← Prev (#45658706) Next (#45658708) →
Aliases
Splittings
Subgroups
20 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 2734 points:
(1,2)(3,4,5)(6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2070,2071,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,2180,2181,2182,2183,2184,2185,2186,2187,2188,2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,2217,2218,2219,2220,2221,2222,2223,2224,2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2236,2237,2238,2239,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,2253,2254,2255,2256,2257,2258,2259,2260,2261,2262,2263,2264,2265,2266,2267,2268,2269,2270,2271,2272,2273,2274,2275,2276,2277,2278,2279,2280,2281,2282,2283,2284,2285,2286,2287,2288,2289,2290,2291,2292,2293,2294,2295,2296,2297,2298,2299,2300,2301,2302,2303,2304,2305,2306,2307,2308,2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,2320,2321,2322,2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,2333,2334,2335,2336,2337,2338,2339,2340,2341,2342,2343,2344,2345,2346,2347,2348,2349,2350,2351,2352,2353,2354,2355,2356,2357,2358,2359,2360,2361,2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,2372,2373,2374,2375,2376,2377,2378,2379,2380,2381,2382,2383,2384,2385,2386,2387,2388,2389,2390,2391,2392,2393,2394,2395,2396,2397,2398,2399,2400,2401,2402,2403,2404,2405,2406,2407,2408,2409,2410,2411,2412,2413,2414,2415,2416,2417,2418,2419,2420,2421,2422,2423,2424,2425,2426,2427,2428,2429,2430,2431,2432,2433,2434,2435,2436,2437,2438,2439,2440,2441,2442,2443,2444,2445,2446,2447,2448,2449,2450,2451,2452,2453,2454,2455,2456,2457,2458,2459,2460,2461,2462,2463,2464,2465,2466,2467,2468,2469,2470,2471,2472,2473,2474,2475,2476,2477,2478,2479,2480,2481,2482,2483,2484,2485,2486,2487,2488,2489,2490,2491,2492,2493,2494,2495,2496,2497,2498,2499,2500,2501,2502,2503,2504,2505,2506,2507,2508,2509,2510,2511,2512,2513,2514,2515,2516,2517,2518,2519,2520,2521,2522,2523,2524,2525,2526,2527,2528,2529,2530,2531,2532,2533,2534,2535,2536,2537,2538,2539,2540,2541,2542,2543,2544,2545,2546,2547,2548,2549,2550,2551,2552,2553,2554,2555,2556,2557,2558,2559,2560,2561,2562,2563,2564,2565,2566,2567,2568,2569,2570,2571,2572,2573,2574,2575,2576,2577,2578,2579,2580,2581,2582,2583,2584,2585,2586,2587,2588,2589,2590,2591,2592,2593,2594,2595,2596,2597,2598,2599,2600,2601,2602,2603,2604,2605,2606,2607,2608,2609,2610,2611,2612,2613,2614,2615,2616,2617,2618,2619,2620,2621,2622,2623,2624,2625,2626,2627,2628,2629,2630,2631,2632,2633,2634,2635,2636,2637,2638,2639,2640,2641,2642,2643,2644,2645,2646,2647,2648,2649,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,2662,2663,2664,2665,2666,2667,2668,2669,2670,2671,2672,2673,2674,2675,2676,2677,2678,2679,2680,2681,2682,2683,2684,2685,2686,2687,2688,2689,2690,2691,2692,2693,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,2705,2706,2707,2708,2709,2710,2711,