← Prev (#30633236) Next (#30633238) →
Dic4034 #30633237
Aliases
Splittings
Subgroups
12 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 2025 points:
(1,2,3,4)(5,8,7,6)(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);(1,5,3,7)(2,6,4,8)(10,2025)(11,2024)(12,2023)(13,2022)(14,2021)(15,2020)(16,2019)(17,2018)(18,2017)(19,2016)(20,2015)(21,2014)(22,2013)(23,2012)(24,2011)(25,2010)(26,2009)(27,2008)(28,2007)(29,2006)(30,2005)(31,2004)(32,2003)(33,2002)(34,2001)(35,2000)(36,1999)(37,1998)(38,1997)(39,1996)(40,1995)(41,1994)(42,1993)(43,1992)(44,1991)(45,1990)(46,1989)(47,1988)(48,1987)(49,1986)(50,1985)(51,1984)(52,1983)(53,1982)(54,1981)(55,1980)(56,1979)(57,1978)(58,1977)(59,1976)(60,1975)(61,1974)(62,1973)(63,1972)(64,1971)(65,1970)(66,1969)(67,1968)(68,1967)(69,1966)(70,1965)(71,1964)(72,1963)(73,1962)(74,1961)(75,1960)(76,1959)(77,1958)(78,1957)(79,1956)(80,1955)(81,1954)(82,1953)(83,1952)(84,1951)(85,1950)(86,1949)(87,1948)(88,1947)(89,1946)(90,1945)(91,1944)(92,1943)(93,1942)(94,1941)(95,1940)(96,1939)(97,1938)(98,1937)(99,1936)(100,1935)(101,1934)(102,1933)(103,1932)(104,1931)(105,1930)(106,1929)(107,1928)(108,1927)(109,1926)(110,1925)(111,1924)(112,1923)(113,1922)(114,1921)(115,1920)(116,1919)(117,1918)(118,1917)(119,1916)(120,1915)(121,1914)(122,1913)(123,1912)(124,1911)(125,1910)(126,1909)(127,1908)(128,1907)(129,1906)(130,1905)(131,1904)(132,1903)(133,1902)(134,1901)(135,1900)(136,1899)(137,1898)(138,1897)(139,1896)(140,1895)(141,1894)(142,1893)(143,1892)(144,1891)(145,1890)(146,1889)(147,1888)(148,1887)(149,1886)(150,1885)(151,1884)(152,1883)(153,1882)(154,1881)(155,1880)(156,1879)(157,1878)(158,1877)(159,1876)(160,1875)(161,1874)(162,1873)(163,1872)(164,1871)(165,1870)(166,1869)(167,1868)(168,1867)(169,1866)(170,1865)(171,1864)(172,1863)(173,1862)(174,1861)(175,1860)(176,1859)(177,1858)(178,1857)(179,1856)(180,1855)(181,1854)(182,1853)(183,1852)(184,1851)(185,1850)(186,1849)(187,1848)(188,1847)(189,1846)(190,1845)(191,1844)(192,1843)(193,1842)(194,1841)(195,1840)(196,1839)(197,1838)(198,1837)(199,1836)(200,1835)(201,1834)(202,1833)(203,1832)(204,1831)(205,1830)(206,1829)(207,1828)(208,1827)(209,1826)(210,1825)(211,1824)(212,1823)(213,1822)(214,1821)(215,1820)(216,1819)(217,1818)(218,1817)(219,1816)(220,1815)(221,1814)(222,1813)(223,1812)(224,1811)(225,1810)(226,1809)(227,1808)(228,1807)(229,1806)(230,1805)(231,1804)(232,1803)(233,1802)(234,1801)(235,1800)(236,1799)(237,1798)(238,1797)(239,1796)(240,1795)(241,1794)(242,1793)(243,1792)(244,1791)(245,1790)(246,1789)(247,1788)(248,1787)(249,1786)(250,1785)(251,1784)(252,1783)(253,1782)(254,1781)(255,1