← Prev (#41001790) Next (#41001792) →
Aliases
Splittings
Subgroups
20 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 2244 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);(4,5)(7,2244)(8,2243)(9,2242)(10,2241)(11,2240)(12,2239)(13,2238)(14,2237)(15,2236)(16,2235)(17,2234)(18,2233)(19,2232)(20,2231)(21,2230)(22,2229)(23,2228)(24,2227)(25,2226)(26,2225)(27,2224)(28,2223)(29,2222)(30,2221)(31,2220)(32,2219)(33,2218)(34,2217)(35,2216)(36,2215)(37,2214)(38,2213)(39,2212)(40,2211)(41,2210)(42,2209)(43,2208)(44,2207)(45,2206)(46,2205)(47,2204)(48,2203)(49,2202)(50,2201)(51,2200)(52,2199)(53,2198)(54,2197)(55,2196)(56,2195)(57,2194)(58,2193)(59,2192)(60,2191)(61,2190)(62,2189)(63,2188)(64,2187)(65,2186)(66,2185)(67,2184)(68,2183)(69,2182)(70,2181)(71,2180)(72,2179)(73,2178)(74,2177)(75,2176)(76,2175)(77,2174)(78,2173)(79,2172)(80,2171)(81,2170)(82,2169)(83,2168)(84,2167)(85,2166)(86,2165)(87,2164)(88,2163)(89,2162)(90,2161)(91,2160)(92,2159)(93,2158)(94,2157)(95,2156)(96,2155)(97,2154)(98,2153)(99,2152)(100,2151)(101,2150)(102,2149)(103,2148)(104,2147)(105,2146)(106,2145)(107,2144)(108,2143)(109,2142)(110,2141)(111,2140)(112,2139)(113,2138)(114,2137)(115,2136)(116,2135)(117,2134)(118,2133)(119,2132)(120,2131)(121,2130)(122,2129)(123,2128)(124,2127)(125,2126)(126,2125)(127,2124)(128,2123)(129,2122)(130,2121)(131,2120)(132,2119)(133,2118)(134,2117)(135,2116)(136,2115)(137,2114)(138,2113)(139,2112)(140,2111)(141,2110)(142,2109)(143,2108)(144,2107)(145,2106)(146,2105)(147,2104)(148,2103)(149,2102)(150,2101)(151,2100)(152,2099)(153,2098)(154,2097)(155,2096)(156,2095)(157,2094)(158,2093)(159,2092)(160,2091)(161,2090)(162,2089)(163,2088)(164,2087)(165,2086)(166,2085)(167,2084)(168,2083)(169,2082)(170,2081)(171,2080)(172,2079)(173,2078)(174,2077)(175,2076)(176,2075)(177,2074)(178,2073)(179,2072)(180,2071)(181,2070)(182,2069)(183,2068)(184,2067)(185,2066)(186,2065)(187,2064)(188,2063)(189,2062)(190,2061)(191,2060)(192,2059)(193,2058)(194,2057)(195,2056)(196,2055)(197,2054)(198,2053)(199,2052)(200,2051)(201,2050)(202,2049)(203,2048)(204,2047)(205,2046)(206,2045)(207,2044)(208,2043)(209,2042)(210,2041)(211,2040)(212,2039)(213,2038)(214,2037)(215,2036)(216,2035)(217,2034)(218,2033)(219,2032)(220,2031)(221,2030)(222,2029)(223,2028)(224,2027)(225,2026)(226,2025)(227,2024)(228,2023)(229,2022)(230,2021)(231,2020)(232,2019)(233,2018)(234,2017)(235,2016)(236,2015)(237,2014)(238,2013)(239,2012)(240,2011)(241,2010)(242,2009)(243,2008)(244,2007)(245,2006)(246,2005)(247,2004)(248,2003)(249,2002)(250,2001)(251,2000)(252,1999)(253,1998)(254,1997)(255,1996)(256,1995)(257,1994)(258,1993)(259,1992)(260,1991)(261,1990)(262,1989)(263,1988)(264,1987)(265,1986)(266,1985)(267,1984)(268,1983)(269,1982)(270,1981)(271,1980)(272,1979)(273,1978)(274,1977)(275,1976)(276,1975)(277,1974)(278,1973)(279,1972)(280,1971)(281,1970)(282,1969)(283,1968)(284,1967)(285,1966)(286