← Prev (#45684646) Next (#45684648) →
Aliases
Splittings
Subgroups
20 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 2772 points:
(1,2)(3,4,5)(6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2070,2071,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,2180,2181,2182,2183,2184,2185,2186,2187,2188,2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,2217,2218,2219,2220,2221,2222,2223,2224,2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2236,2237,2238,2239,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,2253,2254,2255,2256,2257,2258,2259,2260,2261,2262,2263,2264,2265,2266,2267,2268,2269,2270,2271,2272,2273,2274,2275,2276,2277,2278,2279,2280,2281,2282,2283,2284,2285,2286,2287,2288,2289,2290,2291,2292,2293,2294,2295,2296,2297,2298,2299,2300,2301,2302,2303,2304,2305,2306,2307,2308,2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,2320,2321,2322,2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,2333,2334,2335,2336,2337,2338,2339,2340,2341,2342,2343,2344,2345,2346,2347,2348,2349,2350,2351,2352,2353,2354,2355,2356,2357,2358,2359,2360,2361,2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,2372,2373,2374,2375,2376,2377,2378,2379,2380,2381,2382,2383,2384,2385,2386,2387,2388,2389,2390,2391,2392,2393,2394,2395,2396,2397,2398,2399,2400,2401,2402,2403,2404,2405,2406,2407,2408,2409,2410,2411,2412,2413,2414,2415,2416,2417,2418,2419,2420,2421,2422,2423,2424,2425,2426,2427,2428,2429,2430,2431,2432,2433,2434,2435,2436,2437,2438,2439,2440,2441,2442,2443,2444,2445,2446,2447,2448,2449,2450,2451,2452,2453,2454,2455,2456,2457,2458,2459,2460,2461,2462,2463,2464,2465,2466,2467,2468,2469,2470,2471,2472,2473,2474,2475,2476,2477,2478,2479,2480,2481,2482,2483,2484,2485,2486,2487,2488,2489,2490,2491,2492,2493,2494,2495,2496,2497,2498,2499,2500,2501,2502,2503,2504,2505,2506,2507,2508,2509,2510,2511,2512,2513,2514,2515,2516,2517,2518,2519,2520,2521,2522,2523,2524,2525,2526,2527,2528,2529,2530,2531,2532,2533,2534,2535,2536,2537,2538,2539,2540,2541,2542,2543,2544,2545,2546,2547,2548,2549,2550,2551,2552,2553,2554,2555,2556,2557,2558,2559,2560,2561,2562,2563,2564,2565,2566,2567,2568,2569,2570,2571,2572,2573,2574,2575,2576,2577,2578,2579,2580,2581,2582,2583,2584,2585,2586,2587,2588,2589,2590,2591,2592,2593,2594,2595,2596,2597,2598,2599,2600,2601,2602,2603,2604,2605,2606,2607,2608,2609,2610,2611,2612,2613,2614,2615,2616,2617,2618,2619,2620,2621,2622,2623,2624,2625,2626,2627,2628,2629,2630,2631,2632,2633,2634,2635,2636,2637,2638,2639,2640,2641,2642,2643,2644,2645,2646,2647,2648,2649,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,2662,2663,2664,2665,2666,2667,2668,2669,2670,2671,2672,2673,2674,2675,2676,2677,2678,2679,2680,2681,2682,2683,2684,2685,2686,2687,2688,2689,2690,2691,2692,2693,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,2705,2706,2707,2708,2709,2710,2711,2712,2713,2714,2715,2716,2717,2718,2719,2720,2721,2722,2723,2724,2725,2726,2727