← Prev (#32913590) Next (#32913592) →
D9188 #32913591
Aliases
Splittings
Subgroups
16 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 2301 points:
(1,2,3,4)(5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2070,2071,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,2180,2181,2182,2183,2184,2185,2186,2187,2188,2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,2217,2218,2219,2220,2221,2222,2223,2224,2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2236,2237,2238,2239,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,2253,2254,2255,2256,2257,2258,2259,2260,2261,2262,2263,2264,2265,2266,2267,2268,2269,2270,2271,2272,2273,2274,2275,2276,2277,2278,2279,2280,2281,2282,2283,2284,2285,2286,2287,2288,2289,2290,2291,2292,2293,2294,2295,2296,2297,2298,2299,2300,2301);(2,4)(6,2301)(7,2300)(8,2299)(9,2298)(10,2297)(11,2296)(12,2295)(13,2294)(14,2293)(15,2292)(16,2291)(17,2290)(18,2289)(19,2288)(20,2287)(21,2286)(22,2285)(23,2284)(24,2283)(25,2282)(26,2281)(27,2280)(28,2279)(29,2278)(30,2277)(31,2276)(32,2275)(33,2274)(34,2273)(35,2272)(36,2271)(37,2270)(38,2269)(39,2268)(40,2267)(41,2266)(42,2265)(43,2264)(44,2263)(45,2262)(46,2261)(47,2260)(48,2259)(49,2258)(50,2257)(51,2256)(52,2255)(53,2254)(54,2253)(55,2252)(56,2251)(57,2250)(58,2249)(59,2248)(60,2247)(61,2246)(62,2245)(63,2244)(64,2243)(65,2242)(66,2241)(67,2240)(68,2239)(69,2238)(70,2237)(71,2236)(72,2235)(73,2234)(74,2233)(75,2232)(76,2231)(77,2230)(78,2229)(79,2228)(80,2227)(81,2226)(82,2225)(83,2224)(84,2223)(85,2222)(86,2221)(87,2220)(88,2219)(89,2218)(90,2217)(91,2216)(92,2215)(93,2214)(94,2213)(95,2212)(96,2211)(97,2210)(98,2209)(99,2208)(100,2207)(101,2206)(102,2205)(103,2204)(104,2203)(105,2202)(106,2201)(107,2200)(108,2199)(109,2198)(110,2197)(111,2196)(112,2195)(113,2194)(114,2193)(115,2192)(116,2191)(117,2190)(118,2189)(119,2188)(120,2187)(121,2186)(122,2185)(123,2184)(124,2183)(125,2182)(126,2181)(127,2180)(128,2179)(129,2178)(130,2177)(131,2176)(132,2175)(133,2174)(134,2173)(135,2172)(136,2171)(137,2170)(138,2169)(139,2168)(140,2167)(141,2166)(142,2165)(143,2164)(144,2163)(145,2162)(146,2161)(147,2160)(148,2159)(149,2158)(150,2157)(151,2156)(152,2155)(153,2154)(154,2153)(155,2152)(156,2151)(157,2150)(158,2149)(159,2148)(160,2147)(161,2146)(162,2145)(163,2144)(164,2143)(165,2142)(166,2141)(167,2140)(168,2139)(169,2138)(170,2137)(171,2136)(172,2135)(173,2134)(174,2133)(175,2132)(176,2131)(177,2130)(178,2129)(179,2128)(180,2127)(181,2126)(182,2125)(183,2124)(184,2123)(185,2122)(186,2121)(187,2120)(188,2119)(189,2118)(190,2117)(191,2116)(192,2115)(193,2114)(194,2113)(195,2112)(196,2111)(197,2110)(198,2109)(199,2108)(200,2107)(201,2106)(202,2105)(203,2104)(204,2103)(205,2102)(206,2101)(207,2100)(208,2099)(209,2098)(210,2097)(211,2096)(212,2095)(213,2094)(214,2093)(215,2092)(216,2091)(217,2090)(218,2089)(219,2088)(220,2087)(221,2086)(222,2085)(223,2084)(224,2083)(225,2082)(226,2081)(227,2080)(228,2079)(229,2078)(230,2077)(231,2076)(232,2075)(233,2074)(234,2073)(235,2072)(236,2071)(237,2070)(238,2069)(239,2068)(240,2067)(241,2066)(242,2065)(243,2064)(244,2063)(245,2062)(246,2061)(247,2060)(248,2059)(