Finite Group Databasebeta

← Prev (#72295568) Next (#72295570) →

C2×D15127 #72295569

order60508
automorphism?
homologyAbelianization (H1) = C22 · Schur multiplier (H2) = C2

Aliases

dihedralD30254
direct productC2×D15127

Splittings

Fitting, socleC2×C7×C2161 ⋊ C2
derived, HallC7×C2161 ⋊ C22
SylowC2161 ⋊ C2×D7
SylowC7 ⋊ C2×D2161

Subgroups

subgroupG/H
center, hypercenterC2D15127
commutator, cosocle, hypocenterC7×C2161C22
FrattiniC1G
Fitting, socleC2×C7×C2161C2
LCSG ▷ C7×C2161
UCSC1 ◁ C2

20 conjugacy classes of subgroups.

Full subgroup data →

Presentation

minimal degreeμ(G) = 2170
transitive degreeμt(G) = 30254

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

Conjugacy classes & character table

15130 conjugacy classes. The character table is too large to display.

GAP

Past the SmallGroups library coverage — no SmallGroups id. Construct it from a minimal faithful permutation representation:

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