Finite Group Databasebeta

← Prev (#72289484) Next (#72289486) →

C2×D13097 #72289485

order52388
automorphism?
homologyAbelianization (H1) = C22 · Schur multiplier (H2) = C2

Aliases

dihedralD26194
direct productC2×D13097

Splittings

Fitting, socleC2×C7×C1871 ⋊ C2
derived, HallC7×C1871 ⋊ C22
SylowC1871 ⋊ C2×D7
SylowC7 ⋊ C2×D1871

Subgroups

subgroupG/H
center, hypercenterC2D13097
commutator, cosocle, hypocenterC7×C1871C22
FrattiniC1G
Fitting, socleC2×C7×C1871C2
LCSG ▷ C7×C1871
UCSC1 ◁ C2

20 conjugacy classes of subgroups.

Full subgroup data →

Presentation

minimal degreeμ(G) = 1880
transitive degreeμt(G) = 26194

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

Conjugacy classes & character table

13100 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), (4,9)(5,8)(6,7)(11,1880)(12,1879)(13,1878)(14,1877)(15,1876)(16,1875)(17,1874)(18,1873)(19,1872)(20,1871)(21,1870)(22,1869)(23,1868)(24,1867)(25,1866)(26,1865)(27,1864)(28,1863)(29,1862)(30,1861)(31,1860)(32,1859)(33,1858)(34,1857)(35,1856)(36,1855)(37,1854)(38,1853)(39,1852)(40,1851)(41,1850)(42,1849)(43,1848)(44,1847)(45,1846)(46,1845)(47,1844)(48,1843)(49,1842)(50,1841)(51,1840)(52,1839)(53,1838)(54,1837)(55,1836)(56,1835)(57,1834)(58,1833)(59,1832)(60,1831)(61,1830)(62,1829)(63,1828)(64,1827)(65,1826)(66,1825)(67,1824)(68,1823)(69,1822)(70,1821)(71,1820)(72,1819)(73,1818)(74,1817)(75,1816)(76,1815)(77,1814)(78,1813)(79,1812)(80,1811)(81,1810)(82,1809)(83,1808)(84,1807)(85,1806)(86,1805)(87,1804)(88,1803)(89,1802)(90,1801)(91,1800)(92,1799)(93,1798)(94,1797)(95,1796)(96,1795)(97,1794)(98,1793)(99,1792)(100,1791)(101,1790)(102,1789)(103,1788)(104,1787)(105,1786)(106,1785)(107,1784)(108,1783)(109,1782)(110,1781)(111,1780)(112,1779)(113,1778)(114,1777)(115,1776)(116,1775)(117,1774)(118,1773)(119,1772)(120,1771)(121,1770)(122,1769)(123,1768)(124,1767)(125,1766)(126,1765)(127,1764)(128,1763)(129,1762)(130,1761)(131,1760)(132,1759)(133,1758)(134,1757)(135,1756)(136,1755)(137,1754)(138,1753)(139,1752)(140,1751)(141,1750)(142,1749)(143,1748)(144,1747)(145,1746)(146,1745)(147,1744)(148,1743)(149,1742)(150,1741)(151,1740)(152,1739)(153,1738)(154,1737)(155,1736)(156,1735)(157,1734)(158,1733)(159,1732)(160,1731)(161,1730)(162,1729)(163,1728)(164,1727)(165,1726)(166,1725)(167,1724)(168,1723)(169,1722)(170,1721)(171,1720)(172,1719)(173,1718)(174,1717)(175,1716)(176,1715)(177,1714)(178,1713)(179,1712)(180,1711)(181,1710)(182,1709)(183,1708)(184,1707)(185,1706)(186,1705)(187,1704)(188,1703)(189,1702)(190,1701)(191,1700)(192,1699)(193,1698)(194,1697)(195,1696)(196,1695)(197,1694)(198,1693)(199,1692)(200,1691)(201,1690)(202,1689)(203,1688)(204,1687)(205,1686)(206,1685)(207,1684)(208,1683)(209,1682)(210,1681)(211,1680)(212,1679)(213,1678)(214,1677)(215,1676)(216,1675)(217,1674)(218,1673)(219,1672)(220,1671)(221,1670)(222,1669)(223,1668)(224,1667)(225,1666)(226,1665)(227,1664)(228,1663)(229,1662)(230,1661)(231,1660)(232,1659)(233,1658)(234,1657)(235,1656)(236,1655)(237,1654)(238,1653)(239,1652)(240,1651)(241,1650)(242,1649)(243,1648)(244,1647)(245,1646)(246,1645)(247,1644)(248,1643)(249,1642)(250,1641)(251,1640)(252,1639)(253,1638)(254,1637)(255,1636)(256,1635)(257,1634)(258,1633)(259,1632)(260,1631)(261,1630)(262,1629)(263,1628)(264,1627)(265,1626)(266,1625)(267,1624)(268,1623)(269,1622)(270,1621)(271,1620)(272,1619)(273,1618