← Prev (#34087287) Next (#34087289) →
Aliases
Splittings
Subgroups
10 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 4911 points:
(1,2)(3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2070,2071,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,2180,2181,2182,2183,2184,2185,2186,2187,2188,2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,2217,2218,2219,2220,2221,2222,2223,2224,2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2236,2237,2238,2239,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,2253,2254,2255,2256,2257,2258,2259,2260,2261,2262,2263,2264,2265,2266,2267,2268,2269,2270,2271,2272,2273,2274,2275,2276,2277,2278,2279,2280,2281,2282,2283,2284,2285,2286,2287,2288,2289,2290,2291,2292,2293,2294,2295,2296,2297,2298,2299,2300,2301,2302,2303,2304,2305,2306,2307,2308,2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,2320,2321,2322,2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,2333,2334,2335,2336,2337,2338,2339,2340,2341,2342,2343,2344,2345,2346,2347,2348,2349,2350,2351,2352,2353,2354,2355,2356,2357,2358,2359,2360,2361,2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,2372,2373,2374,2375,2376,2377,2378,2379,2380,2381,2382,2383,2384,2385,2386,2387,2388,2389,2390,2391,2392,2393,2394,2395,2396,2397,2398,2399,2400,2401,2402,2403,2404,2405,2406,2407,2408,2409,2410,2411,2412,2413,2414,2415,2416,2417,2418,2419,2420,2421,2422,2423,2424,2425,2426,2427,2428,2429,2430,2431,2432,2433,2434,2435,2436,2437,2438,2439,2440,2441,2442,2443,2444,2445,2446,2447,2448,2449,2450,2451,2452,2453,2454,2455,2456,2457,2458,2459,2460,2461,2462,2463,2464,2465,2466,2467,2468,2469,2470,2471,2472,2473,2474,2475,2476,2477,2478,2479,2480,2481,2482,2483,2484,2485,2486,2487,2488,2489,2490,2491,2492,2493,2494,2495,2496,2497,2498,2499,2500,2501,2502,2503,2504,2505,2506,2507,2508,2509,2510,2511,2512,2513,2514,2515,2516,2517,2518,2519,2520,2521,2522,2523,2524,2525,2526,2527,2528,2529,2530,2531,2532,2533,2534,2535,2536,2537,2538,2539,2540,2541,2542,2543,2544,2545,2546,2547,2548,2549,2550,2551,2552,2553,2554,2555,2556,2557,2558,2559,2560,2561,2562,2563,2564,2565,2566,2567,2568,2569,2570,2571,2572,2573,2574,2575,2576,2577,2578,2579,2580,2581,2582,2583,2584,2585,2586,2587,2588,2589,2590,2591,2592,2593,2594,2595,2596,2597,2598,2599,2600,2601,2602,2603,2604,2605,2606,2607,2608,2609,2610,2611,2612,2613,2614,2615,2616,2617,2618,2619,2620,2621,2622,2623,2624,2625,2626,2627,2628,2629,2630,2631,2632,2633,2634,2635,2636,2637,2638,2639,2640,2641,2642,2643,2644,2645,2646,2647,2648,2649,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,2662,2663,2664,2665,2666,2667,2668,2669,2670,2671,2672,2673,2674,2675,2676,2677,2678,2679,2680,2681,2682,2683,2684,2685,2686,2687,2688,2689,2690,2691,2692,2693,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,2705,2706,2707,2708,2709,2710,2711,2712,2713,2714,2715,2716,2717