← Prev (#49116554) Next (#49116556) →
Aliases
Splittings
Subgroups
18 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 2014 points:
(2,3)(5,6,8)(7,10,15)(9,13,12)(11,17,25)(14,20,22)(16,23,19)(18,27,38)(21,30,35)(24,33,32)(26,36,29)(28,40,54)(31,43,51)(34,46,48)(37,49,45)(39,52,42)(41,56,73)(44,59,70)(47,62,67)(50,65,64)(53,68,61)(55,71,58)(57,75,95)(60,78,92)(63,81,89)(66,84,86)(69,87,83)(72,90,80)(74,93,77)(76,97,120)(79,100,117)(82,103,114)(85,106,111)(88,109,108)(91,112,105)(94,115,102)(96,118,99)(98,122,148)(101,125,145)(104,128,142)(107,131,139)(110,134,136)(113,137,133)(116,140,130)(119,143,127)(121,146,124)(123,150,179)(126,153,176)(129,156,173)(132,159,170)(135,162,167)(138,165,164)(141,168,161)(144,171,158)(147,174,155)(149,177,152)(151,181,213)(154,184,210)(157,187,207)(160,190,204)(163,193,201)(166,196,198)(169,199,195)(172,202,192)(175,205,189)(178,208,186)(180,211,183)(182,215,250)(185,218,247)(188,221,244)(191,224,241)(194,227,238)(197,230,235)(200,233,232)(203,236,229)(206,239,226)(209,242,223)(212,245,220)(214,248,217)(216,252,290)(219,255,287)(222,258,284)(225,261,281)(228,264,278)(231,267,275)(234,270,272)(237,273,269)(240,276,266)(243,279,263)(246,282,260)(249,285,257)(251,288,254)(253,292,333)(256,295,330)(259,298,327)(262,301,324)(265,304,321)(268,307,318)(271,310,315)(274,313,312)(277,316,309)(280,319,306)(283,322,303)(286,325,300)(289,328,297)(291,331,294)(293,335,379)(296,338,376)(299,341,373)(302,344,370)(305,347,367)(308,350,364)(311,353,361)(314,356,358)(317,359,355)(320,362,352)(323,365,349)(326,368,346)(329,371,343)(332,374,340)(334,377,337)(336,381,428)(339,384,425)(342,387,422)(345,390,419)(348,393,416)(351,396,413)(354,399,410)(357,402,407)(360,405,404)(363,408,401)(366,411,398)(369,414,395)(372,417,392)(375,420,389)(378,423,386)(380,426,383)(382,430,480)(385,433,477)(388,436,474)(391,439,471)(394,442,468)(397,445,465)(400,448,462)(403,451,459)(406,454,456)(409,457,453)(412,460,450)(415,463,447)(418,466,444)(421,469,441)(424,472,438)(427,475,435)(429,478,432)(431,482,535)(434,485,532)(437,488,529)(440,491,526)(443,494,523)(446,497,520)(449,500,517)(452,503,514)(455,506,511)(458,509,508)(461,512,505)(464,515,502)(467,518,499)(470,521,496)(473,524,493)(476,527,490)(479,530,487)(481,533,484)(483,537,593)(486,540,590)(489,543,587)(492,546,584)(495,549,581)(498,552,578)(501,555,575)(504,558,572)(507,561,569)(510,564,566)(513,567,563)(516,570,560)(519,573,557)(522,576,554)(525,579,551)(528,582,548)(531,585,545)(534,588,542)(536,591,539)(538,595,654)(541,598,651)(544,601,648)(547,604,645)(550,607,642)(553,610,639)(556,613,636)(559,616,633)(562,619,630)(565,622,627)(568,625,624)(571,628,621)(574,631,618)(577,634,615)(580,637,612