2712,2713,2714,2715,2716,2717,2718,2719,2720,2721,2722,2723,2724,2725,2726,2727,2728,2729,2730,2731,2732,2733,2734);(4,5)(7,2734)(8,2733)(9,2732)(10,2731)(11,2730)(12,2729)(13,2728)(14,2727)(15,2726)(16,2725)(17,2724)(18,2723)(19,2722)(20,2721)(21,2720)(22,2719)(23,2718)(24,2717)(25,2716)(26,2715)(27,2714)(28,2713)(29,2712)(30,2711)(31,2710)(32,2709)(33,2708)(34,2707)(35,2706)(36,2705)(37,2704)(38,2703)(39,2702)(40,2701)(41,2700)(42,2699)(43,2698)(44,2697)(45,2696)(46,2695)(47,2694)(48,2693)(49,2692)(50,2691)(51,2690)(52,2689)(53,2688)(54,2687)(55,2686)(56,2685)(57,2684)(58,2683)(59,2682)(60,2681)(61,2680)(62,2679)(63,2678)(64,2677)(65,2676)(66,2675)(67,2674)(68,2673)(69,2672)(70,2671)(71,2670)(72,2669)(73,2668)(74,2667)(75,2666)(76,2665)(77,2664)(78,2663)(79,2662)(80,2661)(81,2660)(82,2659)(83,2658)(84,2657)(85,2656)(86,2655)(87,2654)(88,2653)(89,2652)(90,2651)(91,2650)(92,2649)(93,2648)(94,2647)(95,2646)(96,2645)(97,2644)(98,2643)(99,2642)(100,2641)(101,2640)(102,2639)(103,2638)(104,2637)(105,2636)(106,2635)(107,2634)(108,2633)(109,2632)(110,2631)(111,2630)(112,2629)(113,2628)(114,2627)(115,2626)(116,2625)(117,2624)(118,2623)(119,2622)(120,2621)(121,2620)(122,2619)(123,2618)(124,2617)(125,2616)(126,2615)(127,2614)(128,2613)(129,2612)(130,2611)(131,2610)(132,2609)(133,2608)(134,2607)(135,2606)(136,2605)(137,2604)(138,2603)(139,2602)(140,2601)(141,2600)(142,2599)(143,2598)(144,2597)(145,2596)(146,2595)(147,2594)(148,2593)(149,2592)(150,2591)(151,2590)(152,2589)(153,2588)(154,2587)(155,2586)(156,2585)(157,2584)(158,2583)(159,2582)(160,2581)(161,2580)(162,2579)(163,2578)(164,2577)(165,2576)(166,2575)(167,2574)(168,2573)(169,2572)(170,2571)(171,2570)(172,2569)(173,2568)(174,2567)(175,2566)(176,2565)(177,2564)(178,2563)(179,2562)(180,2561)(181,2560)(182,2559)(183,2558)(184,2557)(185,2556)(186,2555)(187,2554)(188,2553)(189,2552)(190,2551)(191,2550)(192,2549)(193,2548)(194,2547)(195,2546)(196,2545)(197,2544)(198,2543)(199,2542)(200,2541)(201,2540)(202,2539)(203,2538)(204,2537)(205,2536)(206,2535)(207,2534)(208,2533)(209,2532)(210,2531)(211,2530)(212,2529)(213,2528)(214,2527)(215,2526)(216,2525)(217,2524)(218,2523)(219,2522)(220,2521)(221,2520)(222,2519)(223,2518)(224,2517)(225,2516)(226,2515)(227,2514)(228,2513)(229,2512)(230,2511)(231,2510)(232,2509)(233,2508)(234,2507)(235,2506)(236,2505)(237,2504)(238,2503)(239,2502)(240,2501)(241,2500)(242,2499)(243,2498)(244,2497)(245,2496)(246,2495)(247,2494)(248,2493)(249,2492)(250,2491)(251,2490)(252,2489)(253,2488)(254,2487)(255,2486)(256,2485)(257,2484)(258,2483)(259,2482)(260,2481)(261,2480)(262,2479)(263,2478)(264,2477)(265,2476)(266,2475)(267,2474)(268,2473)(269,2472)(270,2471)(271,2470)(272,2469)(273,2468)(274,2467)(275,2466)(276,2465)(277,2464)(278,2463)(279,2462)(280,2461)(281,2460)(282,2459)(283,2458)(284,2457)(285,2456)(286,2455)(287,2454