,2718,2719,2720,2721,2722,2723,2724,2725,2726,2727,2728,2729,2730,2731,2732,2733,2734,2735,2736,2737,2738,2739,2740,2741,2742,2743,2744,2745,2746,2747,2748,2749,2750,2751,2752,2753,2754,2755,2756,2757,2758,2759,2760,2761,2762,2763,2764,2765,2766,2767,2768,2769,2770,2771,2772,2773,2774,2775,2776,2777,2778,2779,2780,2781,2782,2783,2784,2785,2786,2787,2788,2789,2790,2791,2792,2793,2794,2795,2796,2797,2798,2799,2800,2801,2802,2803,2804,2805,2806,2807,2808,2809,2810,2811,2812,2813,2814,2815,2816,2817,2818,2819,2820,2821,2822,2823,2824,2825,2826,2827,2828,2829,2830,2831,2832,2833,2834,2835,2836,2837,2838,2839,2840,2841,2842,2843,2844,2845,2846,2847,2848,2849,2850,2851,2852,2853,2854,2855,2856,2857,2858,2859,2860,2861,2862,2863,2864,2865,2866,2867,2868,2869,2870,2871,2872,2873,2874,2875,2876,2877,2878,2879,2880,2881,2882,2883,2884,2885,2886,2887,2888,2889,2890,2891,2892,2893,2894,2895,2896,2897,2898,2899,2900,2901,2902,2903,2904,2905,2906,2907,2908,2909,2910,2911,2912,2913,2914,2915,2916,2917,2918,2919,2920,2921,2922,2923,2924,2925,2926,2927,2928,2929,2930,2931,2932,2933,2934,2935,2936,2937,2938,2939,2940,2941,2942,2943,2944,2945,2946,2947,2948,2949,2950,2951,2952,2953,2954,2955,2956,2957,2958,2959,2960,2961,2962,2963,2964,2965,2966,2967,2968,2969,2970,2971,2972,2973,2974,2975,2976,2977,2978,2979,2980,2981,2982,2983,2984,2985,2986,2987,2988,2989,2990,2991,2992,2993,2994,2995,2996,2997,2998,2999,3000,3001,3002,3003,3004,3005,3006,3007,3008,3009,3010,3011,3012,3013,3014,3015,3016,3017,3018,3019,3020,3021,3022,3023,3024,3025,3026,3027,3028,3029,3030,3031,3032,3033,3034,3035,3036,3037,3038,3039,3040,3041,3042,3043,3044,3045,3046,3047,3048,3049,3050,3051,3052,3053,3054,3055,3056,3057,3058,3059,3060,3061,3062,3063,3064,3065,3066,3067,3068,3069,3070,3071,3072,3073,3074,3075,3076,3077,3078,3079,3080,3081,3082,3083,3084,3085,3086,3087,3088,3089,3090,3091,3092,3093,3094,3095,3096,3097,3098,3099,3100,3101,3102,3103,3104,3105,3106,3107,3108,3109,3110,3111,3112,3113,3114,3115,3116,3117,3118,3119,3120,3121,3122,3123,3124,3125,3126,3127,3128,3129,3130,3131,3132,3133,3134,3135,3136,3137,3138,3139,3140,3141,3142,3143,3144,3145,3146,3147,3148,3149,3150,3151,3152,3153,3154,3155,3156,3157,3158,3159,3160,3161,3162,3163,3164,3165,3166,3167,3168,3169,3170,3171,3172,3173,3174,3175,3176,3177,3178,3179,3180,3181,3182,3183,3184,3185,3186,3187,3188,3189,3190,3191,3192,3193,3194,3195,3196,3197,3198,3199,3200,3201,3202,3203,3204,3205,3206,3207,3208,3209,3210,3211,3212,3213,3214,3215,3216,3217,3218,3219,3220,3221,3222,3223,3224,3225,3226,3227,3228,3229,3230,3231,3232,3233,3234,3235,3236,3237,3238,3239,3240,3241,3242,3243,3244,3245,3246,3247,3248,3249,3250,3251,3252,3253,3254,3255,3256,3257,3258,3259,3260,3261,3262,3263,3264,3265,3266,3267,3268,3269,3270,3271,3272,3273,3274,3275,3276,3277,3278,3279,3280,3281,3282,3283,3284,3285,3286,3287,3288