← Prev (#43245753) Next (#43245755) →
Aliases
Splittings
Subgroups
20 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 2356 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);(4,5)(7,2356)(8,2355)(9,2354)(10,2353)(11,2352)(12,2351)(13,2350)(14,2349)(15,2348)(16,2347)(17,2346)(18,2345)(19,2344)(20,2343)(21,2342)(22,2341)(23,2340)(24,2339)(25,2338)(26,2337)(27,2336)(28,2335)(29,2334)(30,2333)(31,2332)(32,2331)(33,2330)(34,2329)(35,2328)(36,2327)(37,2326)(38,2325)(39,2324)(40,2323)(41,2322)(42,2321)(43,2320)(44,2319)(45,2318)(46,2317)(47,2316)(48,2315)(49,2314)(50,2313)(51,2312)(52,2311)(53,2310)(54,2309)(55,2308)(56,2307)(57,2306)(58,2305)(59,2304)(60,2303)(61,2302)(62,2301)(63,2300)(64,2299)(65,2298)(66,2297)(67,2296)(68,2295)(69,2294)(70,2293)(71,2292)(72,2291)(73,2290)(74,2289)(75,2288)(76,2287)(77,2286)(78,2285)(79,2284)(80,2283)(81,2282)(82,2281)(83,2280)(84,2279)(85,2278)(86,2277)(87,2276)(88,2275)(89,2274)(90,2273)(91,2272)(92,2271)(93,2270)(94,2269)(95,2268)(96,2267)(97,2266)(98,2265)(99,2264)(100,2263)(101,2262)(102,2261)(103,2260)(104,2259)(105,2258)(106,2257)(107,2256)(108,2255)(109,2254)(110,2253)(111,2252)(112,2251)(113,2250)(114,2249)(115,2248)(116,2247)(117,2246)(118,2245)(119,2244)(120,2243)(121,2242)(122,2241)(123,2240)(124,2239)(125,2238)(126,2237)(127,2236)(128,2235)(129,2234)(130,2233)(131,2232)(132,2231)(133,2230)(134,2229)(135,2228)(136,2227)(137,2226)(138,2225)(139,2224)(140,2223)(141,2222)(142,2221)(143,2220)(144,2219)(145,2218)(146,2217)(147,2216)(148,2215)(149,2214)(150,2213)(151,2212)(152,2211)(153,2210)(154,2209)(155,2208)(156,2207)(157,2206)(158,2205)(159,2204)(160,2203)(161,2202)(162,2201)(163,2200)(164,2199)(165,2198)(166,2197)(167,2196)(168,2195)(169,2194)(170,2193)(171,2192)(172,2191)(173,2190)(174,2189)(175,2188)(176,2187)(177,2186)(178,2185)(179,2184)(180,2183)(181,2182)(182,2181)(183,2180)(184,2179)(185,2178)(186,2177)(187,2176)(188,2175)(189,2174)(190,2173)(191,2172)(192,2171)(193,2170)(194,2169)(195,2168)(196,2167)(197,2166)(198,2165)(199,2164)(200,2163)(201,2162)(202,2161)(203,2160)(204,2159)(205,2158)(206,2157)(207,2156)(208,2155)(209,2154)(210,2153)(211,2152)(212,2151)(213,2150)(214,2149)(215,2148)(216,2147)(217,2146)(218,2145)(219,2144)(220,2143)(221,2142)(222,2141)(223,2140)(224,2139)(225,2138)(226,2137)(227,2136)(228,2135)(229,2134)(230,2133)(231,2132)(232,2131)(233,2130)(234,2129)(235,2128)(236,2127)(237,2126)(238,2125)(239,2124)(240,2123)(241,2122)(242,2121)(243,2120)(244,2119)(245,2118)(246,2117)(247,2116)(248,2115)(249,2114)(250,2113)(251,2112)(252,2111)(253,2110)(254,2109)(255,2108)(256,2107)(257,2106)(258,2105)(259,2104)(260,2103)(261,2102)(262,2101)(263,2100)(264,2099)(265,2098)(266,2097)(267,2096)(268,2095)(269,2094)(270,2093)(271,2092)(272,2091)(273,2090)(274,2089)(275,2088)(276,2087)(277,2086)(278,2085)(279,2084)(280,2083)(281,2082)(282,2081)(283,2080)(284,2079)(285,2078)(286,2077)(287,2076)(288,2075)(289,2074)(290,2073)(291,2072)(292,2071)(293,2070)(294,2069)(295,2068)(296,2067)(297,2066)(298,2065)(299,2064)(300,2063)(301,2062