)(583,640,609)(586,643,606)(589,646,603)(592,649,600)(594,652,597)(596,656,718)(599,659,715)(602,662,712)(605,665,709)(608,668,706)(611,671,703)(614,674,700)(617,677,697)(620,680,694)(623,683,691)(626,686,688)(629,689,685)(632,692,682)(635,695,679)(638,698,676)(641,701,673)(644,704,670)(647,707,667)(650,710,664)(653,713,661)(655,716,658)(657,720,785)(660,723,782)(663,726,779)(666,729,776)(669,732,773)(672,735,770)(675,738,767)(678,741,764)(681,744,761)(684,747,758)(687,750,755)(690,753,752)(693,756,749)(696,759,746)(699,762,743)(702,765,740)(705,768,737)(708,771,734)(711,774,731)(714,777,728)(717,780,725)(719,783,722)(721,787,855)(724,790,852)(727,793,849)(730,796,846)(733,799,843)(736,802,840)(739,805,837)(742,808,834)(745,811,831)(748,814,828)(751,817,825)(754,820,822)(757,823,819)(760,826,816)(763,829,813)(766,832,810)(769,835,807)(772,838,804)(775,841,801)(778,844,798)(781,847,795)(784,850,792)(786,853,789)(788,857,928)(791,860,925)(794,863,922)(797,866,919)(800,869,916)(803,872,913)(806,875,910)(809,878,907)(812,881,904)(815,884,901)(818,887,898)(821,890,895)(824,893,892)(827,896,889)(830,899,886)(833,902,883)(836,905,880)(839,908,877)(842,911,874)(845,914,871)(848,917,868)(851,920,865)(854,923,862)(856,926,859)(858,930,1004)(861,933,1001)(864,936,998)(867,939,995)(870,942,992)(873,945,989)(876,948,986)(879,951,983)(882,954,980)(885,957,977)(888,960,974)(891,963,971)(894,966,968)(897,969,965)(900,972,962)(903,975,959)(906,978,956)(909,981,953)(912,984,950)(915,987,947)(918,990,944)(921,993,941)(924,996,938)(927,999,935)(929,1002,932)(931,1006,1083)(934,1009,1080)(937,1012,1077)(940,1015,1074)(943,1018,1071)(946,1021,1068)(949,1024,1065)(952,1027,1062)(955,1030,1059)(958,1033,1056)(961,1036,1053)(964,1039,1050)(967,1042,1047)(970,1045,1044)(973,1048,1041)(976,1051,1038)(979,1054,1035)(982,1057,1032)(985,1060,1029)(988,1063,1026)(991,1066,1023)(994,1069,1020)(997,1072,1017)(1000,1075,1014)(1003,1078,1011)(1005,1081,1008)(1007,1085,1165)(1010,1088,1162)(1013,1091,1159)(1016,1094,1156)(1019,1097,1153)(1022,1100,1150)(1025,1103,1147)(1028,1106,1144)(1031,1109,1141)(1034,1112,1138)(1037,1115,1135)(1040,1118,1132)(1043,1121,1129)(1046,1124,1126)(1049,1127,1123)(1052,1130,1120)(1055,1133,1117)(1058,1136,1114)(1061,1139,1111)(1064,1142,1108)(1067,1145,1105)(1070,1148,1102)(1073,1151,1099)(1076,1154,1096)(1079,1157,1093)(1082,1160,1090)(1084,1163,1087)(1086,1167,1250)(1089,1170,1247)(1092,1173,1244)(1095,1176,1241)(1098,1179,1238)(1101,1182,1235)(1104,1185,1232)(1107,1188,1229)(1110,1191,1226)(1113,1194,1223)(1116,1197,1220)(1119,1200,1217)(1122,1203,1214)(1125,1206,1211)(1128,1209,1208)(1131,1212,1205)(1134,1215,1202)(1137,1218,1199)(1140,1221,1196)(1143,1224