,3289,3290,3291,3292,3293,3294,3295,3296,3297,3298,3299,3300,3301,3302,3303,3304,3305,3306,3307,3308,3309,3310,3311,3312,3313,3314,3315,3316,3317,3318,3319,3320,3321,3322,3323,3324,3325,3326,3327,3328,3329,3330,3331,3332,3333,3334,3335,3336,3337,3338,3339,3340,3341,3342,3343,3344,3345,3346,3347,3348,3349,3350,3351,3352,3353,3354,3355,3356,3357,3358,3359,3360,3361,3362,3363,3364,3365,3366,3367,3368,3369,3370,3371,3372,3373,3374,3375,3376,3377,3378,3379,3380,3381,3382,3383,3384,3385,3386,3387,3388,3389,3390,3391,3392,3393,3394,3395,3396,3397,3398,3399,3400,3401,3402,3403,3404,3405,3406,3407,3408,3409,3410,3411,3412,3413,3414,3415,3416,3417,3418,3419,3420,3421,3422,3423,3424,3425,3426,3427,3428,3429,3430,3431,3432,3433,3434,3435,3436,3437,3438,3439,3440,3441,3442,3443,3444,3445,3446,3447,3448,3449,3450,3451,3452,3453,3454,3455,3456,3457,3458,3459,3460,3461,3462,3463,3464,3465,3466,3467,3468,3469,3470,3471,3472,3473,3474,3475,3476,3477,3478,3479,3480,3481,3482,3483,3484,3485,3486,3487,3488,3489,3490,3491,3492,3493,3494,3495,3496,3497,3498,3499,3500,3501,3502,3503,3504,3505,3506,3507,3508,3509,3510,3511,3512,3513,3514,3515,3516,3517,3518,3519,3520,3521,3522,3523,3524,3525,3526,3527,3528,3529,3530,3531,3532,3533,3534,3535,3536,3537,3538,3539,3540,3541,3542,3543,3544,3545,3546,3547,3548,3549,3550,3551,3552,3553,3554,3555,3556,3557,3558,3559,3560,3561,3562,3563,3564,3565,3566,3567,3568,3569,3570,3571,3572,3573,3574,3575,3576,3577,3578,3579,3580,3581,3582,3583,3584,3585,3586,3587,3588,3589,3590,3591,3592,3593,3594,3595,3596,3597,3598,3599,3600,3601,3602,3603,3604,3605,3606,3607,3608,3609,3610,3611,3612,3613,3614,3615,3616,3617,3618,3619,3620,3621,3622,3623,3624,3625,3626,3627,3628,3629,3630,3631,3632,3633,3634,3635,3636,3637,3638,3639,3640,3641,3642,3643,3644,3645,3646,3647,3648,3649,3650,3651,3652,3653,3654,3655,3656,3657,3658,3659,3660,3661,3662,3663,3664,3665,3666,3667,3668,3669,3670,3671,3672,3673,3674,3675,3676,3677,3678,3679,3680,3681,3682,3683,3684,3685,3686,3687,3688,3689,3690,3691,3692,3693,3694,3695,3696,3697,3698,3699,3700,3701,3702,3703,3704,3705,3706,3707,3708,3709,3710,3711,3712,3713,3714,3715,3716,3717,3718,3719,3720,3721,3722,3723,3724,3725,3726,3727,3728,3729,3730,3731,3732,3733,3734,3735,3736,3737,3738,3739,3740,3741,3742,3743,3744,3745,3746,3747,3748,3749,3750,3751,3752,3753,3754,3755,3756,3757,3758,3759,3760,3761,3762,3763,3764,3765,3766,3767,3768,3769,3770,3771,3772,3773,3774,3775,3776,3777,3778,3779,3780,3781,3782,3783,3784,3785,3786,3787,3788,3789,3790,3791,3792,3793,3794,3795,3796,3797,3798,3799,3800,3801,3802,3803,3804,3805,3806,3807,3808,3809,3810,3811,3812,3813,3814,3815,3816,3817,3818,3819,3820,3821,3822,3823,3824,3825,3826,3827,3828,3829,3830,3831,3832,3833,3834,3835,3836,3837,3838,3839,3840,3841,3842,3843,3844,3845,3846,3847,3848,3849,3850,3851,3852,3853,3854,3855,3856,3857,3858,3859