,1965)(287,1964)(288,1963)(289,1962)(290,1961)(291,1960)(292,1959)(293,1958)(294,1957)(295,1956)(296,1955)(297,1954)(298,1953)(299,1952)(300,1951)(301,1950)(302,1949)(303,1948)(304,1947)(305,1946)(306,1945)(307,1944)(308,1943)(309,1942)(310,1941)(311,1940)(312,1939)(313,1938)(314,1937)(315,1936)(316,1935)(317,1934)(318,1933)(319,1932)(320,1931)(321,1930)(322,1929)(323,1928)(324,1927)(325,1926)(326,1925)(327,1924)(328,1923)(329,1922)(330,1921)(331,1920)(332,1919)(333,1918)(334,1917)(335,1916)(336,1915)(337,1914)(338,1913)(339,1912)(340,1911)(341,1910)(342,1909)(343,1908)(344,1907)(345,1906)(346,1905)(347,1904)(348,1903)(349,1902)(350,1901)(351,1900)(352,1899)(353,1898)(354,1897)(355,1896)(356,1895)(357,1894)(358,1893)(359,1892)(360,1891)(361,1890)(362,1889)(363,1888)(364,1887)(365,1886)(366,1885)(367,1884)(368,1883)(369,1882)(370,1881)(371,1880)(372,1879)(373,1878)(374,1877)(375,1876)(376,1875)(377,1874)(378,1873)(379,1872)(380,1871)(381,1870)(382,1869)(383,1868)(384,1867)(385,1866)(386,1865)(387,1864)(388,1863)(389,1862)(390,1861)(391,1860)(392,1859)(393,1858)(394,1857)(395,1856)(396,1855)(397,1854)(398,1853)(399,1852)(400,1851)(401,1850)(402,1849)(403,1848)(404,1847)(405,1846)(406,1845)(407,1844)(408,1843)(409,1842)(410,1841)(411,1840)(412,1839)(413,1838)(414,1837)(415,1836)(416,1835)(417,1834)(418,1833)(419,1832)(420,1831)(421,1830)(422,1829)(423,1828)(424,1827)(425,1826)(426,1825)(427,1824)(428,1823)(429,1822)(430,1821)(431,1820)(432,1819)(433,1818)(434,1817)(435,1816)(436,1815)(437,1814)(438,1813)(439,1812)(440,1811)(441,1810)(442,1809)(443,1808)(444,1807)(445,1806)(446,1805)(447,1804)(448,1803)(449,1802)(450,1801)(451,1800)(452,1799)(453,1798)(454,1797)(455,1796)(456,1795)(457,1794)(458,1793)(459,1792)(460,1791)(461,1790)(462,1789)(463,1788)(464,1787)(465,1786)(466,1785)(467,1784)(468,1783)(469,1782)(470,1781)(471,1780)(472,1779)(473,1778)(474,1777)(475,1776)(476,1775)(477,1774)(478,1773)(479,1772)(480,1771)(481,1770)(482,1769)(483,1768)(484,1767)(485,1766)(486,1765)(487,1764)(488,1763)(489,1762)(490,1761)(491,1760)(492,1759)(493,1758)(494,1757)(495,1756)(496,1755)(497,1754)(498,1753)(499,1752)(500,1751)(501,1750)(502,1749)(503,1748)(504,1747)(505,1746)(506,1745)(507,1744)(508,1743)(509,1742)(510,1741)(511,1740)(512,1739)(513,1738)(514,1737)(515,1736)(516,1735)(517,1734)(518,1733)(519,1732)(520,1731)(521,1730)(522,1729)(523,1728)(524,1727)(525,1726)(526,1725)(527,1724)(528,1723)(529,1722)(530,1721)(531,1720)(532,1719)(533,1718)(534,1717)(535,1716)(536,1715)(537,1714)(538,1713)(539,1712)(540,1711)(541,1710)(542,1709)(543,1708)(544,1707)(545,1706)(546,1705)(547,1704)(548,1703)(549,1702)(550,1701)(551,1700)(552,1699)(553,1698)(554,1697)(555,1696)(556,1695)(557,1694)(558,1693)(559,1692)(560,1691)(561,1690)(562,1689)(563,1688)(564,1687)(565,1686)(566,1685)(567,1684)(568,1683)(569,1682)(570,1681)(571,1680)(572,1679)(573,1678)(574,1677