)(288,2453)(289,2452)(290,2451)(291,2450)(292,2449)(293,2448)(294,2447)(295,2446)(296,2445)(297,2444)(298,2443)(299,2442)(300,2441)(301,2440)(302,2439)(303,2438)(304,2437)(305,2436)(306,2435)(307,2434)(308,2433)(309,2432)(310,2431)(311,2430)(312,2429)(313,2428)(314,2427)(315,2426)(316,2425)(317,2424)(318,2423)(319,2422)(320,2421)(321,2420)(322,2419)(323,2418)(324,2417)(325,2416)(326,2415)(327,2414)(328,2413)(329,2412)(330,2411)(331,2410)(332,2409)(333,2408)(334,2407)(335,2406)(336,2405)(337,2404)(338,2403)(339,2402)(340,2401)(341,2400)(342,2399)(343,2398)(344,2397)(345,2396)(346,2395)(347,2394)(348,2393)(349,2392)(350,2391)(351,2390)(352,2389)(353,2388)(354,2387)(355,2386)(356,2385)(357,2384)(358,2383)(359,2382)(360,2381)(361,2380)(362,2379)(363,2378)(364,2377)(365,2376)(366,2375)(367,2374)(368,2373)(369,2372)(370,2371)(371,2370)(372,2369)(373,2368)(374,2367)(375,2366)(376,2365)(377,2364)(378,2363)(379,2362)(380,2361)(381,2360)(382,2359)(383,2358)(384,2357)(385,2356)(386,2355)(387,2354)(388,2353)(389,2352)(390,2351)(391,2350)(392,2349)(393,2348)(394,2347)(395,2346)(396,2345)(397,2344)(398,2343)(399,2342)(400,2341)(401,2340)(402,2339)(403,2338)(404,2337)(405,2336)(406,2335)(407,2334)(408,2333)(409,2332)(410,2331)(411,2330)(412,2329)(413,2328)(414,2327)(415,2326)(416,2325)(417,2324)(418,2323)(419,2322)(420,2321)(421,2320)(422,2319)(423,2318)(424,2317)(425,2316)(426,2315)(427,2314)(428,2313)(429,2312)(430,2311)(431,2310)(432,2309)(433,2308)(434,2307)(435,2306)(436,2305)(437,2304)(438,2303)(439,2302)(440,2301)(441,2300)(442,2299)(443,2298)(444,2297)(445,2296)(446,2295)(447,2294)(448,2293)(449,2292)(450,2291)(451,2290)(452,2289)(453,2288)(454,2287)(455,2286)(456,2285)(457,2284)(458,2283)(459,2282)(460,2281)(461,2280)(462,2279)(463,2278)(464,2277)(465,2276)(466,2275)(467,2274)(468,2273)(469,2272)(470,2271)(471,2270)(472,2269)(473,2268)(474,2267)(475,2266)(476,2265)(477,2264)(478,2263)(479,2262)(480,2261)(481,2260)(482,2259)(483,2258)(484,2257)(485,2256)(486,2255)(487,2254)(488,2253)(489,2252)(490,2251)(491,2250)(492,2249)(493,2248)(494,2247)(495,2246)(496,2245)(497,2244)(498,2243)(499,2242)(500,2241)(501,2240)(502,2239)(503,2238)(504,2237)(505,2236)(506,2235)(507,2234)(508,2233)(509,2232)(510,2231)(511,2230)(512,2229)(513,2228)(514,2227)(515,2226)(516,2225)(517,2224)(518,2223)(519,2222)(520,2221)(521,2220)(522,2219)(523,2218)(524,2217)(525,2216)(526,2215)(527,2214)(528,2213)(529,2212)(530,2211)(531,2210)(532,2209)(533,2208)(534,2207)(535,2206)(536,2205)(537,2204)(538,2203)(539,2202)(540,2201)(541,2200)(542,2199)(543,2198)(544,2197)(545,2196)(546,2195)(547,2194)(548,2193)(549,2192)(550,2191)(551,2190)(552,2189)(553,2188)(554,2187)(555,2186)(556,2185)(557,2184)(558,2183)(559,2182)(560,2181)(561,2180)(562,2179)(563,2178)(564,2177)(565,2176)(566,2175)(567,2174)(568,2173)(569,2172)(570,2171)(571