780)(256,1779)(257,1778)(258,1777)(259,1776)(260,1775)(261,1774)(262,1773)(263,1772)(264,1771)(265,1770)(266,1769)(267,1768)(268,1767)(269,1766)(270,1765)(271,1764)(272,1763)(273,1762)(274,1761)(275,1760)(276,1759)(277,1758)(278,1757)(279,1756)(280,1755)(281,1754)(282,1753)(283,1752)(284,1751)(285,1750)(286,1749)(287,1748)(288,1747)(289,1746)(290,1745)(291,1744)(292,1743)(293,1742)(294,1741)(295,1740)(296,1739)(297,1738)(298,1737)(299,1736)(300,1735)(301,1734)(302,1733)(303,1732)(304,1731)(305,1730)(306,1729)(307,1728)(308,1727)(309,1726)(310,1725)(311,1724)(312,1723)(313,1722)(314,1721)(315,1720)(316,1719)(317,1718)(318,1717)(319,1716)(320,1715)(321,1714)(322,1713)(323,1712)(324,1711)(325,1710)(326,1709)(327,1708)(328,1707)(329,1706)(330,1705)(331,1704)(332,1703)(333,1702)(334,1701)(335,1700)(336,1699)(337,1698)(338,1697)(339,1696)(340,1695)(341,1694)(342,1693)(343,1692)(344,1691)(345,1690)(346,1689)(347,1688)(348,1687)(349,1686)(350,1685)(351,1684)(352,1683)(353,1682)(354,1681)(355,1680)(356,1679)(357,1678)(358,1677)(359,1676)(360,1675)(361,1674)(362,1673)(363,1672)(364,1671)(365,1670)(366,1669)(367,1668)(368,1667)(369,1666)(370,1665)(371,1664)(372,1663)(373,1662)(374,1661)(375,1660)(376,1659)(377,1658)(378,1657)(379,1656)(380,1655)(381,1654)(382,1653)(383,1652)(384,1651)(385,1650)(386,1649)(387,1648)(388,1647)(389,1646)(390,1645)(391,1644)(392,1643)(393,1642)(394,1641)(395,1640)(396,1639)(397,1638)(398,1637)(399,1636)(400,1635)(401,1634)(402,1633)(403,1632)(404,1631)(405,1630)(406,1629)(407,1628)(408,1627)(409,1626)(410,1625)(411,1624)(412,1623)(413,1622)(414,1621)(415,1620)(416,1619)(417,1618)(418,1617)(419,1616)(420,1615)(421,1614)(422,1613)(423,1612)(424,1611)(425,1610)(426,1609)(427,1608)(428,1607)(429,1606)(430,1605)(431,1604)(432,1603)(433,1602)(434,1601)(435,1600)(436,1599)(437,1598)(438,1597)(439,1596)(440,1595)(441,1594)(442,1593)(443,1592)(444,1591)(445,1590)(446,1589)(447,1588)(448,1587)(449,1586)(450,1585)(451,1584)(452,1583)(453,1582)(454,1581)(455,1580)(456,1579)(457,1578)(458,1577)(459,1576)(460,1575)(461,1574)(462,1573)(463,1572)(464,1571)(465,1570)(466,1569)(467,1568)(468,1567)(469,1566)(470,1565)(471,1564)(472,1563)(473,1562)(474,1561)(475,1560)(476,1559)(477,1558)(478,1557)(479,1556)(480,1555)(481,1554)(482,1553)(483,1552)(484,1551)(485,1550)(486,1549)(487,1548)(488,1547)(489,1546)(490,1545)(491,1544)(492,1543)(493,1542)(494,1541)(495,1540)(496,1539)(497,1538)(498,1537)(499,1536)(500,1535)(501,1534)(502,1533)(503,1532)(504,1531)(505,1530)(506,1529)(507,1528)(508,1527)(509,1526)(510,1525)(511,1524)(512,1523)(513,1522)(514,1521)(515,1520)(516,1519