,1193)(1146,1227,1190)(1149,1230,1187)(1152,1233,1184)(1155,1236,1181)(1158,1239,1178)(1161,1242,1175)(1164,1245,1172)(1166,1248,1169)(1168,1252,1282)(1171,1254,1334)(1174,1257,1331)(1177,1260,1328)(1180,1263,1325)(1183,1266,1322)(1186,1269,1319)(1189,1272,1316)(1192,1275,1313)(1195,1278,1310)(1198,1281,1307)(1201,1284,1304)(1204,1287,1301)(1207,1290,1298)(1210,1293,1295)(1213,1296,1292)(1216,1299,1289)(1219,1302,1286)(1222,1305,1283)(1225,1308,1280)(1228,1311,1277)(1231,1314,1274)(1234,1317,1271)(1237,1320,1268)(1240,1323,1265)(1243,1326,1262)(1246,1329,1259)(1249,1332,1256)(1251,1335,1253)(1255,1339,1365)(1258,1341,1416)(1261,1344,1413)(1264,1347,1410)(1267,1350,1407)(1270,1353,1404)(1273,1356,1401)(1276,1359,1398)(1279,1362,1395)(1285,1367,1390)(1288,1370,1387)(1291,1373,1384)(1294,1376,1381)(1297,1379,1378)(1300,1382,1375)(1303,1385,1372)(1306,1388,1369)(1309,1391,1366)(1312,1393,1364)(1315,1396,1361)(1318,1399,1358)(1321,1402,1355)(1324,1405,1352)(1327,1408,1349)(1330,1411,1346)(1333,1414,1343)(1336,1417,1340)(1337,1368,1338)(1342,1421,1444)(1345,1423,1492)(1348,1426,1489)(1351,1429,1486)(1354,1432,1483)(1357,1435,1480)(1360,1438,1477)(1363,1441,1474)(1371,1447,1467)(1374,1450,1464)(1377,1453,1461)(1380,1456,1458)(1383,1459,1455)(1386,1462,1452)(1389,1465,1449)(1392,1468,1446)(1394,1470,1445)(1397,1472,1443)(1400,1475,1440)(1403,1478,1437)(1406,1481,1434)(1409,1484,1431)(1412,1487,1428)(1415,1490,1425)(1418,1493,1422)(1419,1448,1420)(1424,1497,1517)(1427,1499,1562)(1430,1502,1559)(1433,1505,1556)(1436,1508,1553)(1439,1511,1550)(1442,1514,1547)(1451,1521,1538)(1454,1524,1535)(1457,1527,1532)(1460,1530,1529)(1463,1533,1526)(1466,1536,1523)(1469,1539,1520)(1471,1541,1519)(1473,1543,1518)(1476,1545,1516)(1479,1548,1513)(1482,1551,1510)(1485,1554,1507)(1488,1557,1504)(1491,1560,1501)(1494,1563,1498)(1495,1522,1496)(1500,1567,1584)(1503,1569,1626)(1506,1572,1623)(1509,1575,1620)(1512,1578,1617)(1515,1581,1614)(1525,1589,1603)(1528,1592,1600)(1531,1595,1597)(1534,1598,1594)(1537,1601,1591)(1540,1604,1588)(1542,1606,1587)(1544,1608,1586)(1546,1610,1585)(1549,1612,1583)(1552,1615,1580)(1555,1618,1577)(1558,1621,1574)(1561,1624,1571)(1564,1627,1568)(1565,1590,1566)(1570,1631,1645)(1573,1633,1684)(1576,1636,1681)(1579,1639,1678)(1582,1642,1675)(1593,1651,1662)(1596,1654,1659)(1599,1657,1656)(1602,1660,1653)(1605,1663,1650)(1607,1665,1649)(1609,1667,1648)(1611,1669,1647)(1613,1671,1646)(1616,1673,1644)(1619,1676,1641)(1622,1679,1638)(1625,1682,1635)(1628,1685,1632)(1629,1652,1630)(1634,1689,1700)(1637,1691,1736)(1640,1694,1733)(1643,1697,1730)(1655,1707,1715)(1658,1710,1712)(1661,1713,1709)(1664,1716,1706)(1666,1718,1705)(1668,1720,1704)(1670,1722,1703)(1672,1724