,2170)(572,2169)(573,2168)(574,2167)(575,2166)(576,2165)(577,2164)(578,2163)(579,2162)(580,2161)(581,2160)(582,2159)(583,2158)(584,2157)(585,2156)(586,2155)(587,2154)(588,2153)(589,2152)(590,2151)(591,2150)(592,2149)(593,2148)(594,2147)(595,2146)(596,2145)(597,2144)(598,2143)(599,2142)(600,2141)(601,2140)(602,2139)(603,2138)(604,2137)(605,2136)(606,2135)(607,2134)(608,2133)(609,2132)(610,2131)(611,2130)(612,2129)(613,2128)(614,2127)(615,2126)(616,2125)(617,2124)(618,2123)(619,2122)(620,2121)(621,2120)(622,2119)(623,2118)(624,2117)(625,2116)(626,2115)(627,2114)(628,2113)(629,2112)(630,2111)(631,2110)(632,2109)(633,2108)(634,2107)(635,2106)(636,2105)(637,2104)(638,2103)(639,2102)(640,2101)(641,2100)(642,2099)(643,2098)(644,2097)(645,2096)(646,2095)(647,2094)(648,2093)(649,2092)(650,2091)(651,2090)(652,2089)(653,2088)(654,2087)(655,2086)(656,2085)(657,2084)(658,2083)(659,2082)(660,2081)(661,2080)(662,2079)(663,2078)(664,2077)(665,2076)(666,2075)(667,2074)(668,2073)(669,2072)(670,2071)(671,2070)(672,2069)(673,2068)(674,2067)(675,2066)(676,2065)(677,2064)(678,2063)(679,2062)(680,2061)(681,2060)(682,2059)(683,2058)(684,2057)(685,2056)(686,2055)(687,2054)(688,2053)(689,2052)(690,2051)(691,2050)(692,2049)(693,2048)(694,2047)(695,2046)(696,2045)(697,2044)(698,2043)(699,2042)(700,2041)(701,2040)(702,2039)(703,2038)(704,2037)(705,2036)(706,2035)(707,2034)(708,2033)(709,2032)(710,2031)(711,2030)(712,2029)(713,2028)(714,2027)(715,2026)(716,2025)(717,2024)(718,2023)(719,2022)(720,2021)(721,2020)(722,2019)(723,2018)(724,2017)(725,2016)(726,2015)(727,2014)(728,2013)(729,2012)(730,2011)(731,2010)(732,2009)(733,2008)(734,2007)(735,2006)(736,2005)(737,2004)(738,2003)(739,2002)(740,2001)(741,2000)(742,1999)(743,1998)(744,1997)(745,1996)(746,1995)(747,1994)(748,1993)(749,1992)(750,1991)(751,1990)(752,1989)(753,1988)(754,1987)(755,1986)(756,1985)(757,1984)(758,1983)(759,1982)(760,1981)(761,1980)(762,1979)(763,1978)(764,1977)(765,1976)(766,1975)(767,1974)(768,1973)(769,1972)(770,1971)(771,1970)(772,1969)(773,1968)(774,1967)(775,1966)(776,1965)(777,1964)(778,1963)(779,1962)(780,1961)(781,1960)(782,1959)(783,1958)(784,1957)(785,1956)(786,1955)(787,1954)(788,1953)(789,1952)(790,1951)(791,1950)(792,1949)(793,1948)(794,1947)(795,1946)(796,1945)(797,1944)(798,1943)(799,1942)(800,1941)(801,1940)(802,1939)(803,1938)(804,1937)(805,1936)(806,1935)(807,1934)(808,1933)(809,1932)(810,1931)(811,1930)(812,1929)(813,1928)(814,1927)(815,1926)(816,1925)(817,1924)(818,1923)(819,1922)(820,1921)(821,1920)(822,1919)(823,1918)(824,1917)(825,1916)(826,1915)(827,1914)(828,1913)(829,1912)(830,1911)(831,1910)(832,1909)(833,1908)(834,1907)(835,1906)(836,1905)(837,1904)(838,1903)(839,1902)(840,1901)(841,1900)(842,1899)(843,1898)(844,1897)(845,1896)(846,1895)(847,1894)(848,1893)(849,1892)(850,1891)(851,1890)(852,1889)(853,1888)(854,1