,2728,2729,2730,2731,2732,2733,2734,2735,2736,2737,2738,2739,2740,2741,2742,2743,2744,2745,2746,2747,2748,2749,2750,2751,2752,2753,2754,2755,2756,2757,2758,2759,2760,2761,2762,2763,2764,2765,2766,2767,2768,2769,2770,2771,2772);(4,5)(7,2772)(8,2771)(9,2770)(10,2769)(11,2768)(12,2767)(13,2766)(14,2765)(15,2764)(16,2763)(17,2762)(18,2761)(19,2760)(20,2759)(21,2758)(22,2757)(23,2756)(24,2755)(25,2754)(26,2753)(27,2752)(28,2751)(29,2750)(30,2749)(31,2748)(32,2747)(33,2746)(34,2745)(35,2744)(36,2743)(37,2742)(38,2741)(39,2740)(40,2739)(41,2738)(42,2737)(43,2736)(44,2735)(45,2734)(46,2733)(47,2732)(48,2731)(49,2730)(50,2729)(51,2728)(52,2727)(53,2726)(54,2725)(55,2724)(56,2723)(57,2722)(58,2721)(59,2720)(60,2719)(61,2718)(62,2717)(63,2716)(64,2715)(65,2714)(66,2713)(67,2712)(68,2711)(69,2710)(70,2709)(71,2708)(72,2707)(73,2706)(74,2705)(75,2704)(76,2703)(77,2702)(78,2701)(79,2700)(80,2699)(81,2698)(82,2697)(83,2696)(84,2695)(85,2694)(86,2693)(87,2692)(88,2691)(89,2690)(90,2689)(91,2688)(92,2687)(93,2686)(94,2685)(95,2684)(96,2683)(97,2682)(98,2681)(99,2680)(100,2679)(101,2678)(102,2677)(103,2676)(104,2675)(105,2674)(106,2673)(107,2672)(108,2671)(109,2670)(110,2669)(111,2668)(112,2667)(113,2666)(114,2665)(115,2664)(116,2663)(117,2662)(118,2661)(119,2660)(120,2659)(121,2658)(122,2657)(123,2656)(124,2655)(125,2654)(126,2653)(127,2652)(128,2651)(129,2650)(130,2649)(131,2648)(132,2647)(133,2646)(134,2645)(135,2644)(136,2643)(137,2642)(138,2641)(139,2640)(140,2639)(141,2638)(142,2637)(143,2636)(144,2635)(145,2634)(146,2633)(147,2632)(148,2631)(149,2630)(150,2629)(151,2628)(152,2627)(153,2626)(154,2625)(155,2624)(156,2623)(157,2622)(158,2621)(159,2620)(160,2619)(161,2618)(162,2617)(163,2616)(164,2615)(165,2614)(166,2613)(167,2612)(168,2611)(169,2610)(170,2609)(171,2608)(172,2607)(173,2606)(174,2605)(175,2604)(176,2603)(177,2602)(178,2601)(179,2600)(180,2599)(181,2598)(182,2597)(183,2596)(184,2595)(185,2594)(186,2593)(187,2592)(188,2591)(189,2590)(190,2589)(191,2588)(192,2587)(193,2586)(194,2585)(195,2584)(196,2583)(197,2582)(198,2581)(199,2580)(200,2579)(201,2578)(202,2577)(203,2576)(204,2575)(205,2574)(206,2573)(207,2572)(208,2571)(209,2570)(210,2569)(211,2568)(212,2567)(213,2566)(214,2565)(215,2564)(216,2563)(217,2562)(218,2561)(219,2560)(220,2559)(221,2558)(222,2557)(223,2556)(224,2555)(225,2554)(226,2553)(227,2552)(228,2551)(229,2550)(230,2549)(231,2548)(232,2547)(233,2546)(234,2545)(235,2544)(236,2543)(237,2542)(238,2541)(239,2540)(240,2539)(241,2538)(242,2537)(243,2536)(244,2535)(245,2534)(246,2533)(247,2532)(248,2531)(249,2530)(250,2529)(251,2528)(252,2527)(253,2526)(254,2525)(255,2524)(256,2523)(257,2522)(258,2521)(259,2520)(260,2519)(261,2518)(262,2517)(263,2516)(264,2515)(265,2514)(266,2513)(267,2512)(268,2511)(269,2510)(270,2509)(271,2508)(272,2507)(273,2506)(274,2505)(275,2504)(276,2503)(277,2502)(278,2501)(279,2500)(280,2499)(281,2498)(282,2497)(283,2496)(284