← Prev (#30685350) Next (#30685352) →
D8548 #30685351
Aliases
Splittings
Subgroups
16 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 2141 points:
(1,2,3,4)(5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2070,2071,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141);(2,4)(6,2141)(7,2140)(8,2139)(9,2138)(10,2137)(11,2136)(12,2135)(13,2134)(14,2133)(15,2132)(16,2131)(17,2130)(18,2129)(19,2128)(20,2127)(21,2126)(22,2125)(23,2124)(24,2123)(25,2122)(26,2121)(27,2120)(28,2119)(29,2118)(30,2117)(31,2116)(32,2115)(33,2114)(34,2113)(35,2112)(36,2111)(37,2110)(38,2109)(39,2108)(40,2107)(41,2106)(42,2105)(43,2104)(44,2103)(45,2102)(46,2101)(47,2100)(48,2099)(49,2098)(50,2097)(51,2096)(52,2095)(53,2094)(54,2093)(55,2092)(56,2091)(57,2090)(58,2089)(59,2088)(60,2087)(61,2086)(62,2085)(63,2084)(64,2083)(65,2082)(66,2081)(67,2080)(68,2079)(69,2078)(70,2077)(71,2076)(72,2075)(73,2074)(74,2073)(75,2072)(76,2071)(77,2070)(78,2069)(79,2068)(80,2067)(81,2066)(82,2065)(83,2064)(84,2063)(85,2062)(86,2061)(87,2060)(88,2059)(89,2058)(90,2057)(91,2056)(92,2055)(93,2054)(94,2053)(95,2052)(96,2051)(97,2050)(98,2049)(99,2048)(100,2047)(101,2046)(102,2045)(103,2044)(104,2043)(105,2042)(106,2041)(107,2040)(108,2039)(109,2038)(110,2037)(111,2036)(112,2035)(113,2034)(114,2033)(115,2032)(116,2031)(117,2030)(118,2029)(119,2028)(120,2027)(121,2026)(122,2025)(123,2024)(124,2023)(125,2022)(126,2021)(127,2020)(128,2019)(129,2018)(130,2017)(131,2016)(132,2015)(133,2014)(134,2013)(135,2012)(136,2011)(137,2010)(138,2009)(139,2008)(140,2007)(141,2006)(142,2005)(143,2004)(144,2003)(145,2002)(146,2001)(147,2000)(148,1999)(149,1998)(150,1997)(151,1996)(152,1995)(153,1994)(154,1993)(155,1992)(156,1991)(157,1990)(158,1989)(159,1988)(160,1987)(161,1986)(162,1985)(163,1984)(164,1983)(165,1982)(166,1981)(167,1980)(168,1979)(169,1978)(170,1977)(171,1976)(172,1975)(173,1974)(174,1973)(175,1972)(176,1971)(177,1970)(178,1969)(179,1968)(180,1967)(181,1966)(182,1965)(183,1964)(184,1963)(185,1962)(186,1961)(187,1960)(188,1959)(189,1958)(190,1957)(191,1956)(192,1955)(193,1954)(194,1953)(195,1952)(196,1951)(197,1950)(198,1949)(199,1948)(200,1947)(201,1946)(202,1945)(203,1944)(204,1943)(205,1942)(206,1941)(207,1940)(208,1939)(209,1938)(210,1937)(211,1936)(212,1935)(213,1934)(214,1933)(215,1932)(216,1931)(217,1930)(218,1929)(219,1928)(220,1927)(221,1926)(222,1925)(223,1924)(224,1923)(225,1922)(226,1921)(227,1920)(228,1919)(229,1918)(230,1917)(231,1916)(232,1915)(233,1914)(234,1913)(235,1912)(236,1911)(237,1910)(238,1909)(239,1908)(240,1907)(241,1906)(242,1905)(243,1904)(244,1903)(245,1902)(246,1901)(247,1900)(248,1899)(249,1898)(250,1897)(251,1896)(252,1895)(253,1894)(254,1893)(255,1892)(256,1891)(257,1890)(258,1889)(259,1888)(260,1887)(261,1886)(262,1885)(263,1884)(264,1883)(265