887)(855,1886)(856,1885)(857,1884)(858,1883)(859,1882)(860,1881)(861,1880)(862,1879)(863,1878)(864,1877)(865,1876)(866,1875)(867,1874)(868,1873)(869,1872)(870,1871)(871,1870)(872,1869)(873,1868)(874,1867)(875,1866)(876,1865)(877,1864)(878,1863)(879,1862)(880,1861)(881,1860)(882,1859)(883,1858)(884,1857)(885,1856)(886,1855)(887,1854)(888,1853)(889,1852)(890,1851)(891,1850)(892,1849)(893,1848)(894,1847)(895,1846)(896,1845)(897,1844)(898,1843)(899,1842)(900,1841)(901,1840)(902,1839)(903,1838)(904,1837)(905,1836)(906,1835)(907,1834)(908,1833)(909,1832)(910,1831)(911,1830)(912,1829)(913,1828)(914,1827)(915,1826)(916,1825)(917,1824)(918,1823)(919,1822)(920,1821)(921,1820)(922,1819)(923,1818)(924,1817)(925,1816)(926,1815)(927,1814)(928,1813)(929,1812)(930,1811)(931,1810)(932,1809)(933,1808)(934,1807)(935,1806)(936,1805)(937,1804)(938,1803)(939,1802)(940,1801)(941,1800)(942,1799)(943,1798)(944,1797)(945,1796)(946,1795)(947,1794)(948,1793)(949,1792)(950,1791)(951,1790)(952,1789)(953,1788)(954,1787)(955,1786)(956,1785)(957,1784)(958,1783)(959,1782)(960,1781)(961,1780)(962,1779)(963,1778)(964,1777)(965,1776)(966,1775)(967,1774)(968,1773)(969,1772)(970,1771)(971,1770)(972,1769)(973,1768)(974,1767)(975,1766)(976,1765)(977,1764)(978,1763)(979,1762)(980,1761)(981,1760)(982,1759)(983,1758)(984,1757)(985,1756)(986,1755)(987,1754)(988,1753)(989,1752)(990,1751)(991,1750)(992,1749)(993,1748)(994,1747)(995,1746)(996,1745)(997,1744)(998,1743)(999,1742)(1000,1741)(1001,1740)(1002,1739)(1003,1738)(1004,1737)(1005,1736)(1006,1735)(1007,1734)(1008,1733)(1009,1732)(1010,1731)(1011,1730)(1012,1729)(1013,1728)(1014,1727)(1015,1726)(1016,1725)(1017,1724)(1018,1723)(1019,1722)(1020,1721)(1021,1720)(1022,1719)(1023,1718)(1024,1717)(1025,1716)(1026,1715)(1027,1714)(1028,1713)(1029,1712)(1030,1711)(1031,1710)(1032,1709)(1033,1708)(1034,1707)(1035,1706)(1036,1705)(1037,1704)(1038,1703)(1039,1702)(1040,1701)(1041,1700)(1042,1699)(1043,1698)(1044,1697)(1045,1696)(1046,1695)(1047,1694)(1048,1693)(1049,1692)(1050,1691)(1051,1690)(1052,1689)(1053,1688)(1054,1687)(1055,1686)(1056,1685)(1057,1684)(1058,1683)(1059,1682)(1060,1681)(1061,1680)(1062,1679)(1063,1678)(1064,1677)(1065,1676)(1066,1675)(1067,1674)(1068,1673)(1069,1672)(1070,1671)(1071,1670)(1072,1669)(1073,1668)(1074,1667)(1075,1666)(1076,1665)(1077,1664)(1078,1663)(1079,1662)(1080,1661)(1081,1660)(1082,1659)(1083,1658)(1084,1657)(1085,1656)(1086,1655)(1087,1654)(1088,1653)(1089,1652)(1090,1651)(1091,1650)(1092,1649)(1093,1648)(1094,1647)(1095,1646)(1096,1645)(1097,1644)(1098,1643)(1099,1642)(1100,1641)(1101,1640)(1102,1639)(1103,1638)(1104,1637)(1105,1636)(1106,1635)(1107,1634)(1108,1633)(1109,1632)(1110,1631)(1111,1630)(1112,1629)(1113,1628)(1114,1627)(1115,1626)(1116,1625)(1117,1624)(1118,1623)(1119,1622)(1120,1621)(1121,1620)(1122,1619)(1123,1618)(1124,1617)(1125