,2495)(285,2494)(286,2493)(287,2492)(288,2491)(289,2490)(290,2489)(291,2488)(292,2487)(293,2486)(294,2485)(295,2484)(296,2483)(297,2482)(298,2481)(299,2480)(300,2479)(301,2478)(302,2477)(303,2476)(304,2475)(305,2474)(306,2473)(307,2472)(308,2471)(309,2470)(310,2469)(311,2468)(312,2467)(313,2466)(314,2465)(315,2464)(316,2463)(317,2462)(318,2461)(319,2460)(320,2459)(321,2458)(322,2457)(323,2456)(324,2455)(325,2454)(326,2453)(327,2452)(328,2451)(329,2450)(330,2449)(331,2448)(332,2447)(333,2446)(334,2445)(335,2444)(336,2443)(337,2442)(338,2441)(339,2440)(340,2439)(341,2438)(342,2437)(343,2436)(344,2435)(345,2434)(346,2433)(347,2432)(348,2431)(349,2430)(350,2429)(351,2428)(352,2427)(353,2426)(354,2425)(355,2424)(356,2423)(357,2422)(358,2421)(359,2420)(360,2419)(361,2418)(362,2417)(363,2416)(364,2415)(365,2414)(366,2413)(367,2412)(368,2411)(369,2410)(370,2409)(371,2408)(372,2407)(373,2406)(374,2405)(375,2404)(376,2403)(377,2402)(378,2401)(379,2400)(380,2399)(381,2398)(382,2397)(383,2396)(384,2395)(385,2394)(386,2393)(387,2392)(388,2391)(389,2390)(390,2389)(391,2388)(392,2387)(393,2386)(394,2385)(395,2384)(396,2383)(397,2382)(398,2381)(399,2380)(400,2379)(401,2378)(402,2377)(403,2376)(404,2375)(405,2374)(406,2373)(407,2372)(408,2371)(409,2370)(410,2369)(411,2368)(412,2367)(413,2366)(414,2365)(415,2364)(416,2363)(417,2362)(418,2361)(419,2360)(420,2359)(421,2358)(422,2357)(423,2356)(424,2355)(425,2354)(426,2353)(427,2352)(428,2351)(429,2350)(430,2349)(431,2348)(432,2347)(433,2346)(434,2345)(435,2344)(436,2343)(437,2342)(438,2341)(439,2340)(440,2339)(441,2338)(442,2337)(443,2336)(444,2335)(445,2334)(446,2333)(447,2332)(448,2331)(449,2330)(450,2329)(451,2328)(452,2327)(453,2326)(454,2325)(455,2324)(456,2323)(457,2322)(458,2321)(459,2320)(460,2319)(461,2318)(462,2317)(463,2316)(464,2315)(465,2314)(466,2313)(467,2312)(468,2311)(469,2310)(470,2309)(471,2308)(472,2307)(473,2306)(474,2305)(475,2304)(476,2303)(477,2302)(478,2301)(479,2300)(480,2299)(481,2298)(482,2297)(483,2296)(484,2295)(485,2294)(486,2293)(487,2292)(488,2291)(489,2290)(490,2289)(491,2288)(492,2287)(493,2286)(494,2285)(495,2284)(496,2283)(497,2282)(498,2281)(499,2280)(500,2279)(501,2278)(502,2277)(503,2276)(504,2275)(505,2274)(506,2273)(507,2272)(508,2271)(509,2270)(510,2269)(511,2268)(512,2267)(513,2266)(514,2265)(515,2264)(516,2263)(517,2262)(518,2261)(519,2260)(520,2259)(521,2258)(522,2257)(523,2256)(524,2255)(525,2254)(526,2253)(527,2252)(528,2251)(529,2250)(530,2249)(531,2248)(532,2247)(533,2246)(534,2245)(535,2244)(536,2243)(537,2242)(538,2241)(539,2240)(540,2239)(541,2238)(542,2237)(543,2236)(544,2235)(545,2234)(546,2233)(547,2232)(548,2231)(549,2230)(550,2229)(551,2228)(552,2227)(553,2226)(554,2225)(555,2224)(556,2223)(557,2222)(558,2221)(559,2220)(560,2219)(561,2218)(562,2217)(563,2216)(564,2215)(565,2214)(566,2213)(567,2212)(568,2211)(569,2210)(570,2209)(571,2208)(572,2207)(573,2206)(574,2205)(575