,1797)(921,1796)(922,1795)(923,1794)(924,1793)(925,1792)(926,1791)(927,1790)(928,1789)(929,1788)(930,1787)(931,1786)(932,1785)(933,1784)(934,1783)(935,1782)(936,1781)(937,1780)(938,1779)(939,1778)(940,1777)(941,1776)(942,1775)(943,1774)(944,1773)(945,1772)(946,1771)(947,1770)(948,1769)(949,1768)(950,1767)(951,1766)(952,1765)(953,1764)(954,1763)(955,1762)(956,1761)(957,1760)(958,1759)(959,1758)(960,1757)(961,1756)(962,1755)(963,1754)(964,1753)(965,1752)(966,1751)(967,1750)(968,1749)(969,1748)(970,1747)(971,1746)(972,1745)(973,1744)(974,1743)(975,1742)(976,1741)(977,1740)(978,1739)(979,1738)(980,1737)(981,1736)(982,1735)(983,1734)(984,1733)(985,1732)(986,1731)(987,1730)(988,1729)(989,1728)(990,1727)(991,1726)(992,1725)(993,1724)(994,1723)(995,1722)(996,1721)(997,1720)(998,1719)(999,1718)(1000,1717)(1001,1716)(1002,1715)(1003,1714)(1004,1713)(1005,1712)(1006,1711)(1007,1710)(1008,1709)(1009,1708)(1010,1707)(1011,1706)(1012,1705)(1013,1704)(1014,1703)(1015,1702)(1016,1701)(1017,1700)(1018,1699)(1019,1698)(1020,1697)(1021,1696)(1022,1695)(1023,1694)(1024,1693)(1025,1692)(1026,1691)(1027,1690)(1028,1689)(1029,1688)(1030,1687)(1031,1686)(1032,1685)(1033,1684)(1034,1683)(1035,1682)(1036,1681)(1037,1680)(1038,1679)(1039,1678)(1040,1677)(1041,1676)(1042,1675)(1043,1674)(1044,1673)(1045,1672)(1046,1671)(1047,1670)(1048,1669)(1049,1668)(1050,1667)(1051,1666)(1052,1665)(1053,1664)(1054,1663)(1055,1662)(1056,1661)(1057,1660)(1058,1659)(1059,1658)(1060,1657)(1061,1656)(1062,1655)(1063,1654)(1064,1653)(1065,1652)(1066,1651)(1067,1650)(1068,1649)(1069,1648)(1070,1647)(1071,1646)(1072,1645)(1073,1644)(1074,1643)(1075,1642)(1076,1641)(1077,1640)(1078,1639)(1079,1638)(1080,1637)(1081,1636)(1082,1635)(1083,1634)(1084,1633)(1085,1632)(1086,1631)(1087,1630)(1088,1629)(1089,1628)(1090,1627)(1091,1626)(1092,1625)(1093,1624)(1094,1623)(1095,1622)(1096,1621)(1097,1620)(1098,1619)(1099,1618)(1100,1617)(1101,1616)(1102,1615)(1103,1614)(1104,1613)(1105,1612)(1106,1611)(1107,1610)(1108,1609)(1109,1608)(1110,1607)(1111,1606)(1112,1605)(1113,1604)(1114,1603)(1115,1602)(1116,1601)(1117,1600)(1118,1599)(1119,1598)(1120,1597)(1121,1596)(1122,1595)(1123,1594)(1124,1593)(1125,1592)(1126,1591)(1127,1590)(1128,1589)(1129,1588)(1130,1587)(1131,1586)(1132,1585)(1133,1584)(1134,1583)(1135,1582)(1136,1581)(1137,1580)(1138,1579)(1139,1578)(1140,1577)(1141,1576)(1142,1575)(1143,1574)(1144,1573)(1145,1572)(1146,1571)(1147,1570)(1148,1569)(1149,1568)(1150,1567)(1151,1566)(1152,1565)(1153,1564)(1154,1563)(1155,1562)(1156,1561)(1157,1560)(1158,1559)(1159,1558)(1160,1557)(1161,1556)(1162,1555)(1163,1554)(1164,1553)(1165,1552)(1166,1551)(1167,1550)(1168,1549)(1169,1548)(1170,1547)(1171,1546)(1172,1545)(1173,1544)(1174,1543)(1175,1542)(1176,1541)(1177,1540)(1178,1539)(1179,1538)(1180,1537)(1181,1536)(1182,1535)(1183,1534)(1184,1533)(1185,1532)(1186,1531)(1187,1530)(1188,1529)(1189,1528)(1190,1527)(1191,1526)(1192,1525)(1193,1524)(1194,1523)(1195,1522)(1196,1521)(1197,1520)(1198,1519)(1199,1518)(1200,1517)(1201,1516)(1202,1515)(1203,1514)(1204,1513)(1205,1512)(1206,1511)(1207,1510)(1208,1509)(1209,1508)(1210,1507)(1211,1506)(1212,1505)(1213,1504)(1214,1503)(1215,1502)(1216,1501)(1217,1500)(1218,1499)(1219,1498)(1220,1497)(1221,1496)(1222,1495)(1223,1494)(1224,1493)(1225,1492)(1226,1491)(1227,1490)(1228,1489)(1229,1488)(1230,1487)(1231,1486)(1232,1485)(1233,1484)(1234,1483)(1235,1482)(1236,1481)(1237,1480)(1238,1479)(1239,1478)(1240,1477)(1241,1476)(1242,1475)(1243,1474)(1244,1473)(1245,1472)(1246,1471)(1247,1470)(1248,1469)(1249,1468)(1250,1467)(1251,1466)(1252,1465)(1253,1464)(1254,1463)(1255,1462)(1256,1461)(1257,1460)(1258,1459)(1259,1458)(1260,1457)(1261,1456)(1262,1455)(1263,1454)(1264,1453)(1265,1452)(1266,1451)(1267,1450)(1268,1449)(1269,1448)(1270,1447)(1271,1446)(1272,1445)(1273,1444)(1274,1443)(1275,1442)(1276,1441)(1277,1440)(1278,1439)(1279,1438)(1280,1437)(1281,1436)(1282,1435)(1283,1434)(1284,1433)(1285,1432)(1286,1431)(1287,1430)(1288,1429)(1289,1428)(1290,1427)(1291,1426)(1292,1425)(1293,1424)(1294,1423)(1295,1422)(1296,1421)(1297,1420)(1298,1419)(1299,1418)(1300,1417)(1301,1416)(1302,1415)(1303,1414)(1304,1413)(1305,1412)(1306,1411)(1307,1410)(1308,1409)(1309,1408)(1310,1407)(1311,1406)(1312,1405)(1313,1404)(1314,1403)(1315,1402)(1316,1401)(1317,1400)(1318,1399)(1319,1398)(1320,1397)(1321,1396)(1322,1395)(1323,1394)(1324,1393)(1325,1392)(1326,1391)(1327,1390)(1328,1389)(1329,1388)(1330,1387)(1331,1386)(1332,1385)(1333,1384)(1334,1383)(1335,1382)(1336,1381)(1337,1380)(1338,1379)(1339,1378)(1340,1377)(1341,1376)(1342,1375)(1343,1374)(1344,1373)(1345,1372)(1346,1371)(1347,1370)(1348,1369)(1349,1368)(1350,1367)(1351,1366)(1352,1365)(1353,1364)(1354,1363)(1355,1362)(1356,1361)(1357,1360)(1358,1359)
Conjugacy classes & character table
2714 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10844, 3);
Finite Group Databasebeta