,3860,3861,3862,3863,3864,3865,3866,3867,3868,3869,3870,3871,3872,3873,3874,3875,3876,3877,3878,3879,3880,3881,3882,3883,3884,3885,3886,3887,3888,3889,3890,3891,3892,3893,3894,3895,3896,3897,3898,3899,3900,3901,3902,3903,3904,3905,3906,3907,3908,3909,3910,3911,3912,3913,3914,3915,3916,3917,3918,3919,3920,3921,3922,3923,3924,3925,3926,3927,3928,3929,3930,3931,3932,3933,3934,3935,3936,3937,3938,3939,3940,3941,3942,3943,3944,3945,3946,3947,3948,3949,3950,3951,3952,3953,3954,3955,3956,3957,3958,3959,3960,3961,3962,3963,3964,3965,3966,3967,3968,3969,3970,3971,3972,3973,3974,3975,3976,3977,3978,3979,3980,3981,3982,3983,3984,3985,3986,3987,3988,3989,3990,3991,3992,3993,3994,3995,3996,3997,3998,3999,4000,4001,4002,4003,4004,4005,4006,4007,4008,4009,4010,4011,4012,4013,4014,4015,4016,4017,4018,4019,4020,4021,4022,4023,4024,4025,4026,4027,4028,4029,4030,4031,4032,4033,4034,4035,4036,4037,4038,4039,4040,4041,4042,4043,4044,4045,4046,4047,4048,4049,4050,4051,4052,4053,4054,4055,4056,4057,4058,4059,4060,4061,4062,4063,4064,4065,4066,4067,4068,4069,4070,4071,4072,4073,4074,4075,4076,4077,4078,4079,4080,4081,4082,4083,4084,4085,4086,4087,4088,4089,4090,4091,4092,4093,4094,4095,4096,4097,4098,4099,4100,4101,4102,4103,4104,4105,4106,4107,4108,4109,4110,4111,4112,4113,4114,4115,4116,4117,4118,4119,4120,4121,4122,4123,4124,4125,4126,4127,4128,4129,4130,4131,4132,4133,4134,4135,4136,4137,4138,4139,4140,4141,4142,4143,4144,4145,4146,4147,4148,4149,4150,4151,4152,4153,4154,4155,4156,4157,4158,4159,4160,4161,4162,4163,4164,4165,4166,4167,4168,4169,4170,4171,4172,4173,4174,4175,4176,4177,4178,4179,4180,4181,4182,4183,4184,4185,4186,4187,4188,4189,4190,4191,4192,4193,4194,4195,4196,4197,4198,4199,4200,4201,4202,4203,4204,4205,4206,4207,4208,4209,4210,4211,4212,4213,4214,4215,4216,4217,4218,4219,4220,4221,4222,4223,4224,4225,4226,4227,4228,4229,4230,4231,4232,4233,4234,4235,4236,4237,4238,4239,4240,4241,4242,4243,4244,4245,4246,4247,4248,4249,4250,4251,4252,4253,4254,4255,4256,4257,4258,4259,4260,4261,4262,4263,4264,4265,4266,4267,4268,4269,4270,4271,4272,4273,4274,4275,4276,4277,4278,4279,4280,4281,4282,4283,4284,4285,4286,4287,4288,4289,4290,4291,4292,4293,4294,4295,4296,4297,4298,4299,4300,4301,4302,4303,4304,4305,4306,4307,4308,4309,4310,4311,4312,4313,4314,4315,4316,4317,4318,4319,4320,4321,4322,4323,4324,4325,4326,4327,4328,4329,4330,4331,4332,4333,4334,4335,4336,4337,4338,4339,4340,4341,4342,4343,4344,4345,4346,4347,4348,4349,4350,4351,4352,4353,4354,4355,4356,4357,4358,4359,4360,4361,4362,4363,4364,4365,4366,4367,4368,4369,4370,4371,4372,4373,4374,4375,4376,4377,4378,4379,4380,4381,4382,4383,4384,4385,4386,4387,4388,4389,4390,4391,4392,4393,4394,4395,4396,4397,4398,4399,4400,4401,4402,4403,4404,4405,4406,4407,4408,4409,4410,4411,4412,4413,4414,4415,4416,4417,4418,4419,4420,4421,4422,4423,4424,4425,4426,4427,4428,4429,4430