,2204)(576,2203)(577,2202)(578,2201)(579,2200)(580,2199)(581,2198)(582,2197)(583,2196)(584,2195)(585,2194)(586,2193)(587,2192)(588,2191)(589,2190)(590,2189)(591,2188)(592,2187)(593,2186)(594,2185)(595,2184)(596,2183)(597,2182)(598,2181)(599,2180)(600,2179)(601,2178)(602,2177)(603,2176)(604,2175)(605,2174)(606,2173)(607,2172)(608,2171)(609,2170)(610,2169)(611,2168)(612,2167)(613,2166)(614,2165)(615,2164)(616,2163)(617,2162)(618,2161)(619,2160)(620,2159)(621,2158)(622,2157)(623,2156)(624,2155)(625,2154)(626,2153)(627,2152)(628,2151)(629,2150)(630,2149)(631,2148)(632,2147)(633,2146)(634,2145)(635,2144)(636,2143)(637,2142)(638,2141)(639,2140)(640,2139)(641,2138)(642,2137)(643,2136)(644,2135)(645,2134)(646,2133)(647,2132)(648,2131)(649,2130)(650,2129)(651,2128)(652,2127)(653,2126)(654,2125)(655,2124)(656,2123)(657,2122)(658,2121)(659,2120)(660,2119)(661,2118)(662,2117)(663,2116)(664,2115)(665,2114)(666,2113)(667,2112)(668,2111)(669,2110)(670,2109)(671,2108)(672,2107)(673,2106)(674,2105)(675,2104)(676,2103)(677,2102)(678,2101)(679,2100)(680,2099)(681,2098)(682,2097)(683,2096)(684,2095)(685,2094)(686,2093)(687,2092)(688,2091)(689,2090)(690,2089)(691,2088)(692,2087)(693,2086)(694,2085)(695,2084)(696,2083)(697,2082)(698,2081)(699,2080)(700,2079)(701,2078)(702,2077)(703,2076)(704,2075)(705,2074)(706,2073)(707,2072)(708,2071)(709,2070)(710,2069)(711,2068)(712,2067)(713,2066)(714,2065)(715,2064)(716,2063)(717,2062)(718,2061)(719,2060)(720,2059)(721,2058)(722,2057)(723,2056)(724,2055)(725,2054)(726,2053)(727,2052)(728,2051)(729,2050)(730,2049)(731,2048)(732,2047)(733,2046)(734,2045)(735,2044)(736,2043)(737,2042)(738,2041)(739,2040)(740,2039)(741,2038)(742,2037)(743,2036)(744,2035)(745,2034)(746,2033)(747,2032)(748,2031)(749,2030)(750,2029)(751,2028)(752,2027)(753,2026)(754,2025)(755,2024)(756,2023)(757,2022)(758,2021)(759,2020)(760,2019)(761,2018)(762,2017)(763,2016)(764,2015)(765,2014)(766,2013)(767,2012)(768,2011)(769,2010)(770,2009)(771,2008)(772,2007)(773,2006)(774,2005)(775,2004)(776,2003)(777,2002)(778,2001)(779,2000)(780,1999)(781,1998)(782,1997)(783,1996)(784,1995)(785,1994)(786,1993)(787,1992)(788,1991)(789,1990)(790,1989)(791,1988)(792,1987)(793,1986)(794,1985)(795,1984)(796,1983)(797,1982)(798,1981)(799,1980)(800,1979)(801,1978)(802,1977)(803,1976)(804,1975)(805,1974)(806,1973)(807,1972)(808,1971)(809,1970)(810,1969)(811,1968)(812,1967)(813,1966)(814,1965)(815,1964)(816,1963)(817,1962)(818,1961)(819,1960)(820,1959)(821,1958)(822,1957)(823,1956)(824,1955)(825,1954)(826,1953)(827,1952)(828,1951)(829,1950)(830,1949)(831,1948)(832,1947)(833,1946)(834,1945)(835,1944)(836,1943)(837,1942)(838,1941)(839,1940)(840,1939)(841,1938)(842,1937)(843,1936)(844,1935)(845,1934)(846,1933)(847,1932)(848,1931)(849,1930)(850,1929)(851,1928)(852,1927)(853,1926)(854,1925)(855,1924)(856,1923)(857,1922)(858,1921)(859,1920)(860,1919)(861,1918)(862,1917)(863,1916)(864,1915)(865,1914)(866