,1702)(1674,1726,1701)(1677,1728,1699)(1680,1731,1696)(1683,1734,1693)(1686,1737,1690)(1687,1708,1688)(1692,1741,1749)(1695,1743,1782)(1698,1746,1779)(1711,1757,1762)(1714,1760,1759)(1717,1763,1756)(1719,1765,1755)(1721,1767,1754)(1723,1769,1753)(1725,1771,1752)(1727,1773,1751)(1729,1775,1750)(1732,1777,1748)(1735,1780,1745)(1738,1783,1742)(1739,1758,1740)(1744,1787,1792)(1747,1789,1822)(1761,1801,1803)(1764,1804,1800)(1766,1806,1799)(1768,1808,1798)(1770,1810,1797)(1772,1812,1796)(1774,1814,1795)(1776,1816,1794)(1778,1818,1793)(1781,1820,1791)(1784,1823,1788)(1785,1802,1786)(1790,1827,1829)(1805,1839,1838)(1807,1841,1837)(1809,1843,1836)(1811,1845,1835)(1813,1847,1834)(1815,1849,1833)(1817,1851,1832)(1819,1853,1831)(1821,1855,1830)(1824,1857,1828)(1825,1840,1826)(1842,1870,1869)(1844,1872,1868)(1846,1874,1867)(1848,1876,1866)(1850,1878,1865)(1852,1880,1864)(1854,1882,1863)(1856,1884,1862)(1858,1886,1861)(1859,1871,1860)(1873,1898,1897)(1875,1900,1896)(1877,1902,1895)(1879,1904,1894)(1881,1906,1893)(1883,1908,1892)(1885,1910,1891)(1887,1912,1890)(1888,1899,1889)(1901,1923,1922)(1903,1925,1921)(1905,1927,1920)(1907,1929,1919)(1909,1931,1918)(1911,1933,1917)(1913,1935,1916)(1914,1924,1915)(1926,1945,1944)(1928,1947,1943)(1930,1949,1942)(1932,1951,1941)(1934,1953,1940)(1936,1955,1939)(1937,1946,1938)(1948,1964,1963)(1950,1966,1962)(1952,1968,1961)(1954,1970,1960)(1956,1972,1959)(1957,1965,1958)(1967,1980,1979)(1969,1982,1978)(1971,1984,1977)(1973,1986,1976)(1974,1981,1975)(1983,1993,1992)(1985,1995,1991)(1987,1997,1990)(1988,1994,1989)(1996,2003,2002)(1998,2005,2001)(1999,2004,2000)(2006,2010,2009)(2007,2011,2008)(2012,2014,2013);(1,2,3)(4,5,7,11,18,28,41,57,76,98,123,151,182,216,253,293,336,382,431,483,538,596,657,721,788,858,931,1007,1086,1168,1194,1030,878,738,610,494,390,298,218,150,180,212,246,283,323,366,412,461,513,568,626,687,751,818,888,961,1037,1116,1198,1282,1365,1444,1517,1584,1645,1700,1749,1792,1829,1827,1743,1636,1505,1350,1179,1015,863,723,595,655,717,781,848,918,991,1067,1146,1228,1312,1394,1471,1542,1607,1666,1719,1766,1807,1842,1871,1823,1734,1621,1484,1323,1154,996,850,716,593,651,712,776,843,913,986,1062,1141,1223,1307,1390,1467,1538,1603,1662,1715,1762,1803,1838,1869,1897,1922,1944,1963,1979,1992,2002,2009,2013,2010,1995,1968,1929,1878,1812,1722,1608,1470,1308,1139,981,835,701,579,469,371,285,211,148,176,207,241,278,318,361,407,456,508,563,621,682,746,813,883,956,1032,1111,1193,1277,1361,1440,1513,1580,1641,1696,1745,1788,1826,1801,1710,1595,1456,1293,1124,966,820,686,564,454,356,270,196,134,84,46,20,6,9,14,21,31,44,60,79,101,126,154,185,219,256,296,339,385,434,486,541,599,660,724,791,861,934,1010,1089,1171,1255,1278,1109,951,805,671,549