)(302,2061)(303,2060)(304,2059)(305,2058)(306,2057)(307,2056)(308,2055)(309,2054)(310,2053)(311,2052)(312,2051)(313,2050)(314,2049)(315,2048)(316,2047)(317,2046)(318,2045)(319,2044)(320,2043)(321,2042)(322,2041)(323,2040)(324,2039)(325,2038)(326,2037)(327,2036)(328,2035)(329,2034)(330,2033)(331,2032)(332,2031)(333,2030)(334,2029)(335,2028)(336,2027)(337,2026)(338,2025)(339,2024)(340,2023)(341,2022)(342,2021)(343,2020)(344,2019)(345,2018)(346,2017)(347,2016)(348,2015)(349,2014)(350,2013)(351,2012)(352,2011)(353,2010)(354,2009)(355,2008)(356,2007)(357,2006)(358,2005)(359,2004)(360,2003)(361,2002)(362,2001)(363,2000)(364,1999)(365,1998)(366,1997)(367,1996)(368,1995)(369,1994)(370,1993)(371,1992)(372,1991)(373,1990)(374,1989)(375,1988)(376,1987)(377,1986)(378,1985)(379,1984)(380,1983)(381,1982)(382,1981)(383,1980)(384,1979)(385,1978)(386,1977)(387,1976)(388,1975)(389,1974)(390,1973)(391,1972)(392,1971)(393,1970)(394,1969)(395,1968)(396,1967)(397,1966)(398,1965)(399,1964)(400,1963)(401,1962)(402,1961)(403,1960)(404,1959)(405,1958)(406,1957)(407,1956)(408,1955)(409,1954)(410,1953)(411,1952)(412,1951)(413,1950)(414,1949)(415,1948)(416,1947)(417,1946)(418,1945)(419,1944)(420,1943)(421,1942)(422,1941)(423,1940)(424,1939)(425,1938)(426,1937)(427,1936)(428,1935)(429,1934)(430,1933)(431,1932)(432,1931)(433,1930)(434,1929)(435,1928)(436,1927)(437,1926)(438,1925)(439,1924)(440,1923)(441,1922)(442,1921)(443,1920)(444,1919)(445,1918)(446,1917)(447,1916)(448,1915)(449,1914)(450,1913)(451,1912)(452,1911)(453,1910)(454,1909)(455,1908)(456,1907)(457,1906)(458,1905)(459,1904)(460,1903)(461,1902)(462,1901)(463,1900)(464,1899)(465,1898)(466,1897)(467,1896)(468,1895)(469,1894)(470,1893)(471,1892)(472,1891)(473,1890)(474,1889)(475,1888)(476,1887)(477,1886)(478,1885)(479,1884)(480,1883)(481,1882)(482,1881)(483,1880)(484,1879)(485,1878)(486,1877)(487,1876)(488,1875)(489,1874)(490,1873)(491,1872)(492,1871)(493,1870)(494,1869)(495,1868)(496,1867)(497,1866)(498,1865)(499,1864)(500,1863)(501,1862)(502,1861)(503,1860)(504,1859)(505,1858)(506,1857)(507,1856)(508,1855)(509,1854)(510,1853)(511,1852)(512,1851)(513,1850)(514,1849)(515,1848)(516,1847)(517,1846)(518,1845)(519,1844)(520,1843)(521,1842)(522,1841)(523,1840)(524,1839)(525,1838)(526,1837)(527,1836)(528,1835)(529,1834)(530,1833)(531,1832)(532,1831)(533,1830)(534,1829)(535,1828)(536,1827)(537,1826)(538,1825)(539,1824)(540,1823)(541,1822)(542,1821)(543,1820)(544,1819)(545,1818)(546,1817)(547,1816)(548,1815)(549,1814)(550,1813)(551,1812)(552,1811)(553,1810)(554,1809)(555,1808)(556,1807)(557,1806)(558,1805)(559,1804)(560,1803)(561,1802)(562,1801)(563,1800)(564,1799)(565,1798)(566,1797)(567,1796)(568,1795)(569,1794)(570,1793)(571,1792)(572,1791)(573,1790)(574,1789)(575,1788)(576,1787)(577,1786)(578,1785)(579,1784)(580,1783)(581,1782)(582,1781)(583,1780)(584,1779)(585,1778)(586,1777)(587,1776)(588,1775)(589,1774)(590,1773)(591,1772)(592,1771)(593,1770)(594,1769)(595,1768)(596,1767)(597,1766)(598,1765)(599,1764)(600,1763)(601,1762)(602,1761)(603,1760)(604,1759)(605,1