,1913)(867,1912)(868,1911)(869,1910)(870,1909)(871,1908)(872,1907)(873,1906)(874,1905)(875,1904)(876,1903)(877,1902)(878,1901)(879,1900)(880,1899)(881,1898)(882,1897)(883,1896)(884,1895)(885,1894)(886,1893)(887,1892)(888,1891)(889,1890)(890,1889)(891,1888)(892,1887)(893,1886)(894,1885)(895,1884)(896,1883)(897,1882)(898,1881)(899,1880)(900,1879)(901,1878)(902,1877)(903,1876)(904,1875)(905,1874)(906,1873)(907,1872)(908,1871)(909,1870)(910,1869)(911,1868)(912,1867)(913,1866)(914,1865)(915,1864)(916,1863)(917,1862)(918,1861)(919,1860)(920,1859)(921,1858)(922,1857)(923,1856)(924,1855)(925,1854)(926,1853)(927,1852)(928,1851)(929,1850)(930,1849)(931,1848)(932,1847)(933,1846)(934,1845)(935,1844)(936,1843)(937,1842)(938,1841)(939,1840)(940,1839)(941,1838)(942,1837)(943,1836)(944,1835)(945,1834)(946,1833)(947,1832)(948,1831)(949,1830)(950,1829)(951,1828)(952,1827)(953,1826)(954,1825)(955,1824)(956,1823)(957,1822)(958,1821)(959,1820)(960,1819)(961,1818)(962,1817)(963,1816)(964,1815)(965,1814)(966,1813)(967,1812)(968,1811)(969,1810)(970,1809)(971,1808)(972,1807)(973,1806)(974,1805)(975,1804)(976,1803)(977,1802)(978,1801)(979,1800)(980,1799)(981,1798)(982,1797)(983,1796)(984,1795)(985,1794)(986,1793)(987,1792)(988,1791)(989,1790)(990,1789)(991,1788)(992,1787)(993,1786)(994,1785)(995,1784)(996,1783)(997,1782)(998,1781)(999,1780)(1000,1779)(1001,1778)(1002,1777)(1003,1776)(1004,1775)(1005,1774)(1006,1773)(1007,1772)(1008,1771)(1009,1770)(1010,1769)(1011,1768)(1012,1767)(1013,1766)(1014,1765)(1015,1764)(1016,1763)(1017,1762)(1018,1761)(1019,1760)(1020,1759)(1021,1758)(1022,1757)(1023,1756)(1024,1755)(1025,1754)(1026,1753)(1027,1752)(1028,1751)(1029,1750)(1030,1749)(1031,1748)(1032,1747)(1033,1746)(1034,1745)(1035,1744)(1036,1743)(1037,1742)(1038,1741)(1039,1740)(1040,1739)(1041,1738)(1042,1737)(1043,1736)(1044,1735)(1045,1734)(1046,1733)(1047,1732)(1048,1731)(1049,1730)(1050,1729)(1051,1728)(1052,1727)(1053,1726)(1054,1725)(1055,1724)(1056,1723)(1057,1722)(1058,1721)(1059,1720)(1060,1719)(1061,1718)(1062,1717)(1063,1716)(1064,1715)(1065,1714)(1066,1713)(1067,1712)(1068,1711)(1069,1710)(1070,1709)(1071,1708)(1072,1707)(1073,1706)(1074,1705)(1075,1704)(1076,1703)(1077,1702)(1078,1701)(1079,1700)(1080,1699)(1081,1698)(1082,1697)(1083,1696)(1084,1695)(1085,1694)(1086,1693)(1087,1692)(1088,1691)(1089,1690)(1090,1689)(1091,1688)(1092,1687)(1093,1686)(1094,1685)(1095,1684)(1096,1683)(1097,1682)(1098,1681)(1099,1680)(1100,1679)(1101,1678)(1102,1677)(1103,1676)(1104,1675)(1105,1674)(1106,1673)(1107,1672)(1108,1671)(1109,1670)(1110,1669)(1111,1668)(1112,1667)(1113,1666)(1114,1665)(1115,1664)(1116,1663)(1117,1662)(1118,1661)(1119,1660)(1120,1659)(1121,1658)(1122,1657)(1123,1656)(1124,1655)(1125,1654)(1126,1653)(1127,1652)(1128,1651)(1129,1650)(1130,1649)(1131,1648)(1132,1647)(1133,1646)(1134,1645)(1135,1644)(1136,1643)(1137,1642)(1138,1641)(1139,1640)(1140,1639)(1141,1638)(1142,1637)(1