)(274,1617)(275,1616)(276,1615)(277,1614)(278,1613)(279,1612)(280,1611)(281,1610)(282,1609)(283,1608)(284,1607)(285,1606)(286,1605)(287,1604)(288,1603)(289,1602)(290,1601)(291,1600)(292,1599)(293,1598)(294,1597)(295,1596)(296,1595)(297,1594)(298,1593)(299,1592)(300,1591)(301,1590)(302,1589)(303,1588)(304,1587)(305,1586)(306,1585)(307,1584)(308,1583)(309,1582)(310,1581)(311,1580)(312,1579)(313,1578)(314,1577)(315,1576)(316,1575)(317,1574)(318,1573)(319,1572)(320,1571)(321,1570)(322,1569)(323,1568)(324,1567)(325,1566)(326,1565)(327,1564)(328,1563)(329,1562)(330,1561)(331,1560)(332,1559)(333,1558)(334,1557)(335,1556)(336,1555)(337,1554)(338,1553)(339,1552)(340,1551)(341,1550)(342,1549)(343,1548)(344,1547)(345,1546)(346,1545)(347,1544)(348,1543)(349,1542)(350,1541)(351,1540)(352,1539)(353,1538)(354,1537)(355,1536)(356,1535)(357,1534)(358,1533)(359,1532)(360,1531)(361,1530)(362,1529)(363,1528)(364,1527)(365,1526)(366,1525)(367,1524)(368,1523)(369,1522)(370,1521)(371,1520)(372,1519)(373,1518)(374,1517)(375,1516)(376,1515)(377,1514)(378,1513)(379,1512)(380,1511)(381,1510)(382,1509)(383,1508)(384,1507)(385,1506)(386,1505)(387,1504)(388,1503)(389,1502)(390,1501)(391,1500)(392,1499)(393,1498)(394,1497)(395,1496)(396,1495)(397,1494)(398,1493)(399,1492)(400,1491)(401,1490)(402,1489)(403,1488)(404,1487)(405,1486)(406,1485)(407,1484)(408,1483)(409,1482)(410,1481)(411,1480)(412,1479)(413,1478)(414,1477)(415,1476)(416,1475)(417,1474)(418,1473)(419,1472)(420,1471)(421,1470)(422,1469)(423,1468)(424,1467)(425,1466)(426,1465)(427,1464)(428,1463)(429,1462)(430,1461)(431,1460)(432,1459)(433,1458)(434,1457)(435,1456)(436,1455)(437,1454)(438,1453)(439,1452)(440,1451)(441,1450)(442,1449)(443,1448)(444,1447)(445,1446)(446,1445)(447,1444)(448,1443)(449,1442)(450,1441)(451,1440)(452,1439)(453,1438)(454,1437)(455,1436)(456,1435)(457,1434)(458,1433)(459,1432)(460,1431)(461,1430)(462,1429)(463,1428)(464,1427)(465,1426)(466,1425)(467,1424)(468,1423)(469,1422)(470,1421)(471,1420)(472,1419)(473,1418)(474,1417)(475,1416)(476,1415)(477,1414)(478,1413)(479,1412)(480,1411)(481,1410)(482,1409)(483,1408)(484,1407)(485,1406)(486,1405)(487,1404)(488,1403)(489,1402)(490,1401)(491,1400)(492,1399)(493,1398)(494,1397)(495,1396)(496,1395)(497,1394)(498,1393)(499,1392)(500,1391)(501,1390)(502,1389)(503,1388)(504,1387)(505,1386)(506,1385)(507,1384)(508,1383)(509,1382)(510,1381)(511,1380)(512,1379)(513,1378)(514,1377)(515,1376)(516,1375)(517,1374)(518,1373)(519,1372)(520,1371)(521,1370)(522,1369)(523,1368)(524,1367)(525,1366)(526,1365)(527,1364)(528,1363)(529,1362)(530,1361)(531,1360)(532,1359)(533,1358)(534,1357)(535,1356)(536,1355)(537,1354)(538,1353)(539,1352)(540,1351)(541,1350)(542,1349)(543,1348)(544,1347)(545,1346)(546,1345)(547,1344)(548,1343)(549,1342)(550,1341)(551,1340)(552,1339)(553,1338)(554,1337)(555,1336)(556,1335)(557,1334)(558,1333)(559,1332)(560,1331)(561,1330)(562,1329)(563,1328)(564,1327)(565,1326)(566,1325)(567,1324)(568,1323)(569,1322)(570,1321)(571,1320)(572,1319)(573,1318)(574,1317)(575,1316)(576,1315)(577,1314)(578,1313)(579,1312)(580,1311)(581,1310)(582,1309)(583,1308)(584,1307)(585,1306)(586,1305)(587,1304)(588,1303)(589,1302)(590,1301)(591,1300)(592,1299)(593,1298)(594,1297)(595,1296)(596,1295)(597,1294)(598,1293)(599,1292)(600,1291)(601,1290)(602,1289)(603,1288)(604,1287)(605,1286)(606,1285)(607