)(517,1518)(518,1517)(519,1516)(520,1515)(521,1514)(522,1513)(523,1512)(524,1511)(525,1510)(526,1509)(527,1508)(528,1507)(529,1506)(530,1505)(531,1504)(532,1503)(533,1502)(534,1501)(535,1500)(536,1499)(537,1498)(538,1497)(539,1496)(540,1495)(541,1494)(542,1493)(543,1492)(544,1491)(545,1490)(546,1489)(547,1488)(548,1487)(549,1486)(550,1485)(551,1484)(552,1483)(553,1482)(554,1481)(555,1480)(556,1479)(557,1478)(558,1477)(559,1476)(560,1475)(561,1474)(562,1473)(563,1472)(564,1471)(565,1470)(566,1469)(567,1468)(568,1467)(569,1466)(570,1465)(571,1464)(572,1463)(573,1462)(574,1461)(575,1460)(576,1459)(577,1458)(578,1457)(579,1456)(580,1455)(581,1454)(582,1453)(583,1452)(584,1451)(585,1450)(586,1449)(587,1448)(588,1447)(589,1446)(590,1445)(591,1444)(592,1443)(593,1442)(594,1441)(595,1440)(596,1439)(597,1438)(598,1437)(599,1436)(600,1435)(601,1434)(602,1433)(603,1432)(604,1431)(605,1430)(606,1429)(607,1428)(608,1427)(609,1426)(610,1425)(611,1424)(612,1423)(613,1422)(614,1421)(615,1420)(616,1419)(617,1418)(618,1417)(619,1416)(620,1415)(621,1414)(622,1413)(623,1412)(624,1411)(625,1410)(626,1409)(627,1408)(628,1407)(629,1406)(630,1405)(631,1404)(632,1403)(633,1402)(634,1401)(635,1400)(636,1399)(637,1398)(638,1397)(639,1396)(640,1395)(641,1394)(642,1393)(643,1392)(644,1391)(645,1390)(646,1389)(647,1388)(648,1387)(649,1386)(650,1385)(651,1384)(652,1383)(653,1382)(654,1381)(655,1380)(656,1379)(657,1378)(658,1377)(659,1376)(660,1375)(661,1374)(662,1373)(663,1372)(664,1371)(665,1370)(666,1369)(667,1368)(668,1367)(669,1366)(670,1365)(671,1364)(672,1363)(673,1362)(674,1361)(675,1360)(676,1359)(677,1358)(678,1357)(679,1356)(680,1355)(681,1354)(682,1353)(683,1352)(684,1351)(685,1350)(686,1349)(687,1348)(688,1347)(689,1346)(690,1345)(691,1344)(692,1343)(693,1342)(694,1341)(695,1340)(696,1339)(697,1338)(698,1337)(699,1336)(700,1335)(701,1334)(702,1333)(703,1332)(704,1331)(705,1330)(706,1329)(707,1328)(708,1327)(709,1326)(710,1325)(711,1324)(712,1323)(713,1322)(714,1321)(715,1320)(716,1319)(717,1318)(718,1317)(719,1316)(720,1315)(721,1314)(722,1313)(723,1312)(724,1311)(725,1310)(726,1309)(727,1308)(728,1307)(729,1306)(730,1305)(731,1304)(732,1303)(733,1302)(734,1301)(735,1300)(736,1299)(737,1298)(738,1297)(739,1296)(740,1295)(741,1294)(742,1293)(743,1292)(744,1291)(745,1290)(746,1289)(747,1288)(748,1287)(749,1286)(750,1285)(751,1284)(752,1283)(753,1282)(754,1281)(755,1280)(756,1279)(757,1278)(758,1277)(759,1276)(760,1275)(761,1274)(762,1273)(763,1272)(764,1271)(765,1270)(766,1269)(767,1268)(768,1267)(769,1266)(770,1265)(771,1264)(772,1263)(773,1262)(774,1261)(775,1260)(776,1259)(777,1258)(