143,1636)(1144,1635)(1145,1634)(1146,1633)(1147,1632)(1148,1631)(1149,1630)(1150,1629)(1151,1628)(1152,1627)(1153,1626)(1154,1625)(1155,1624)(1156,1623)(1157,1622)(1158,1621)(1159,1620)(1160,1619)(1161,1618)(1162,1617)(1163,1616)(1164,1615)(1165,1614)(1166,1613)(1167,1612)(1168,1611)(1169,1610)(1170,1609)(1171,1608)(1172,1607)(1173,1606)(1174,1605)(1175,1604)(1176,1603)(1177,1602)(1178,1601)(1179,1600)(1180,1599)(1181,1598)(1182,1597)(1183,1596)(1184,1595)(1185,1594)(1186,1593)(1187,1592)(1188,1591)(1189,1590)(1190,1589)(1191,1588)(1192,1587)(1193,1586)(1194,1585)(1195,1584)(1196,1583)(1197,1582)(1198,1581)(1199,1580)(1200,1579)(1201,1578)(1202,1577)(1203,1576)(1204,1575)(1205,1574)(1206,1573)(1207,1572)(1208,1571)(1209,1570)(1210,1569)(1211,1568)(1212,1567)(1213,1566)(1214,1565)(1215,1564)(1216,1563)(1217,1562)(1218,1561)(1219,1560)(1220,1559)(1221,1558)(1222,1557)(1223,1556)(1224,1555)(1225,1554)(1226,1553)(1227,1552)(1228,1551)(1229,1550)(1230,1549)(1231,1548)(1232,1547)(1233,1546)(1234,1545)(1235,1544)(1236,1543)(1237,1542)(1238,1541)(1239,1540)(1240,1539)(1241,1538)(1242,1537)(1243,1536)(1244,1535)(1245,1534)(1246,1533)(1247,1532)(1248,1531)(1249,1530)(1250,1529)(1251,1528)(1252,1527)(1253,1526)(1254,1525)(1255,1524)(1256,1523)(1257,1522)(1258,1521)(1259,1520)(1260,1519)(1261,1518)(1262,1517)(1263,1516)(1264,1515)(1265,1514)(1266,1513)(1267,1512)(1268,1511)(1269,1510)(1270,1509)(1271,1508)(1272,1507)(1273,1506)(1274,1505)(1275,1504)(1276,1503)(1277,1502)(1278,1501)(1279,1500)(1280,1499)(1281,1498)(1282,1497)(1283,1496)(1284,1495)(1285,1494)(1286,1493)(1287,1492)(1288,1491)(1289,1490)(1290,1489)(1291,1488)(1292,1487)(1293,1486)(1294,1485)(1295,1484)(1296,1483)(1297,1482)(1298,1481)(1299,1480)(1300,1479)(1301,1478)(1302,1477)(1303,1476)(1304,1475)(1305,1474)(1306,1473)(1307,1472)(1308,1471)(1309,1470)(1310,1469)(1311,1468)(1312,1467)(1313,1466)(1314,1465)(1315,1464)(1316,1463)(1317,1462)(1318,1461)(1319,1460)(1320,1459)(1321,1458)(1322,1457)(1323,1456)(1324,1455)(1325,1454)(1326,1453)(1327,1452)(1328,1451)(1329,1450)(1330,1449)(1331,1448)(1332,1447)(1333,1446)(1334,1445)(1335,1444)(1336,1443)(1337,1442)(1338,1441)(1339,1440)(1340,1439)(1341,1438)(1342,1437)(1343,1436)(1344,1435)(1345,1434)(1346,1433)(1347,1432)(1348,1431)(1349,1430)(1350,1429)(1351,1428)(1352,1427)(1353,1426)(1354,1425)(1355,1424)(1356,1423)(1357,1422)(1358,1421)(1359,1420)(1360,1419)(1361,1418)(1362,1417)(1363,1416)(1364,1415)(1365,1414)(1366,1413)(1367,1412)(1368,1411)(1369,1410)(1370,1409)(1371,1408)(1372,1407)(1373,1406)(1374,1405)(1375,1404)(1376,1403)(1377,1402)(1378,1401)(1379,1400)(1380,1399)(1381,1398)(1382,1397)(1383,1396)(1384,1395)(1385,1394)(1386,1393)(1387,1392)(1388,1391)(1389,1390)
Conjugacy classes & character table
8304 conjugacy classes. The character table is too large to display.
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33204, 15);
Finite Group Databasebeta