,4431,4432,4433,4434,4435,4436,4437,4438,4439,4440,4441,4442,4443,4444,4445,4446,4447,4448,4449,4450,4451,4452,4453,4454,4455,4456,4457,4458,4459,4460,4461,4462,4463,4464,4465,4466,4467,4468,4469,4470,4471,4472,4473,4474,4475,4476,4477,4478,4479,4480,4481,4482,4483,4484,4485,4486,4487,4488,4489,4490,4491,4492,4493,4494,4495,4496,4497,4498,4499,4500,4501,4502,4503,4504,4505,4506,4507,4508,4509,4510,4511,4512,4513,4514,4515,4516,4517,4518,4519,4520,4521,4522,4523,4524,4525,4526,4527,4528,4529,4530,4531,4532,4533,4534,4535,4536,4537,4538,4539,4540,4541,4542,4543,4544,4545,4546,4547,4548,4549,4550,4551,4552,4553,4554,4555,4556,4557,4558,4559,4560,4561,4562,4563,4564,4565,4566,4567,4568,4569,4570,4571,4572,4573,4574,4575,4576,4577,4578,4579,4580,4581,4582,4583,4584,4585,4586,4587,4588,4589,4590,4591,4592,4593,4594,4595,4596,4597,4598,4599,4600,4601,4602,4603,4604,4605,4606,4607,4608,4609,4610,4611,4612,4613,4614,4615,4616,4617,4618,4619,4620,4621,4622,4623,4624,4625,4626,4627,4628,4629,4630,4631,4632,4633,4634,4635,4636,4637,4638,4639,4640,4641,4642,4643,4644,4645,4646,4647,4648,4649,4650,4651,4652,4653,4654,4655,4656,4657,4658,4659,4660,4661,4662,4663,4664,4665,4666,4667,4668,4669,4670,4671,4672,4673,4674,4675,4676,4677,4678,4679,4680,4681,4682,4683,4684,4685,4686,4687,4688,4689,4690,4691,4692,4693,4694,4695,4696,4697,4698,4699,4700,4701,4702,4703,4704,4705,4706,4707,4708,4709,4710,4711,4712,4713,4714,4715,4716,4717,4718,4719,4720,4721,4722,4723,4724,4725,4726,4727,4728,4729,4730,4731,4732,4733,4734,4735,4736,4737,4738,4739,4740,4741,4742,4743,4744,4745,4746,4747,4748,4749,4750,4751,4752,4753,4754,4755,4756,4757,4758,4759,4760,4761,4762,4763,4764,4765,4766,4767,4768,4769,4770,4771,4772,4773,4774,4775,4776,4777,4778,4779,4780,4781,4782,4783,4784,4785,4786,4787,4788,4789,4790,4791,4792,4793,4794,4795,4796,4797,4798,4799,4800,4801,4802,4803,4804,4805,4806,4807,4808,4809,4810,4811,4812,4813,4814,4815,4816,4817,4818,4819,4820,4821,4822,4823,4824,4825,4826,4827,4828,4829,4830,4831,4832,4833,4834,4835,4836,4837,4838,4839,4840,4841,4842,4843,4844,4845,4846,4847,4848,4849,4850,4851,4852,4853,4854,4855,4856,4857,4858,4859,4860,4861,4862,4863,4864,4865,4866,4867,4868,4869,4870,4871,4872,4873,4874,4875,4876,4877,4878,4879,4880,4881,4882,4883,4884,4885,4886,4887,4888,4889,4890,4891,4892,4893,4894,4895,4896,4897,4898,4899,4900,4901,4902,4903,4904,4905,4906,4907,4908,4909,4910,4911);(4,4911)(5,4910)(6,4909)(7,4908)(8,4907)(9,4906)(10,4905)(11,4904)(12,4903)(13,4902)(14,4901)(15,4900)(16,4899)(17,4898)(18,4897)(19,4896)(20,4895)(21,4894)(22,4893)(23,4892)(24,4891)(25,4890)(26,4889)(27,4888)(28,4887)(29,4886)(30,4885)(31,4884)(32,4883)(33,4882)(34,4881)(35,4880)(36,4879)(37,4878)(38,4877)(39,4876)(40,4875)(41,4874)(42,4873)(43,4872)(44,4871)(45,4870)(46,4869)(47,4868)(48,4867)(49,4866)(50,4865)(51,4864)(52,4863)(53,4862)(54,