249,2058)(250,2057)(251,2056)(252,2055)(253,2054)(254,2053)(255,2052)(256,2051)(257,2050)(258,2049)(259,2048)(260,2047)(261,2046)(262,2045)(263,2044)(264,2043)(265,2042)(266,2041)(267,2040)(268,2039)(269,2038)(270,2037)(271,2036)(272,2035)(273,2034)(274,2033)(275,2032)(276,2031)(277,2030)(278,2029)(279,2028)(280,2027)(281,2026)(282,2025)(283,2024)(284,2023)(285,2022)(286,2021)(287,2020)(288,2019)(289,2018)(290,2017)(291,2016)(292,2015)(293,2014)(294,2013)(295,2012)(296,2011)(297,2010)(298,2009)(299,2008)(300,2007)(301,2006)(302,2005)(303,2004)(304,2003)(305,2002)(306,2001)(307,2000)(308,1999)(309,1998)(310,1997)(311,1996)(312,1995)(313,1994)(314,1993)(315,1992)(316,1991)(317,1990)(318,1989)(319,1988)(320,1987)(321,1986)(322,1985)(323,1984)(324,1983)(325,1982)(326,1981)(327,1980)(328,1979)(329,1978)(330,1977)(331,1976)(332,1975)(333,1974)(334,1973)(335,1972)(336,1971)(337,1970)(338,1969)(339,1968)(340,1967)(341,1966)(342,1965)(343,1964)(344,1963)(345,1962)(346,1961)(347,1960)(348,1959)(349,1958)(350,1957)(351,1956)(352,1955)(353,1954)(354,1953)(355,1952)(356,1951)(357,1950)(358,1949)(359,1948)(360,1947)(361,1946)(362,1945)(363,1944)(364,1943)(365,1942)(366,1941)(367,1940)(368,1939)(369,1938)(370,1937)(371,1936)(372,1935)(373,1934)(374,1933)(375,1932)(376,1931)(377,1930)(378,1929)(379,1928)(380,1927)(381,1926)(382,1925)(383,1924)(384,1923)(385,1922)(386,1921)(387,1920)(388,1919)(389,1918)(390,1917)(391,1916)(392,1915)(393,1914)(394,1913)(395,1912)(396,1911)(397,1910)(398,1909)(399,1908)(400,1907)(401,1906)(402,1905)(403,1904)(404,1903)(405,1902)(406,1901)(407,1900)(408,1899)(409,1898)(410,1897)(411,1896)(412,1895)(413,1894)(414,1893)(415,1892)(416,1891)(417,1890)(418,1889)(419,1888)(420,1887)(421,1886)(422,1885)(423,1884)(424,1883)(425,1882)(426,1881)(427,1880)(428,1879)(429,1878)(430,1877)(431,1876)(432,1875)(433,1874)(434,1873)(435,1872)(436,1871)(437,1870)(438,1869)(439,1868)(440,1867)(441,1866)(442,1865)(443,1864)(444,1863)(445,1862)(446,1861)(447,1860)(448,1859)(449,1858)(450,1857)(451,1856)(452,1855)(453,1854)(454,1853)(455,1852)(456,1851)(457,1850)(458,1849)(459,1848)(460,1847)(461,1846)(462,1845)(463,1844)(464,1843)(465,1842)(466,1841)(467,1840)(468,1839)(469,1838)(470,1837)(471,1836)(472,1835)(473,1834)(474,1833)(475,1832)(476,1831)(477,1830)(478,1829)(479,1828)(480,1827)(481,1826)(482,1825)(483,1824)(484,1823)(485,1822)(486,1821)(487,1820)(488,1819)(489,1818)(490,1817)(491,1816)(492,1815)(493,1814)(494,1813)(495,1812)(496,1811)(497,1810)(498,1809)(499,1808)(500,1807)(501,1806)(502,1805)(503,1804)(504,1803)(505,1802)(506,1801)(507,1800)(508,1799)(509,1798)(510,1797)(511,1796)(512,1795)(513,1794)(514,1793)(515,1792)(516,1791)(517,1790)(518,1789)(519,1788)(520,1787)(521,1786)(522,1785)(523,1784)(524,1783)(525,1782)(526,1781)(527,1780)(528,1779)(529,1778)(530,1777)(531,1776)(532,1775)(533,1774)(534,1773)(535,1772)(536,1771)(537,1770)(538,1769)(539,1768)(540,1767)(541,1766)(542,1765)(543,1764)(544,1763)(545,1762)(546,1761)(547,1760)(548,1759)(549,1758)(550,1757)(551,1756)(552,1755)(553,1754)(554,1753)(555,1752)(556,1751)(557,1750)(558,1749)(559,1748)(560,1747)(561,1746)(562