)(575,1676)(576,1675)(577,1674)(578,1673)(579,1672)(580,1671)(581,1670)(582,1669)(583,1668)(584,1667)(585,1666)(586,1665)(587,1664)(588,1663)(589,1662)(590,1661)(591,1660)(592,1659)(593,1658)(594,1657)(595,1656)(596,1655)(597,1654)(598,1653)(599,1652)(600,1651)(601,1650)(602,1649)(603,1648)(604,1647)(605,1646)(606,1645)(607,1644)(608,1643)(609,1642)(610,1641)(611,1640)(612,1639)(613,1638)(614,1637)(615,1636)(616,1635)(617,1634)(618,1633)(619,1632)(620,1631)(621,1630)(622,1629)(623,1628)(624,1627)(625,1626)(626,1625)(627,1624)(628,1623)(629,1622)(630,1621)(631,1620)(632,1619)(633,1618)(634,1617)(635,1616)(636,1615)(637,1614)(638,1613)(639,1612)(640,1611)(641,1610)(642,1609)(643,1608)(644,1607)(645,1606)(646,1605)(647,1604)(648,1603)(649,1602)(650,1601)(651,1600)(652,1599)(653,1598)(654,1597)(655,1596)(656,1595)(657,1594)(658,1593)(659,1592)(660,1591)(661,1590)(662,1589)(663,1588)(664,1587)(665,1586)(666,1585)(667,1584)(668,1583)(669,1582)(670,1581)(671,1580)(672,1579)(673,1578)(674,1577)(675,1576)(676,1575)(677,1574)(678,1573)(679,1572)(680,1571)(681,1570)(682,1569)(683,1568)(684,1567)(685,1566)(686,1565)(687,1564)(688,1563)(689,1562)(690,1561)(691,1560)(692,1559)(693,1558)(694,1557)(695,1556)(696,1555)(697,1554)(698,1553)(699,1552)(700,1551)(701,1550)(702,1549)(703,1548)(704,1547)(705,1546)(706,1545)(707,1544)(708,1543)(709,1542)(710,1541)(711,1540)(712,1539)(713,1538)(714,1537)(715,1536)(716,1535)(717,1534)(718,1533)(719,1532)(720,1531)(721,1530)(722,1529)(723,1528)(724,1527)(725,1526)(726,1525)(727,1524)(728,1523)(729,1522)(730,1521)(731,1520)(732,1519)(733,1518)(734,1517)(735,1516)(736,1515)(737,1514)(738,1513)(739,1512)(740,1511)(741,1510)(742,1509)(743,1508)(744,1507)(745,1506)(746,1505)(747,1504)(748,1503)(749,1502)(750,1501)(751,1500)(752,1499)(753,1498)(754,1497)(755,1496)(756,1495)(757,1494)(758,1493)(759,1492)(760,1491)(761,1490)(762,1489)(763,1488)(764,1487)(765,1486)(766,1485)(767,1484)(768,1483)(769,1482)(770,1481)(771,1480)(772,1479)(773,1478)(774,1477)(775,1476)(776,1475)(777,1474)(778,1473)(779,1472)(780,1471)(781,1470)(782,1469)(783,1468)(784,1467)(785,1466)(786,1465)(787,1464)(788,1463)(789,1462)(790,1461)(791,1460)(792,1459)(793,1458)(794,1457)(795,1456)(796,1455)(797,1454)(798,1453)(799,1452)(800,1451)(801,1450)(802,1449)(803,1448)(804,1447)(805,1446)(806,1445)(807,1444)(808,1443)(809,1442)(810,1441)(811,1440)(812,1439)(813,1438)(814,1437)(815,1436)(816,1435)(817,1434)(818,1433)(819,1432)(820,1431)(821,1430)(822,1429)(823,1428)(824,1427)(825,1426)(826,1425)(827,1424)(828,1423)(829,1422)(830,1421)(831,1420)(832,1419)(833,1418)(834,1417)(835,1416)(836,1415)(837,1414)(838,1413)(839,1412)(840,1411)(841,1410)(842,1409)(843,1408)(844,1407)(845,1406)(846,1405)(847,1404)(848,1403)(849,1402)(850,1401)(851,1400)(852,1399)(853,1398)(854,1397)(855,1396)(856,1395)(857,1394)(858,1393)(859,1392)(860,1391)(861,1390)(862,1389)(863