4861)(55,4860)(56,4859)(57,4858)(58,4857)(59,4856)(60,4855)(61,4854)(62,4853)(63,4852)(64,4851)(65,4850)(66,4849)(67,4848)(68,4847)(69,4846)(70,4845)(71,4844)(72,4843)(73,4842)(74,4841)(75,4840)(76,4839)(77,4838)(78,4837)(79,4836)(80,4835)(81,4834)(82,4833)(83,4832)(84,4831)(85,4830)(86,4829)(87,4828)(88,4827)(89,4826)(90,4825)(91,4824)(92,4823)(93,4822)(94,4821)(95,4820)(96,4819)(97,4818)(98,4817)(99,4816)(100,4815)(101,4814)(102,4813)(103,4812)(104,4811)(105,4810)(106,4809)(107,4808)(108,4807)(109,4806)(110,4805)(111,4804)(112,4803)(113,4802)(114,4801)(115,4800)(116,4799)(117,4798)(118,4797)(119,4796)(120,4795)(121,4794)(122,4793)(123,4792)(124,4791)(125,4790)(126,4789)(127,4788)(128,4787)(129,4786)(130,4785)(131,4784)(132,4783)(133,4782)(134,4781)(135,4780)(136,4779)(137,4778)(138,4777)(139,4776)(140,4775)(141,4774)(142,4773)(143,4772)(144,4771)(145,4770)(146,4769)(147,4768)(148,4767)(149,4766)(150,4765)(151,4764)(152,4763)(153,4762)(154,4761)(155,4760)(156,4759)(157,4758)(158,4757)(159,4756)(160,4755)(161,4754)(162,4753)(163,4752)(164,4751)(165,4750)(166,4749)(167,4748)(168,4747)(169,4746)(170,4745)(171,4744)(172,4743)(173,4742)(174,4741)(175,4740)(176,4739)(177,4738)(178,4737)(179,4736)(180,4735)(181,4734)(182,4733)(183,4732)(184,4731)(185,4730)(186,4729)(187,4728)(188,4727)(189,4726)(190,4725)(191,4724)(192,4723)(193,4722)(194,4721)(195,4720)(196,4719)(197,4718)(198,4717)(199,4716)(200,4715)(201,4714)(202,4713)(203,4712)(204,4711)(205,4710)(206,4709)(207,4708)(208,4707)(209,4706)(210,4705)(211,4704)(212,4703)(213,4702)(214,4701)(215,4700)(216,4699)(217,4698)(218,4697)(219,4696)(220,4695)(221,4694)(222,4693)(223,4692)(224,4691)(225,4690)(226,4689)(227,4688)(228,4687)(229,4686)(230,4685)(231,4684)(232,4683)(233,4682)(234,4681)(235,4680)(236,4679)(237,4678)(238,4677)(239,4676)(240,4675)(241,4674)(242,4673)(243,4672)(244,4671)(245,4670)(246,4669)(247,4668)(248,4667)(249,4666)(250,4665)(251,4664)(252,4663)(253,4662)(254,4661)(255,4660)(256,4659)(257,4658)(258,4657)(259,4656)(260,4655)(261,4654)(262,4653)(263,4652)(264,4651)(265,4650)(266,4649)(267,4648)(268,4647)(269,4646)(270,4645)(271,4644)(272,4643)(273,4642)(274,4641)(275,4640)(276,4639)(277,4638)(278,4637)(279,4636)(280,4635)(281,4634)(282,4633)(283,4632)(284,4631)(285,4630)(286,4629)(287,4628)(288,4627)(289,4626)(290,4625)(291,4624)(292,4623)(293,4622)(294,4621)(295,4620)(296,4619)(297,4618)(298,4617)(299,4616)(300,4615)(301,4614)(302,4613)(303,4612)(304,4611)(305,4610)(306,4609)(307,4608)(308,4607)(309,4606)(310,4605)(311,4604)(312,4603)(313,4602)(314,4601)(315,4600)(316,4599)(317,4598)(318,4597)(319,4596)(320,4595)(321,4594)(322,4593)(323,4592)(324,4591)(325,4590)(326,4589)(327,4588)(328,4587)(329,4586)(330,4585)(331,4584)(332,4583)(333,4582)(334,4581)(335,4580)(336,4579)(337,4578)(338,4577)(339,4576)(340,4575)(341,4574)(342,4573)(343,4572)(344,4