,439,341,255,181,214,249,286,326,369,415,464,516,571,629,690,754,821,891,964,1040,1119,1201,1285,1368,1250,1334,1416,1492,1562,1626,1684,1736,1782,1822,1787,1691,1572,1429,1263,1094,936,790,656,719,784,851,921,994,1070,1149,1231,1315,1397,1473,1544,1609,1668,1721,1768,1809,1844,1873,1899,1857,1780,1679,1554,1405,1236,1072,920,780,652,535,590,648,709,773,840,910,983,1059,1138,1220,1304,1387,1464,1535,1600,1659,1712,1759,1800,1837,1868,1896,1921,1943,1962,1978,1991,2001,2008,2003,1982,1949,1904,1847,1769,1667,1541,1391,1221,1057,905,765,637,521,417,325,245,177,120,145,173,204,238,275,315,358,404,453,505,560,618,679,743,810,880,953,1029,1108,1190,1274,1358,1437,1510,1577,1638,1693,1742,1786,1757,1654,1527,1376,1206,1042,890,750,622,506,402,310,230,162,106,62,30,10,16,24,34,47,63,82,104,129,157,188,222,259,299,342,388,437,489,544,602,663,727,794,864,937,1013,1092,1174,1258,1342,1362,1191,1027,875,735,607,491,387,295,215,251,289,329,372,418,467,519,574,632,693,757,824,894,967,1043,1122,1204,1288,1371,1448,1335,1165,1247,1331,1413,1489,1559,1623,1681,1733,1779,1741,1633,1502,1347,1176,1012,860,720,786,854,924,997,1073,1152,1234,1318,1400,1476,1546,1611,1670,1723,1770,1811,1846,1875,1901,1924,1886,1820,1731,1618,1481,1320,1151,993,847,713,591,480,532,587,645,706,770,837,907,980,1056,1135,1217,1301,1384,1461,1532,1597,1656,1709,1756,1799,1836,1867,1895,1920,1942,1961,1977,1990,2000,1993,1966,1927,1876,1810,1720,1606,1468,1305,1136,978,832,698,576,466,368,282,208,146,95,117,142,170,201,235,272,312,355,401,450,502,557,615,676,740,807,877,950,1026,1105,1187,1271,1355,1434,1507,1574,1635,1690,1740,1707,1592,1453,1290,1121,963,817,683,561,451,353,267,193,131,81,43,17,26,37,50,66,85,107,132,160,191,225,262,302,345,391,440,492,547,605,666,730,797,867,940,1016,1095,1177,1261,1345,1424,1441,1275,1106,948,802,668,546,436,338,252,291,332,375,421,470,522,577,635,696,760,827,897,970,1046,1125,1207,1291,1374,1451,1522,1417,1248,1083,1162,1244,1328,1410,1486,1556,1620,1678,1730,1689,1569,1426,1260,1091,933,787,856,927,1000,1076,1155,1237,1321,1403,1479,1549,1613,1672,1725,1772,1813,1848,1877,1903,1926,1946,1912,1855,1777,1676,1551,1402,1233,1069,917,777,649,533,428,477,529,584,642,703,767,834,904,977,1053,1132,1214,1298,1381,1458,1529,1594,1653,1706,1755,1798,1835,1866,1894,1919,1941,1960,1976,1989,1980,1947,1902,1845,1767,1665,1539,1388,1218,1054,902,762,634,518,414,322,242,174,118,73,92,114,139,167,198,232,269,309,352,398,447,499,554,612,673,737,804,874,947,1023,1102,1184,1268,1352,1431,1504,1571,1632,1688,1651,1524,1373,1203,1039,887,747,619,503,399,307,227,159,103,59,27,39,53,69,88,110,135,163,194,228,265,305,348,394,443,495,550,608,669,733,800,870,943,1019,1098,1180,1264,1348