,1745)(563,1744)(564,1743)(565,1742)(566,1741)(567,1740)(568,1739)(569,1738)(570,1737)(571,1736)(572,1735)(573,1734)(574,1733)(575,1732)(576,1731)(577,1730)(578,1729)(579,1728)(580,1727)(581,1726)(582,1725)(583,1724)(584,1723)(585,1722)(586,1721)(587,1720)(588,1719)(589,1718)(590,1717)(591,1716)(592,1715)(593,1714)(594,1713)(595,1712)(596,1711)(597,1710)(598,1709)(599,1708)(600,1707)(601,1706)(602,1705)(603,1704)(604,1703)(605,1702)(606,1701)(607,1700)(608,1699)(609,1698)(610,1697)(611,1696)(612,1695)(613,1694)(614,1693)(615,1692)(616,1691)(617,1690)(618,1689)(619,1688)(620,1687)(621,1686)(622,1685)(623,1684)(624,1683)(625,1682)(626,1681)(627,1680)(628,1679)(629,1678)(630,1677)(631,1676)(632,1675)(633,1674)(634,1673)(635,1672)(636,1671)(637,1670)(638,1669)(639,1668)(640,1667)(641,1666)(642,1665)(643,1664)(644,1663)(645,1662)(646,1661)(647,1660)(648,1659)(649,1658)(650,1657)(651,1656)(652,1655)(653,1654)(654,1653)(655,1652)(656,1651)(657,1650)(658,1649)(659,1648)(660,1647)(661,1646)(662,1645)(663,1644)(664,1643)(665,1642)(666,1641)(667,1640)(668,1639)(669,1638)(670,1637)(671,1636)(672,1635)(673,1634)(674,1633)(675,1632)(676,1631)(677,1630)(678,1629)(679,1628)(680,1627)(681,1626)(682,1625)(683,1624)(684,1623)(685,1622)(686,1621)(687,1620)(688,1619)(689,1618)(690,1617)(691,1616)(692,1615)(693,1614)(694,1613)(695,1612)(696,1611)(697,1610)(698,1609)(699,1608)(700,1607)(701,1606)(702,1605)(703,1604)(704,1603)(705,1602)(706,1601)(707,1600)(708,1599)(709,1598)(710,1597)(711,1596)(712,1595)(713,1594)(714,1593)(715,1592)(716,1591)(717,1590)(718,1589)(719,1588)(720,1587)(721,1586)(722,1585)(723,1584)(724,1583)(725,1582)(726,1581)(727,1580)(728,1579)(729,1578)(730,1577)(731,1576)(732,1575)(733,1574)(734,1573)(735,1572)(736,1571)(737,1570)(738,1569)(739,1568)(740,1567)(741,1566)(742,1565)(743,1564)(744,1563)(745,1562)(746,1561)(747,1560)(748,1559)(749,1558)(750,1557)(751,1556)(752,1555)(753,1554)(754,1553)(755,1552)(756,1551)(757,1550)(758,1549)(759,1548)(760,1547)(761,1546)(762,1545)(763,1544)(764,1543)(765,1542)(766,1541)(767,1540)(768,1539)(769,1538)(770,1537)(771,1536)(772,1535)(773,1534)(774,1533)(775,1532)(776,1531)(777,1530)(778,1529)(779,1528)(780,1527)(781,1526)(782,1525)(783,1524)(784,1523)(785,1522)(786,1521)(787,1520)(788,1519)(789,1518)(790,1517)(791,1516)(792,1515)(793,1514)(794,1513)(795,1512)(796,1511)(797,1510)(798,1509)(799,1508)(800,1507)(801,1506)(802,1505)(803,1504)(804,1503)(805,1502)(806,1501)(807,1500)(808,1499)(809,1498)(810,1497)(811,1496)(812,1495)(813,1494)(814,1493)(815,1492)(816,1491)(817,1490)(818,1489)(819,1488)(820,1487)(821,1486)(822,1485)(823,1484)(824,1483)(825,1482)(826,1481)(827,1480)(828,1479)(829,1478)(830,1477)(831,1476)(832,1475)(833,1474)(834,1473)(835,1472)(836,1471)(837,1470)(838,1469)(839,1468)(840,1467)(841,1466)(842,1465)(843,1464)(844,1463)(845,1462)(846,1461)(847,1460)(848,1459)(849,1458)(850,1457)(851,1456)(852,1455)(853,1454)(854,1453)(855,1452)(856,1451)(857,1450)(858,1449)(859,1448)(860,1447)(861,1446)(862,1445)(863,1444)(864,1443)(865,1442)(866,1441)(867,1440)(868,1439)(869,1438)(870,1437)(871,1436)(872,1435)(873,1434)(874,1433)(875,1