,1882)(266,1881)(267,1880)(268,1879)(269,1878)(270,1877)(271,1876)(272,1875)(273,1874)(274,1873)(275,1872)(276,1871)(277,1870)(278,1869)(279,1868)(280,1867)(281,1866)(282,1865)(283,1864)(284,1863)(285,1862)(286,1861)(287,1860)(288,1859)(289,1858)(290,1857)(291,1856)(292,1855)(293,1854)(294,1853)(295,1852)(296,1851)(297,1850)(298,1849)(299,1848)(300,1847)(301,1846)(302,1845)(303,1844)(304,1843)(305,1842)(306,1841)(307,1840)(308,1839)(309,1838)(310,1837)(311,1836)(312,1835)(313,1834)(314,1833)(315,1832)(316,1831)(317,1830)(318,1829)(319,1828)(320,1827)(321,1826)(322,1825)(323,1824)(324,1823)(325,1822)(326,1821)(327,1820)(328,1819)(329,1818)(330,1817)(331,1816)(332,1815)(333,1814)(334,1813)(335,1812)(336,1811)(337,1810)(338,1809)(339,1808)(340,1807)(341,1806)(342,1805)(343,1804)(344,1803)(345,1802)(346,1801)(347,1800)(348,1799)(349,1798)(350,1797)(351,1796)(352,1795)(353,1794)(354,1793)(355,1792)(356,1791)(357,1790)(358,1789)(359,1788)(360,1787)(361,1786)(362,1785)(363,1784)(364,1783)(365,1782)(366,1781)(367,1780)(368,1779)(369,1778)(370,1777)(371,1776)(372,1775)(373,1774)(374,1773)(375,1772)(376,1771)(377,1770)(378,1769)(379,1768)(380,1767)(381,1766)(382,1765)(383,1764)(384,1763)(385,1762)(386,1761)(387,1760)(388,1759)(389,1758)(390,1757)(391,1756)(392,1755)(393,1754)(394,1753)(395,1752)(396,1751)(397,1750)(398,1749)(399,1748)(400,1747)(401,1746)(402,1745)(403,1744)(404,1743)(405,1742)(406,1741)(407,1740)(408,1739)(409,1738)(410,1737)(411,1736)(412,1735)(413,1734)(414,1733)(415,1732)(416,1731)(417,1730)(418,1729)(419,1728)(420,1727)(421,1726)(422,1725)(423,1724)(424,1723)(425,1722)(426,1721)(427,1720)(428,1719)(429,1718)(430,1717)(431,1716)(432,1715)(433,1714)(434,1713)(435,1712)(436,1711)(437,1710)(438,1709)(439,1708)(440,1707)(441,1706)(442,1705)(443,1704)(444,1703)(445,1702)(446,1701)(447,1700)(448,1699)(449,1698)(450,1697)(451,1696)(452,1695)(453,1694)(454,1693)(455,1692)(456,1691)(457,1690)(458,1689)(459,1688)(460,1687)(461,1686)(462,1685)(463,1684)(464,1683)(465,1682)(466,1681)(467,1680)(468,1679)(469,1678)(470,1677)(471,1676)(472,1675)(473,1674)(474,1673)(475,1672)(476,1671)(477,1670)(478,1669)(479,1668)(480,1667)(481,1666)(482,1665)(483,1664)(484,1663)(485,1662)(486,1661)(487,1660)(488,1659)(489,1658)(490,1657)(491,1656)(492,1655)(493,1654)(494,1653)(495,1652)(496,1651)(497,1650)(498,1649)(499,1648)(500,1647)(501,1646)(502,1645)(503,1644)(504,1643)(505,1642)(506,1641)(507,1640)(508,1639)(509,1638)(510,1637)(511,1636)(512,1635)(513,1634)(514,1633)(515,1632)(516,1631)(517,1630)(518,1629)(519,1628)(520,1627)(521,1626)(522,1625)(523,1624)(524,1623)(525,1622)(526,1621)(527,1620)(528,1619)(529,1618)(530,1617)(531,1616)(532,1615)(533,1614)(534,1613)(535,1612)(536,1611)(537,1610)(538,1609)(539,1608)(540,1607)(541,1606)(542,1605)(543,1604