571)(345,4570)(346,4569)(347,4568)(348,4567)(349,4566)(350,4565)(351,4564)(352,4563)(353,4562)(354,4561)(355,4560)(356,4559)(357,4558)(358,4557)(359,4556)(360,4555)(361,4554)(362,4553)(363,4552)(364,4551)(365,4550)(366,4549)(367,4548)(368,4547)(369,4546)(370,4545)(371,4544)(372,4543)(373,4542)(374,4541)(375,4540)(376,4539)(377,4538)(378,4537)(379,4536)(380,4535)(381,4534)(382,4533)(383,4532)(384,4531)(385,4530)(386,4529)(387,4528)(388,4527)(389,4526)(390,4525)(391,4524)(392,4523)(393,4522)(394,4521)(395,4520)(396,4519)(397,4518)(398,4517)(399,4516)(400,4515)(401,4514)(402,4513)(403,4512)(404,4511)(405,4510)(406,4509)(407,4508)(408,4507)(409,4506)(410,4505)(411,4504)(412,4503)(413,4502)(414,4501)(415,4500)(416,4499)(417,4498)(418,4497)(419,4496)(420,4495)(421,4494)(422,4493)(423,4492)(424,4491)(425,4490)(426,4489)(427,4488)(428,4487)(429,4486)(430,4485)(431,4484)(432,4483)(433,4482)(434,4481)(435,4480)(436,4479)(437,4478)(438,4477)(439,4476)(440,4475)(441,4474)(442,4473)(443,4472)(444,4471)(445,4470)(446,4469)(447,4468)(448,4467)(449,4466)(450,4465)(451,4464)(452,4463)(453,4462)(454,4461)(455,4460)(456,4459)(457,4458)(458,4457)(459,4456)(460,4455)(461,4454)(462,4453)(463,4452)(464,4451)(465,4450)(466,4449)(467,4448)(468,4447)(469,4446)(470,4445)(471,4444)(472,4443)(473,4442)(474,4441)(475,4440)(476,4439)(477,4438)(478,4437)(479,4436)(480,4435)(481,4434)(482,4433)(483,4432)(484,4431)(485,4430)(486,4429)(487,4428)(488,4427)(489,4426)(490,4425)(491,4424)(492,4423)(493,4422)(494,4421)(495,4420)(496,4419)(497,4418)(498,4417)(499,4416)(500,4415)(501,4414)(502,4413)(503,4412)(504,4411)(505,4410)(506,4409)(507,4408)(508,4407)(509,4406)(510,4405)(511,4404)(512,4403)(513,4402)(514,4401)(515,4400)(516,4399)(517,4398)(518,4397)(519,4396)(520,4395)(521,4394)(522,4393)(523,4392)(524,4391)(525,4390)(526,4389)(527,4388)(528,4387)(529,4386)(530,4385)(531,4384)(532,4383)(533,4382)(534,4381)(535,4380)(536,4379)(537,4378)(538,4377)(539,4376)(540,4375)(541,4374)(542,4373)(543,4372)(544,4371)(545,4370)(546,4369)(547,4368)(548,4367)(549,4366)(550,4365)(551,4364)(552,4363)(553,4362)(554,4361)(555,4360)(556,4359)(557,4358)(558,4357)(559,4356)(560,4355)(561,4354)(562,4353)(563,4352)(564,4351)(565,4350)(566,4349)(567,4348)(568,4347)(569,4346)(570,4345)(571,4344)(572,4343)(573,4342)(574,4341)(575,4340)(576,4339)(577,4338)(578,4337)(579,4336)(580,4335)(581,4334)(582,4333)(583,4332)(584,4331)(585,4330)(586,4329)(587,4328)(588,4327)(589,4326)(590,4325)(591,4324)(592,4323)(593,4322)(594,4321)(595,4320)(596,4319)(597,4318)(598,4317)(599,4316)(600,4315)(601,4314)(602,4313)(603,4312)(604,4311)(605,4310)(606,4309)(607,4308)(608,4307)(609,4306)(610,4305)(611,4304)(612,4303)(613,4302)(614,4301)(615,4300)(616,4299)(617,4298)(618,4297)(619,4296)(620,4295)(621,4294)(622,4293)(623,4292)(624,4291)(625,4290)(626,4289)(627,4288)(628,4287)(629,4286)(