758)(606,1757)(607,1756)(608,1755)(609,1754)(610,1753)(611,1752)(612,1751)(613,1750)(614,1749)(615,1748)(616,1747)(617,1746)(618,1745)(619,1744)(620,1743)(621,1742)(622,1741)(623,1740)(624,1739)(625,1738)(626,1737)(627,1736)(628,1735)(629,1734)(630,1733)(631,1732)(632,1731)(633,1730)(634,1729)(635,1728)(636,1727)(637,1726)(638,1725)(639,1724)(640,1723)(641,1722)(642,1721)(643,1720)(644,1719)(645,1718)(646,1717)(647,1716)(648,1715)(649,1714)(650,1713)(651,1712)(652,1711)(653,1710)(654,1709)(655,1708)(656,1707)(657,1706)(658,1705)(659,1704)(660,1703)(661,1702)(662,1701)(663,1700)(664,1699)(665,1698)(666,1697)(667,1696)(668,1695)(669,1694)(670,1693)(671,1692)(672,1691)(673,1690)(674,1689)(675,1688)(676,1687)(677,1686)(678,1685)(679,1684)(680,1683)(681,1682)(682,1681)(683,1680)(684,1679)(685,1678)(686,1677)(687,1676)(688,1675)(689,1674)(690,1673)(691,1672)(692,1671)(693,1670)(694,1669)(695,1668)(696,1667)(697,1666)(698,1665)(699,1664)(700,1663)(701,1662)(702,1661)(703,1660)(704,1659)(705,1658)(706,1657)(707,1656)(708,1655)(709,1654)(710,1653)(711,1652)(712,1651)(713,1650)(714,1649)(715,1648)(716,1647)(717,1646)(718,1645)(719,1644)(720,1643)(721,1642)(722,1641)(723,1640)(724,1639)(725,1638)(726,1637)(727,1636)(728,1635)(729,1634)(730,1633)(731,1632)(732,1631)(733,1630)(734,1629)(735,1628)(736,1627)(737,1626)(738,1625)(739,1624)(740,1623)(741,1622)(742,1621)(743,1620)(744,1619)(745,1618)(746,1617)(747,1616)(748,1615)(749,1614)(750,1613)(751,1612)(752,1611)(753,1610)(754,1609)(755,1608)(756,1607)(757,1606)(758,1605)(759,1604)(760,1603)(761,1602)(762,1601)(763,1600)(764,1599)(765,1598)(766,1597)(767,1596)(768,1595)(769,1594)(770,1593)(771,1592)(772,1591)(773,1590)(774,1589)(775,1588)(776,1587)(777,1586)(778,1585)(779,1584)(780,1583)(781,1582)(782,1581)(783,1580)(784,1579)(785,1578)(786,1577)(787,1576)(788,1575)(789,1574)(790,1573)(791,1572)(792,1571)(793,1570)(794,1569)(795,1568)(796,1567)(797,1566)(798,1565)(799,1564)(800,1563)(801,1562)(802,1561)(803,1560)(804,1559)(805,1558)(806,1557)(807,1556)(808,1555)(809,1554)(810,1553)(811,1552)(812,1551)(813,1550)(814,1549)(815,1548)(816,1547)(817,1546)(818,1545)(819,1544)(820,1543)(821,1542)(822,1541)(823,1540)(824,1539)(825,1538)(826,1537)(827,1536)(828,1535)(829,1534)(830,1533)(831,1532)(832,1531)(833,1530)(834,1529)(835,1528)(836,1527)(837,1526)(838,1525)(839,1524)(840,1523)(841,1522)(842,1521)(843,1520)(844,1519)(845,1518)(846,1517)(847,1516)(848,1515)(849,1514)(850,1513)(851,1512)(852,1511)(853,1510)(854,1509)(855,1508)(856,1507)(857,1506)(858,1505)(859,1504)(860,1503)(861,1502)(862,1501)(863,1500)(864,1499)(865,1498)(866,1497)(867,1496)(868,1495)(869,1494)(870,1493)(871,1492)(872,1491)(873,1490)(874,1489)(875,1488)(876,1487)(877,1486)(878,1485)(879,1484)(880,1483)(881,1482)(882,1481)(883,1480)(884,1479)(885,1478)(886,1477)(887,1476)(888,1475)(889,1474)(890,1473)(891,1472)(892,1471)(893,1470)(894,1469)(895,1468)(896,1467)(897,1466)(898,1465)(899,1464)(900,1463)(901,1462)(902,1461)(903,1460)(904,1459)(905,1458)(906,1457)(907,1456)(908,1455)(909,