,1616)(1126,1615)(1127,1614)(1128,1613)(1129,1612)(1130,1611)(1131,1610)(1132,1609)(1133,1608)(1134,1607)(1135,1606)(1136,1605)(1137,1604)(1138,1603)(1139,1602)(1140,1601)(1141,1600)(1142,1599)(1143,1598)(1144,1597)(1145,1596)(1146,1595)(1147,1594)(1148,1593)(1149,1592)(1150,1591)(1151,1590)(1152,1589)(1153,1588)(1154,1587)(1155,1586)(1156,1585)(1157,1584)(1158,1583)(1159,1582)(1160,1581)(1161,1580)(1162,1579)(1163,1578)(1164,1577)(1165,1576)(1166,1575)(1167,1574)(1168,1573)(1169,1572)(1170,1571)(1171,1570)(1172,1569)(1173,1568)(1174,1567)(1175,1566)(1176,1565)(1177,1564)(1178,1563)(1179,1562)(1180,1561)(1181,1560)(1182,1559)(1183,1558)(1184,1557)(1185,1556)(1186,1555)(1187,1554)(1188,1553)(1189,1552)(1190,1551)(1191,1550)(1192,1549)(1193,1548)(1194,1547)(1195,1546)(1196,1545)(1197,1544)(1198,1543)(1199,1542)(1200,1541)(1201,1540)(1202,1539)(1203,1538)(1204,1537)(1205,1536)(1206,1535)(1207,1534)(1208,1533)(1209,1532)(1210,1531)(1211,1530)(1212,1529)(1213,1528)(1214,1527)(1215,1526)(1216,1525)(1217,1524)(1218,1523)(1219,1522)(1220,1521)(1221,1520)(1222,1519)(1223,1518)(1224,1517)(1225,1516)(1226,1515)(1227,1514)(1228,1513)(1229,1512)(1230,1511)(1231,1510)(1232,1509)(1233,1508)(1234,1507)(1235,1506)(1236,1505)(1237,1504)(1238,1503)(1239,1502)(1240,1501)(1241,1500)(1242,1499)(1243,1498)(1244,1497)(1245,1496)(1246,1495)(1247,1494)(1248,1493)(1249,1492)(1250,1491)(1251,1490)(1252,1489)(1253,1488)(1254,1487)(1255,1486)(1256,1485)(1257,1484)(1258,1483)(1259,1482)(1260,1481)(1261,1480)(1262,1479)(1263,1478)(1264,1477)(1265,1476)(1266,1475)(1267,1474)(1268,1473)(1269,1472)(1270,1471)(1271,1470)(1272,1469)(1273,1468)(1274,1467)(1275,1466)(1276,1465)(1277,1464)(1278,1463)(1279,1462)(1280,1461)(1281,1460)(1282,1459)(1283,1458)(1284,1457)(1285,1456)(1286,1455)(1287,1454)(1288,1453)(1289,1452)(1290,1451)(1291,1450)(1292,1449)(1293,1448)(1294,1447)(1295,1446)(1296,1445)(1297,1444)(1298,1443)(1299,1442)(1300,1441)(1301,1440)(1302,1439)(1303,1438)(1304,1437)(1305,1436)(1306,1435)(1307,1434)(1308,1433)(1309,1432)(1310,1431)(1311,1430)(1312,1429)(1313,1428)(1314,1427)(1315,1426)(1316,1425)(1317,1424)(1318,1423)(1319,1422)(1320,1421)(1321,1420)(1322,1419)(1323,1418)(1324,1417)(1325,1416)(1326,1415)(1327,1414)(1328,1413)(1329,1412)(1330,1411)(1331,1410)(1332,1409)(1333,1408)(1334,1407)(1335,1406)(1336,1405)(1337,1404)(1338,1403)(1339,1402)(1340,1401)(1341,1400)(1342,1399)(1343,1398)(1344,1397)(1345,1396)(1346,1395)(1347,1394)(1348,1393)(1349,1392)(1350,1391)(1351,1390)(1352,1389)(1353,1388)(1354,1387)(1355,1386)(1356,1385)(1357,1384)(1358,1383)(1359,1382)(1360,1381)(1361,1380)(1362,1379)(1363,1378)(1364,1377)(1365,1376)(1366,1375)(1367,1374)(1368,1373)(1369,1372)(1370,1371)
Conjugacy classes & character table
8190 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32748, 12);
Finite Group Databasebeta