,1284)(608,1283)(609,1282)(610,1281)(611,1280)(612,1279)(613,1278)(614,1277)(615,1276)(616,1275)(617,1274)(618,1273)(619,1272)(620,1271)(621,1270)(622,1269)(623,1268)(624,1267)(625,1266)(626,1265)(627,1264)(628,1263)(629,1262)(630,1261)(631,1260)(632,1259)(633,1258)(634,1257)(635,1256)(636,1255)(637,1254)(638,1253)(639,1252)(640,1251)(641,1250)(642,1249)(643,1248)(644,1247)(645,1246)(646,1245)(647,1244)(648,1243)(649,1242)(650,1241)(651,1240)(652,1239)(653,1238)(654,1237)(655,1236)(656,1235)(657,1234)(658,1233)(659,1232)(660,1231)(661,1230)(662,1229)(663,1228)(664,1227)(665,1226)(666,1225)(667,1224)(668,1223)(669,1222)(670,1221)(671,1220)(672,1219)(673,1218)(674,1217)(675,1216)(676,1215)(677,1214)(678,1213)(679,1212)(680,1211)(681,1210)(682,1209)(683,1208)(684,1207)(685,1206)(686,1205)(687,1204)(688,1203)(689,1202)(690,1201)(691,1200)(692,1199)(693,1198)(694,1197)(695,1196)(696,1195)(697,1194)(698,1193)(699,1192)(700,1191)(701,1190)(702,1189)(703,1188)(704,1187)(705,1186)(706,1185)(707,1184)(708,1183)(709,1182)(710,1181)(711,1180)(712,1179)(713,1178)(714,1177)(715,1176)(716,1175)(717,1174)(718,1173)(719,1172)(720,1171)(721,1170)(722,1169)(723,1168)(724,1167)(725,1166)(726,1165)(727,1164)(728,1163)(729,1162)(730,1161)(731,1160)(732,1159)(733,1158)(734,1157)(735,1156)(736,1155)(737,1154)(738,1153)(739,1152)(740,1151)(741,1150)(742,1149)(743,1148)(744,1147)(745,1146)(746,1145)(747,1144)(748,1143)(749,1142)(750,1141)(751,1140)(752,1139)(753,1138)(754,1137)(755,1136)(756,1135)(757,1134)(758,1133)(759,1132)(760,1131)(761,1130)(762,1129)(763,1128)(764,1127)(765,1126)(766,1125)(767,1124)(768,1123)(769,1122)(770,1121)(771,1120)(772,1119)(773,1118)(774,1117)(775,1116)(776,1115)(777,1114)(778,1113)(779,1112)(780,1111)(781,1110)(782,1109)(783,1108)(784,1107)(785,1106)(786,1105)(787,1104)(788,1103)(789,1102)(790,1101)(791,1100)(792,1099)(793,1098)(794,1097)(795,1096)(796,1095)(797,1094)(798,1093)(799,1092)(800,1091)(801,1090)(802,1089)(803,1088)(804,1087)(805,1086)(806,1085)(807,1084)(808,1083)(809,1082)(810,1081)(811,1080)(812,1079)(813,1078)(814,1077)(815,1076)(816,1075)(817,1074)(818,1073)(819,1072)(820,1071)(821,1070)(822,1069)(823,1068)(824,1067)(825,1066)(826,1065)(827,1064)(828,1063)(829,1062)(830,1061)(831,1060)(832,1059)(833,1058)(834,1057)(835,1056)(836,1055)(837,1054)(838,1053)(839,1052)(840,1051)(841,1050)(842,1049)(843,1048)(844,1047)(845,1046)(846,1045)(847,1044)(848,1043)(849,1042)(850,1041)(851,1040)(852,1039)(853,1038)(854,1037)(855,1036)(856,1035)(857,1034)(858,1033)(859,1032)(860,1031)(861,1030)(862,1029)(863,1028)(864,1027)(865,1026)(866,1025)(867,1024)(868,1023)(869,1022)(870,1021)(871,1020)(872,1019)(873,1018)(874,1017)(875,1016)(876,1015)(877,1014)(878,1013)(879,1012)(880,1011)(881,1010)(882,1009)(883,1008)(884,1007)(885,1006)(886,1005)(887,1004)(888,1003)(889,1002)(890,1001)(891,1000)(892,999)(893,998)(894,997)(895,996)(896,995)(897,994)(898,993)(899,992)(900,991)(901,990)(902,989)(903,988)(904,987)(905,986)(906,985)(907,984)(908,983)(909,982)(910,981)(911,980)(912,979)(913,978)(914,977)(915,976)(916,975)(917,974)(918,973)(919,972)(920,971)(921,970)(922,969)(923,968)(924,967)(925,966)(926,965)(927,964)(928,963)(929,962)(930,961)(931,960)(932,959)(933,958)(934,957)(935,956)(936,955)(937,954)(938,953)(939,952)(940,951)(941,950)(942,949)(943,948)(944,947)(945,946));