432)(876,1431)(877,1430)(878,1429)(879,1428)(880,1427)(881,1426)(882,1425)(883,1424)(884,1423)(885,1422)(886,1421)(887,1420)(888,1419)(889,1418)(890,1417)(891,1416)(892,1415)(893,1414)(894,1413)(895,1412)(896,1411)(897,1410)(898,1409)(899,1408)(900,1407)(901,1406)(902,1405)(903,1404)(904,1403)(905,1402)(906,1401)(907,1400)(908,1399)(909,1398)(910,1397)(911,1396)(912,1395)(913,1394)(914,1393)(915,1392)(916,1391)(917,1390)(918,1389)(919,1388)(920,1387)(921,1386)(922,1385)(923,1384)(924,1383)(925,1382)(926,1381)(927,1380)(928,1379)(929,1378)(930,1377)(931,1376)(932,1375)(933,1374)(934,1373)(935,1372)(936,1371)(937,1370)(938,1369)(939,1368)(940,1367)(941,1366)(942,1365)(943,1364)(944,1363)(945,1362)(946,1361)(947,1360)(948,1359)(949,1358)(950,1357)(951,1356)(952,1355)(953,1354)(954,1353)(955,1352)(956,1351)(957,1350)(958,1349)(959,1348)(960,1347)(961,1346)(962,1345)(963,1344)(964,1343)(965,1342)(966,1341)(967,1340)(968,1339)(969,1338)(970,1337)(971,1336)(972,1335)(973,1334)(974,1333)(975,1332)(976,1331)(977,1330)(978,1329)(979,1328)(980,1327)(981,1326)(982,1325)(983,1324)(984,1323)(985,1322)(986,1321)(987,1320)(988,1319)(989,1318)(990,1317)(991,1316)(992,1315)(993,1314)(994,1313)(995,1312)(996,1311)(997,1310)(998,1309)(999,1308)(1000,1307)(1001,1306)(1002,1305)(1003,1304)(1004,1303)(1005,1302)(1006,1301)(1007,1300)(1008,1299)(1009,1298)(1010,1297)(1011,1296)(1012,1295)(1013,1294)(1014,1293)(1015,1292)(1016,1291)(1017,1290)(1018,1289)(1019,1288)(1020,1287)(1021,1286)(1022,1285)(1023,1284)(1024,1283)(1025,1282)(1026,1281)(1027,1280)(1028,1279)(1029,1278)(1030,1277)(1031,1276)(1032,1275)(1033,1274)(1034,1273)(1035,1272)(1036,1271)(1037,1270)(1038,1269)(1039,1268)(1040,1267)(1041,1266)(1042,1265)(1043,1264)(1044,1263)(1045,1262)(1046,1261)(1047,1260)(1048,1259)(1049,1258)(1050,1257)(1051,1256)(1052,1255)(1053,1254)(1054,1253)(1055,1252)(1056,1251)(1057,1250)(1058,1249)(1059,1248)(1060,1247)(1061,1246)(1062,1245)(1063,1244)(1064,1243)(1065,1242)(1066,1241)(1067,1240)(1068,1239)(1069,1238)(1070,1237)(1071,1236)(1072,1235)(1073,1234)(1074,1233)(1075,1232)(1076,1231)(1077,1230)(1078,1229)(1079,1228)(1080,1227)(1081,1226)(1082,1225)(1083,1224)(1084,1223)(1085,1222)(1086,1221)(1087,1220)(1088,1219)(1089,1218)(1090,1217)(1091,1216)(1092,1215)(1093,1214)(1094,1213)(1095,1212)(1096,1211)(1097,1210)(1098,1209)(1099,1208)(1100,1207)(1101,1206)(1102,1205)(1103,1204)(1104,1203)(1105,1202)(1106,1201)(1107,1200)(1108,1199)(1109,1198)(1110,1197)(1111,1196)(1112,1195)(1113,1194)(1114,1193)(1115,1192)(1116,1191)(1117,1190)(1118,1189)(1119,1188)(1120,1187)(1121,1186)(1122,1185)(1123,1184)(1124,1183)(1125,1182)(1126,1181)(1127,1180)(1128,1179)(1129,1178)(1130,1177)(1131,1176)(1132,1175)(1133,1174)(1134,1173)(1135,1172)(1136,1171)(1137,1170)(1138,1169)(1139,1168)(1140,1167)(1141,1166)(1142,1165)(1143,1164)(1144,1163)(1145,1162)(1146,1161)(1147,1160)(1148,1159)(1149,1158)(1150,1157)(1151,1156)(1152,1155)(1153,1154)
Polycyclic presentation:
2^3,2297|b^a=bc,d^a=d^2296,d^b=d^2296
Conjugacy classes & character table
4597 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18376, 10);
Finite Group Databasebeta