D₅₄₃₃ #24925865

order	10866
automorphism	Aut(G) order 19667460
homology	Abelianization (H₁) = C₂ · Schur multiplier (H₂) = C₁

Aliases

dihedral	D₅₄₃₃
unambiguous semidirect product	C₃⋊D₁₈₁₁
unambiguous semidirect product	C₁₈₁₁⋊D₃

Splittings

Fitting, socle, derived, Hall	C₃×C₁₈₁₁ ⋊ C₂
Sylow	C₁₈₁₁ ⋊ D₃
Sylow	C₃ ⋊ D₁₈₁₁

Subgroups

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, cosocle, hypocenter	C₃×C₁₈₁₁	C₂
LCS	G ▷ C₃×C₁₈₁₁
UCS	C₁

8 conjugacy classes of subgroups.

Full subgroup data →

Presentation

minimal degree	μ(G) = 1814
transitive degree	μ_t(G) = 5433

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

Polycyclic presentation:

2,3,1811|b^a=b^2,c^a=c^1810

Conjugacy classes & character table

2718 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of	D₃×D₁₈₁₁, C₂×D₅₄₃₃, D₁₆₂₉₉, …
maximal normal subgroup of	D₃×D₁₈₁₁, C₂×D₅₄₃₃, C₃×D₅₄₃₃
maximal quotient of	Dic₅₄₃₃, C₂×D₅₄₃₃, D₁₆₂₉₉, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10866, 3);

D5433 #24925865