,1427,1500,1514,1359,1188,1024,872,732,604,488,384,292,334,378,424,473,525,580,638,699,763,830,900,973,1049,1128,1210,1294,1377,1454,1525,1590,1493,1332,1163,1004,1080,1159,1241,1325,1407,1483,1553,1617,1675,1631,1499,1344,1173,1009,857,929,1003,1079,1158,1240,1324,1406,1482,1552,1616,1674,1727,1774,1815,1850,1879,1905,1928,1948,1965,1935,1884,1818,1728,1615,1478,1317,1148,990,844,710,588,478,379,425,474,526,581,639,700,764,831,901,974,1050,1129,1211,1295,1378,1455,1526,1591,1650,1705,1754,1797,1834,1865,1893,1918,1940,1959,1975,1964,1925,1874,1808,1718,1604,1465,1302,1133,975,829,695,573,463,365,279,205,143,93,54,70,89,111,136,164,195,229,266,306,349,395,444,496,551,609,670,734,801,871,944,1020,1099,1181,1265,1349,1428,1501,1568,1630,1589,1450,1287,1118,960,814,680,558,448,350,264,190,128,78,40,55,72,91,113,138,166,197,231,268,308,351,397,446,498,553,611,672,736,803,873,946,1022,1101,1183,1267,1351,1430,1503,1570,1581,1438,1272,1103,945,799,665,543,433,335,380,427,476,528,583,641,702,766,833,903,976,1052,1131,1213,1297,1380,1457,1528,1593,1652,1563,1414,1245,1081,928,1001,1077,1156,1238,1322,1404,1480,1550,1614,1567,1423,1257,1088,930,1005,1082,1161,1243,1327,1409,1485,1555,1619,1677,1729,1776,1817,1852,1881,1907,1930,1950,1967,1981,1955,1910,1853,1775,1673,1548,1399,1230,1066,914,774,646,530,426,333,376,422,471,523,578,636,697,761,828,898,971,1047,1126,1208,1292,1375,1452,1523,1588,1649,1704,1753,1796,1833,1864,1892,1917,1939,1958,1945,1900,1843,1765,1663,1536,1385,1215,1051,899,759,631,515,411,319,239,171,115,71,38,51,67,86,108,133,161,192,226,263,303,346,392,441,493,548,606,667,731,798,868,941,1017,1096,1178,1262,1346,1425,1498,1566,1521,1370,1200,1036,884,744,616,500,396,304,224,156,100,56,74,94,116,141,169,200,234,271,311,354,400,449,501,556,614,675,739,806,876,949,1025,1104,1186,1270,1354,1433,1506,1573,1634,1642,1511,1356,1185,1021,869,729,601,485,381,429,479,531,586,644,705,769,836,906,979,1055,1134,1216,1300,1383,1460,1531,1596,1655,1708,1627,1490,1329,1160,1002,855,925,998,1074,1153,1235,1319,1401,1477,1547,1497,1341,1170,1006,1084,1164,1246,1330,1412,1488,1558,1622,1680,1732,1778,1819,1854,1883,1909,1932,1952,1969,1983,1994,1972,1933,1882,1816,1726,1612,1475,1314,1145,987,841,707,585,475,377,290,330,373,419,468,520,575,633,694,758,825,895,968,1044,1123,1205,1289,1372,1449,1520,1587,1648,1703,1752,1795,1832,1863,1891,1916,1938,1923,1872,1806,1716,1601,1462,1299,1130,972,826,692,570,460,362,276,202,140,90,52,25,35,48,64,83,105,130,158,189,223,260,300,343,389,438,490,545,603,664,728,795,865,938,1014,1093,1175,1259,1343,1422,1496,1447,1284,1115,957,811,677,555,445,347,261,187,125,75,96,119,144,172,203,237,274,314,357,403,452,504,559,617,678,742,809