)(544,1603)(545,1602)(546,1601)(547,1600)(548,1599)(549,1598)(550,1597)(551,1596)(552,1595)(553,1594)(554,1593)(555,1592)(556,1591)(557,1590)(558,1589)(559,1588)(560,1587)(561,1586)(562,1585)(563,1584)(564,1583)(565,1582)(566,1581)(567,1580)(568,1579)(569,1578)(570,1577)(571,1576)(572,1575)(573,1574)(574,1573)(575,1572)(576,1571)(577,1570)(578,1569)(579,1568)(580,1567)(581,1566)(582,1565)(583,1564)(584,1563)(585,1562)(586,1561)(587,1560)(588,1559)(589,1558)(590,1557)(591,1556)(592,1555)(593,1554)(594,1553)(595,1552)(596,1551)(597,1550)(598,1549)(599,1548)(600,1547)(601,1546)(602,1545)(603,1544)(604,1543)(605,1542)(606,1541)(607,1540)(608,1539)(609,1538)(610,1537)(611,1536)(612,1535)(613,1534)(614,1533)(615,1532)(616,1531)(617,1530)(618,1529)(619,1528)(620,1527)(621,1526)(622,1525)(623,1524)(624,1523)(625,1522)(626,1521)(627,1520)(628,1519)(629,1518)(630,1517)(631,1516)(632,1515)(633,1514)(634,1513)(635,1512)(636,1511)(637,1510)(638,1509)(639,1508)(640,1507)(641,1506)(642,1505)(643,1504)(644,1503)(645,1502)(646,1501)(647,1500)(648,1499)(649,1498)(650,1497)(651,1496)(652,1495)(653,1494)(654,1493)(655,1492)(656,1491)(657,1490)(658,1489)(659,1488)(660,1487)(661,1486)(662,1485)(663,1484)(664,1483)(665,1482)(666,1481)(667,1480)(668,1479)(669,1478)(670,1477)(671,1476)(672,1475)(673,1474)(674,1473)(675,1472)(676,1471)(677,1470)(678,1469)(679,1468)(680,1467)(681,1466)(682,1465)(683,1464)(684,1463)(685,1462)(686,1461)(687,1460)(688,1459)(689,1458)(690,1457)(691,1456)(692,1455)(693,1454)(694,1453)(695,1452)(696,1451)(697,1450)(698,1449)(699,1448)(700,1447)(701,1446)(702,1445)(703,1444)(704,1443)(705,1442)(706,1441)(707,1440)(708,1439)(709,1438)(710,1437)(711,1436)(712,1435)(713,1434)(714,1433)(715,1432)(716,1431)(717,1430)(718,1429)(719,1428)(720,1427)(721,1426)(722,1425)(723,1424)(724,1423)(725,1422)(726,1421)(727,1420)(728,1419)(729,1418)(730,1417)(731,1416)(732,1415)(733,1414)(734,1413)(735,1412)(736,1411)(737,1410)(738,1409)(739,1408)(740,1407)(741,1406)(742,1405)(743,1404)(744,1403)(745,1402)(746,1401)(747,1400)(748,1399)(749,1398)(750,1397)(751,1396)(752,1395)(753,1394)(754,1393)(755,1392)(756,1391)(757,1390)(758,1389)(759,1388)(760,1387)(761,1386)(762,1385)(763,1384)(764,1383)(765,1382)(766,1381)(767,1380)(768,1379)(769,1378)(770,1377)(771,1376)(772,1375)(773,1374)(774,1373)(775,1372)(776,1371)(777,1370)(778,1369)(779,1368)(780,1367)(781,1366)(782,1365)(783,1364)(784,1363)(785,1362)(786,1361)(787,1360)(788,1359)(789,1358)(790,1357)(791,1356)(792,1355)(793,1354)(794,1353)(795,1352)(796,1351)(797,1350)(798,1349)(799,1348)(800,1347)(801,1346)(802,1345)(803,1344)(804,1343)(805,1342)(806,1341)(807,1340)(808,1339)(809,1338)(810,1337)(811,1336)(812,1335)(813,1334)(814,1333)(815,1332)(816,1331)(817,1330)(818,1329)(819,1328)(820,1327)(821,1326)(822