1454)(910,1453)(911,1452)(912,1451)(913,1450)(914,1449)(915,1448)(916,1447)(917,1446)(918,1445)(919,1444)(920,1443)(921,1442)(922,1441)(923,1440)(924,1439)(925,1438)(926,1437)(927,1436)(928,1435)(929,1434)(930,1433)(931,1432)(932,1431)(933,1430)(934,1429)(935,1428)(936,1427)(937,1426)(938,1425)(939,1424)(940,1423)(941,1422)(942,1421)(943,1420)(944,1419)(945,1418)(946,1417)(947,1416)(948,1415)(949,1414)(950,1413)(951,1412)(952,1411)(953,1410)(954,1409)(955,1408)(956,1407)(957,1406)(958,1405)(959,1404)(960,1403)(961,1402)(962,1401)(963,1400)(964,1399)(965,1398)(966,1397)(967,1396)(968,1395)(969,1394)(970,1393)(971,1392)(972,1391)(973,1390)(974,1389)(975,1388)(976,1387)(977,1386)(978,1385)(979,1384)(980,1383)(981,1382)(982,1381)(983,1380)(984,1379)(985,1378)(986,1377)(987,1376)(988,1375)(989,1374)(990,1373)(991,1372)(992,1371)(993,1370)(994,1369)(995,1368)(996,1367)(997,1366)(998,1365)(999,1364)(1000,1363)(1001,1362)(1002,1361)(1003,1360)(1004,1359)(1005,1358)(1006,1357)(1007,1356)(1008,1355)(1009,1354)(1010,1353)(1011,1352)(1012,1351)(1013,1350)(1014,1349)(1015,1348)(1016,1347)(1017,1346)(1018,1345)(1019,1344)(1020,1343)(1021,1342)(1022,1341)(1023,1340)(1024,1339)(1025,1338)(1026,1337)(1027,1336)(1028,1335)(1029,1334)(1030,1333)(1031,1332)(1032,1331)(1033,1330)(1034,1329)(1035,1328)(1036,1327)(1037,1326)(1038,1325)(1039,1324)(1040,1323)(1041,1322)(1042,1321)(1043,1320)(1044,1319)(1045,1318)(1046,1317)(1047,1316)(1048,1315)(1049,1314)(1050,1313)(1051,1312)(1052,1311)(1053,1310)(1054,1309)(1055,1308)(1056,1307)(1057,1306)(1058,1305)(1059,1304)(1060,1303)(1061,1302)(1062,1301)(1063,1300)(1064,1299)(1065,1298)(1066,1297)(1067,1296)(1068,1295)(1069,1294)(1070,1293)(1071,1292)(1072,1291)(1073,1290)(1074,1289)(1075,1288)(1076,1287)(1077,1286)(1078,1285)(1079,1284)(1080,1283)(1081,1282)(1082,1281)(1083,1280)(1084,1279)(1085,1278)(1086,1277)(1087,1276)(1088,1275)(1089,1274)(1090,1273)(1091,1272)(1092,1271)(1093,1270)(1094,1269)(1095,1268)(1096,1267)(1097,1266)(1098,1265)(1099,1264)(1100,1263)(1101,1262)(1102,1261)(1103,1260)(1104,1259)(1105,1258)(1106,1257)(1107,1256)(1108,1255)(1109,1254)(1110,1253)(1111,1252)(1112,1251)(1113,1250)(1114,1249)(1115,1248)(1116,1247)(1117,1246)(1118,1245)(1119,1244)(1120,1243)(1121,1242)(1122,1241)(1123,1240)(1124,1239)(1125,1238)(1126,1237)(1127,1236)(1128,1235)(1129,1234)(1130,1233)(1131,1232)(1132,1231)(1133,1230)(1134,1229)(1135,1228)(1136,1227)(1137,1226)(1138,1225)(1139,1224)(1140,1223)(1141,1222)(1142,1221)(1143,1220)(1144,1219)(1145,1218)(1146,1217)(1147,1216)(1148,1215)(1149,1214)(1150,1213)(1151,1212)(1152,1211)(1153,1210)(1154,1209)(1155,1208)(1156,1207)(1157,1206)(1158,1205)(1159,1204)(1160,1203)(1161,1202)(1162,1201)(1163,1200)(1164,1199)(1165,1198)(1166,1197)(1167,1196)(1168,1195)(1169,1194)(1170,1193)(1171,1192)(1172,1191)(1173,1190)(1174,1189)(1175,1188)(1176,1187)(1177,1186)(1178,1185)(1179,1184)(1180,1183)(1181,1182)
Conjugacy classes & character table
7056 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(28212, 10);
Finite Group Databasebeta