,879,952,1028,1107,1189,1273,1357,1436,1509,1576,1637,1692,1697,1578,1435,1269,1100,942,796,662,540,430,481,534,589,647,708,772,839,909,982,1058,1137,1219,1303,1386,1463,1534,1599,1658,1711,1758,1685,1560,1411,1242,1078,926,785,852,922,995,1071,1150,1232,1316,1398,1474,1421,1254,1085,1166,1249,1333,1415,1491,1561,1625,1683,1735,1781,1821,1856,1885,1911,1934,1954,1971,1985,1996,2004,1986,1953,1908,1851,1773,1671,1545,1396,1227,1063,911,771,643,527,423,331,250,287,327,370,416,465,517,572,630,691,755,822,892,965,1041,1120,1202,1286,1369,1446,1519,1586,1647,1702,1751,1794,1831,1862,1890,1915,1898,1841,1763,1660,1533,1382,1212,1048,896,756,628,512,408,316,236,168,112,68,36,15,22,32,45,61,80,102,127,155,186,220,257,297,340,386,435,487,542,600,661,725,792,862,935,1011,1090,1172,1256,1340,1420,1367,1197,1033,881,741,613,497,393,301,221,153,97,121,147,175,206,240,277,317,360,406,455,507,562,620,681,745,812,882,955,1031,1110,1192,1276,1360,1439,1512,1579,1640,1695,1744,1746,1639,1508,1353,1182,1018,866,726,598,482,536,592,650,711,775,842,912,985,1061,1140,1222,1306,1389,1466,1537,1602,1661,1714,1761,1802,1737,1624,1487,1326,1157,999,853,718,782,849,919,992,1068,1147,1229,1313,1395,1339,1167,1251,1336,1418,1494,1564,1628,1686,1738,1784,1824,1858,1887,1913,1936,1956,1973,1987,1998,2006,2011,1997,1970,1931,1880,1814,1724,1610,1472,1311,1142,984,838,704,582,472,374,288,213,247,284,324,367,413,462,514,569,627,688,752,819,889,962,1038,1117,1199,1283,1366,1445,1518,1585,1646,1701,1750,1793,1830,1861,1889,1870,1804,1713,1598,1459,1296,1127,969,823,689,567,457,359,273,199,137,87,49,23,8,12,19,29,42,58,77,99,124,152,183,217,254,294,337,383,432,484,539,597,658,722,789,859,932,1008,1087,1169,1253,1338,1281,1112,954,808,674,552,442,344,258,184,122,149,178,209,243,280,320,363,409,458,510,565,623,684,748,815,885,958,1034,1113,1195,1279,1363,1442,1515,1582,1643,1698,1747,1790,1789,1694,1575,1432,1266,1097,939,793,659,537,594,653,714,778,845,915,988,1064,1143,1225,1309,1392,1469,1540,1605,1664,1717,1764,1805,1840,1783,1682,1557,1408,1239,1075,923,783,654,715,779,846,916,989,1065,1144,1226,1310,1252,1337,1419,1495,1565,1629,1687,1739,1785,1825,1859,1888,1914,1937,1957,1974,1988,1999,2007,2012,2014,2005,1984,1951,1906,1849,1771,1669,1543,1393,1224,1060,908,768,640,524,420,328,248,179,210,244,281,321,364,410,459,511,566,624,685,749,816,886,959,1035,1114,1196,1280,1364,1443,1516,1583,1644,1699,1748,1791,1828,1860,1839,1760,1657,1530,1379,1209,1045,893,753,625,509,405,313,233,165,109,65,33,13)
Conjugacy classes & character table
2019 conjugacy classes. The character table is too large to display.
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36198, 10);
Finite Group Databasebeta