,1325)(823,1324)(824,1323)(825,1322)(826,1321)(827,1320)(828,1319)(829,1318)(830,1317)(831,1316)(832,1315)(833,1314)(834,1313)(835,1312)(836,1311)(837,1310)(838,1309)(839,1308)(840,1307)(841,1306)(842,1305)(843,1304)(844,1303)(845,1302)(846,1301)(847,1300)(848,1299)(849,1298)(850,1297)(851,1296)(852,1295)(853,1294)(854,1293)(855,1292)(856,1291)(857,1290)(858,1289)(859,1288)(860,1287)(861,1286)(862,1285)(863,1284)(864,1283)(865,1282)(866,1281)(867,1280)(868,1279)(869,1278)(870,1277)(871,1276)(872,1275)(873,1274)(874,1273)(875,1272)(876,1271)(877,1270)(878,1269)(879,1268)(880,1267)(881,1266)(882,1265)(883,1264)(884,1263)(885,1262)(886,1261)(887,1260)(888,1259)(889,1258)(890,1257)(891,1256)(892,1255)(893,1254)(894,1253)(895,1252)(896,1251)(897,1250)(898,1249)(899,1248)(900,1247)(901,1246)(902,1245)(903,1244)(904,1243)(905,1242)(906,1241)(907,1240)(908,1239)(909,1238)(910,1237)(911,1236)(912,1235)(913,1234)(914,1233)(915,1232)(916,1231)(917,1230)(918,1229)(919,1228)(920,1227)(921,1226)(922,1225)(923,1224)(924,1223)(925,1222)(926,1221)(927,1220)(928,1219)(929,1218)(930,1217)(931,1216)(932,1215)(933,1214)(934,1213)(935,1212)(936,1211)(937,1210)(938,1209)(939,1208)(940,1207)(941,1206)(942,1205)(943,1204)(944,1203)(945,1202)(946,1201)(947,1200)(948,1199)(949,1198)(950,1197)(951,1196)(952,1195)(953,1194)(954,1193)(955,1192)(956,1191)(957,1190)(958,1189)(959,1188)(960,1187)(961,1186)(962,1185)(963,1184)(964,1183)(965,1182)(966,1181)(967,1180)(968,1179)(969,1178)(970,1177)(971,1176)(972,1175)(973,1174)(974,1173)(975,1172)(976,1171)(977,1170)(978,1169)(979,1168)(980,1167)(981,1166)(982,1165)(983,1164)(984,1163)(985,1162)(986,1161)(987,1160)(988,1159)(989,1158)(990,1157)(991,1156)(992,1155)(993,1154)(994,1153)(995,1152)(996,1151)(997,1150)(998,1149)(999,1148)(1000,1147)(1001,1146)(1002,1145)(1003,1144)(1004,1143)(1005,1142)(1006,1141)(1007,1140)(1008,1139)(1009,1138)(1010,1137)(1011,1136)(1012,1135)(1013,1134)(1014,1133)(1015,1132)(1016,1131)(1017,1130)(1018,1129)(1019,1128)(1020,1127)(1021,1126)(1022,1125)(1023,1124)(1024,1123)(1025,1122)(1026,1121)(1027,1120)(1028,1119)(1029,1118)(1030,1117)(1031,1116)(1032,1115)(1033,1114)(1034,1113)(1035,1112)(1036,1111)(1037,1110)(1038,1109)(1039,1108)(1040,1107)(1041,1106)(1042,1105)(1043,1104)(1044,1103)(1045,1102)(1046,1101)(1047,1100)(1048,1099)(1049,1098)(1050,1097)(1051,1096)(1052,1095)(1053,1094)(1054,1093)(1055,1092)(1056,1091)(1057,1090)(1058,1089)(1059,1088)(1060,1087)(1061,1086)(1062,1085)(1063,1084)(1064,1083)(1065,1082)(1066,1081)(1067,1080)(1068,1079)(1069,1078)(1070,1077)(1071,1076)(1072,1075)(1073,1074)
Polycyclic presentation:
2^3,2137|b^a=bc,d^a=d^2136,d^b=d^2136
Conjugacy classes & character table
4277 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17096, 10);
Finite Group Databasebeta