D₅₇₉₉ #26042413

order	11598
automorphism	Aut(G) order 22407336
homology	Abelianization (H₁) = C₂ · Schur multiplier (H₂) = C₁

Aliases

dihedral	D₅₇₉₉
unambiguous semidirect product	C₃⋊D₁₉₃₃
unambiguous semidirect product	C₁₉₃₃⋊D₃

Splittings

Fitting, socle, derived, Hall	C₃×C₁₉₃₃ ⋊ C₂
Sylow	C₁₉₃₃ ⋊ D₃
Sylow	C₃ ⋊ D₁₉₃₃

Subgroups

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, cosocle, hypocenter	C₃×C₁₉₃₃	C₂
LCS	G ▷ C₃×C₁₉₃₃
UCS	C₁

8 conjugacy classes of subgroups.

Full subgroup data →

Presentation

minimal degree	μ(G) = 1936
transitive degree	μ_t(G) = 5799

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

Polycyclic presentation:

2,3,1933|b^a=b^2,c^a=c^1932

Conjugacy classes & character table

2901 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of	D₃×D₁₉₃₃, C₂×D₅₇₉₉, D₁₇₃₉₇, …
maximal normal subgroup of	D₃×D₁₉₃₃, C₂×D₅₇₉₉, C₃⋊(D₁₉₃₃⋊C₃), …
maximal quotient of	Dic₅₇₉₉, C₂×D₅₇₉₉, D₁₇₃₉₇, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11598, 5);

D5799 #26042413