Finite Group Databasebeta

?

← Prev (#44499449) Next (#44499451) →

Dic₇₆₅₂ #44499450

• metacyclic
• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

Splittings

Subgroups

18 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 1929 points:

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

Polycyclic presentation:

2^4,1913|a^2=d,b^2=d,c^2=d,b^a=bc,c^a=cd,e^a=e^1912,c^b=cd,e^b=e^1912

Conjugacy classes & character table

7655 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30608, 31);