778,1257)(779,1256)(780,1255)(781,1254)(782,1253)(783,1252)(784,1251)(785,1250)(786,1249)(787,1248)(788,1247)(789,1246)(790,1245)(791,1244)(792,1243)(793,1242)(794,1241)(795,1240)(796,1239)(797,1238)(798,1237)(799,1236)(800,1235)(801,1234)(802,1233)(803,1232)(804,1231)(805,1230)(806,1229)(807,1228)(808,1227)(809,1226)(810,1225)(811,1224)(812,1223)(813,1222)(814,1221)(815,1220)(816,1219)(817,1218)(818,1217)(819,1216)(820,1215)(821,1214)(822,1213)(823,1212)(824,1211)(825,1210)(826,1209)(827,1208)(828,1207)(829,1206)(830,1205)(831,1204)(832,1203)(833,1202)(834,1201)(835,1200)(836,1199)(837,1198)(838,1197)(839,1196)(840,1195)(841,1194)(842,1193)(843,1192)(844,1191)(845,1190)(846,1189)(847,1188)(848,1187)(849,1186)(850,1185)(851,1184)(852,1183)(853,1182)(854,1181)(855,1180)(856,1179)(857,1178)(858,1177)(859,1176)(860,1175)(861,1174)(862,1173)(863,1172)(864,1171)(865,1170)(866,1169)(867,1168)(868,1167)(869,1166)(870,1165)(871,1164)(872,1163)(873,1162)(874,1161)(875,1160)(876,1159)(877,1158)(878,1157)(879,1156)(880,1155)(881,1154)(882,1153)(883,1152)(884,1151)(885,1150)(886,1149)(887,1148)(888,1147)(889,1146)(890,1145)(891,1144)(892,1143)(893,1142)(894,1141)(895,1140)(896,1139)(897,1138)(898,1137)(899,1136)(900,1135)(901,1134)(902,1133)(903,1132)(904,1131)(905,1130)(906,1129)(907,1128)(908,1127)(909,1126)(910,1125)(911,1124)(912,1123)(913,1122)(914,1121)(915,1120)(916,1119)(917,1118)(918,1117)(919,1116)(920,1115)(921,1114)(922,1113)(923,1112)(924,1111)(925,1110)(926,1109)(927,1108)(928,1107)(929,1106)(930,1105)(931,1104)(932,1103)(933,1102)(934,1101)(935,1100)(936,1099)(937,1098)(938,1097)(939,1096)(940,1095)(941,1094)(942,1093)(943,1092)(944,1091)(945,1090)(946,1089)(947,1088)(948,1087)(949,1086)(950,1085)(951,1084)(952,1083)(953,1082)(954,1081)(955,1080)(956,1079)(957,1078)(958,1077)(959,1076)(960,1075)(961,1074)(962,1073)(963,1072)(964,1071)(965,1070)(966,1069)(967,1068)(968,1067)(969,1066)(970,1065)(971,1064)(972,1063)(973,1062)(974,1061)(975,1060)(976,1059)(977,1058)(978,1057)(979,1056)(980,1055)(981,1054)(982,1053)(983,1052)(984,1051)(985,1050)(986,1049)(987,1048)(988,1047)(989,1046)(990,1045)(991,1044)(992,1043)(993,1042)(994,1041)(995,1040)(996,1039)(997,1038)(998,1037)(999,1036)(1000,1035)(1001,1034)(1002,1033)(1003,1032)(1004,1031)(1005,1030)(1006,1029)(1007,1028)(1008,1027)(1009,1026)(1010,1025)(1011,1024)(1012,1023)(1013,1022)(1014,1021)(1015,1020)(1016,1019)(1017,1018)
Polycyclic presentation:
2^3,2017|a^2=c,b^2=c,b^a=bc,d^b=d^2016
Conjugacy classes & character table
4037 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16136, 11);
Finite Group Databasebeta