,1388)(864,1387)(865,1386)(866,1385)(867,1384)(868,1383)(869,1382)(870,1381)(871,1380)(872,1379)(873,1378)(874,1377)(875,1376)(876,1375)(877,1374)(878,1373)(879,1372)(880,1371)(881,1370)(882,1369)(883,1368)(884,1367)(885,1366)(886,1365)(887,1364)(888,1363)(889,1362)(890,1361)(891,1360)(892,1359)(893,1358)(894,1357)(895,1356)(896,1355)(897,1354)(898,1353)(899,1352)(900,1351)(901,1350)(902,1349)(903,1348)(904,1347)(905,1346)(906,1345)(907,1344)(908,1343)(909,1342)(910,1341)(911,1340)(912,1339)(913,1338)(914,1337)(915,1336)(916,1335)(917,1334)(918,1333)(919,1332)(920,1331)(921,1330)(922,1329)(923,1328)(924,1327)(925,1326)(926,1325)(927,1324)(928,1323)(929,1322)(930,1321)(931,1320)(932,1319)(933,1318)(934,1317)(935,1316)(936,1315)(937,1314)(938,1313)(939,1312)(940,1311)(941,1310)(942,1309)(943,1308)(944,1307)(945,1306)(946,1305)(947,1304)(948,1303)(949,1302)(950,1301)(951,1300)(952,1299)(953,1298)(954,1297)(955,1296)(956,1295)(957,1294)(958,1293)(959,1292)(960,1291)(961,1290)(962,1289)(963,1288)(964,1287)(965,1286)(966,1285)(967,1284)(968,1283)(969,1282)(970,1281)(971,1280)(972,1279)(973,1278)(974,1277)(975,1276)(976,1275)(977,1274)(978,1273)(979,1272)(980,1271)(981,1270)(982,1269)(983,1268)(984,1267)(985,1266)(986,1265)(987,1264)(988,1263)(989,1262)(990,1261)(991,1260)(992,1259)(993,1258)(994,1257)(995,1256)(996,1255)(997,1254)(998,1253)(999,1252)(1000,1251)(1001,1250)(1002,1249)(1003,1248)(1004,1247)(1005,1246)(1006,1245)(1007,1244)(1008,1243)(1009,1242)(1010,1241)(1011,1240)(1012,1239)(1013,1238)(1014,1237)(1015,1236)(1016,1235)(1017,1234)(1018,1233)(1019,1232)(1020,1231)(1021,1230)(1022,1229)(1023,1228)(1024,1227)(1025,1226)(1026,1225)(1027,1224)(1028,1223)(1029,1222)(1030,1221)(1031,1220)(1032,1219)(1033,1218)(1034,1217)(1035,1216)(1036,1215)(1037,1214)(1038,1213)(1039,1212)(1040,1211)(1041,1210)(1042,1209)(1043,1208)(1044,1207)(1045,1206)(1046,1205)(1047,1204)(1048,1203)(1049,1202)(1050,1201)(1051,1200)(1052,1199)(1053,1198)(1054,1197)(1055,1196)(1056,1195)(1057,1194)(1058,1193)(1059,1192)(1060,1191)(1061,1190)(1062,1189)(1063,1188)(1064,1187)(1065,1186)(1066,1185)(1067,1184)(1068,1183)(1069,1182)(1070,1181)(1071,1180)(1072,1179)(1073,1178)(1074,1177)(1075,1176)(1076,1175)(1077,1174)(1078,1173)(1079,1172)(1080,1171)(1081,1170)(1082,1169)(1083,1168)(1084,1167)(1085,1166)(1086,1165)(1087,1164)(1088,1163)(1089,1162)(1090,1161)(1091,1160)(1092,1159)(1093,1158)(1094,1157)(1095,1156)(1096,1155)(1097,1154)(1098,1153)(1099,1152)(1100,1151)(1101,1150)(1102,1149)(1103,1148)(1104,1147)(1105,1146)(1106,1145)(1107,1144)(1108,1143)(1109,1142)(1110,1141)(1111,1140)(1112,1139)(1113,1138)(1114,1137)(1115,1136)(1116,1135)(1117,1134)(1118,1133)(1119,1132)(1120,1131)(1121,1130)(1122,1129)(1123,1128)(1124,1127)(1125,1126)
Conjugacy classes & character table
6720 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26868, 15);
Finite Group Databasebeta