630,4285)(631,4284)(632,4283)(633,4282)(634,4281)(635,4280)(636,4279)(637,4278)(638,4277)(639,4276)(640,4275)(641,4274)(642,4273)(643,4272)(644,4271)(645,4270)(646,4269)(647,4268)(648,4267)(649,4266)(650,4265)(651,4264)(652,4263)(653,4262)(654,4261)(655,4260)(656,4259)(657,4258)(658,4257)(659,4256)(660,4255)(661,4254)(662,4253)(663,4252)(664,4251)(665,4250)(666,4249)(667,4248)(668,4247)(669,4246)(670,4245)(671,4244)(672,4243)(673,4242)(674,4241)(675,4240)(676,4239)(677,4238)(678,4237)(679,4236)(680,4235)(681,4234)(682,4233)(683,4232)(684,4231)(685,4230)(686,4229)(687,4228)(688,4227)(689,4226)(690,4225)(691,4224)(692,4223)(693,4222)(694,4221)(695,4220)(696,4219)(697,4218)(698,4217)(699,4216)(700,4215)(701,4214)(702,4213)(703,4212)(704,4211)(705,4210)(706,4209)(707,4208)(708,4207)(709,4206)(710,4205)(711,4204)(712,4203)(713,4202)(714,4201)(715,4200)(716,4199)(717,4198)(718,4197)(719,4196)(720,4195)(721,4194)(722,4193)(723,4192)(724,4191)(725,4190)(726,4189)(727,4188)(728,4187)(729,4186)(730,4185)(731,4184)(732,4183)(733,4182)(734,4181)(735,4180)(736,4179)(737,4178)(738,4177)(739,4176)(740,4175)(741,4174)(742,4173)(743,4172)(744,4171)(745,4170)(746,4169)(747,4168)(748,4167)(749,4166)(750,4165)(751,4164)(752,4163)(753,4162)(754,4161)(755,4160)(756,4159)(757,4158)(758,4157)(759,4156)(760,4155)(761,4154)(762,4153)(763,4152)(764,4151)(765,4150)(766,4149)(767,4148)(768,4147)(769,4146)(770,4145)(771,4144)(772,4143)(773,4142)(774,4141)(775,4140)(776,4139)(777,4138)(778,4137)(779,4136)(780,4135)(781,4134)(782,4133)(783,4132)(784,4131)(785,4130)(786,4129)(787,4128)(788,4127)(789,4126)(790,4125)(791,4124)(792,4123)(793,4122)(794,4121)(795,4120)(796,4119)(797,4118)(798,4117)(799,4116)(800,4115)(801,4114)(802,4113)(803,4112)(804,4111)(805,4110)(806,4109)(807,4108)(808,4107)(809,4106)(810,4105)(811,4104)(812,4103)(813,4102)(814,4101)(815,4100)(816,4099)(817,4098)(818,4097)(819,4096)(820,4095)(821,4094)(822,4093)(823,4092)(824,4091)(825,4090)(826,4089)(827,4088)(828,4087)(829,4086)(830,4085)(831,4084)(832,4083)(833,4082)(834,4081)(835,4080)(836,4079)(837,4078)(838,4077)(839,4076)(840,4075)(841,4074)(842,4073)(843,4072)(844,4071)(845,4070)(846,4069)(847,4068)(848,4067)(849,4066)(850,4065)(851,4064)(852,4063)(853,4062)(854,4061)(855,4060)(856,4059)(857,4058)(858,4057)(859,4056)(860,4055)(861,4054)(862,4053)(863,4052)(864,4051)(865,4050)(866,4049)(867,4048)(868,4047)(869,4046)(870,4045)(871,4044)(872,4043)(873,4042)(874,4041)(875,4040)(876,4039)(877,4038)(878,4037)(879,4036)(880,4035)(881,4034)(882,4033)(883,4032)(884,4031)(885,4030)(886,4029)(887,4028)(888,4027)(889,4026)(890,4025)(891,4024)(892,4023)(893,4022)(894,4021)(895,4020)(896,4019)(897,4018)(898,4017)(899,4016)(900,4015)(901,4014)(902,4013)(903,4012)(904,4011)(905,4010)(906,4009)(907,4008)(908,4007)(909,4006)(910,4005)(911,4004)(912,4003)(913,4002)(914,4001)(915,4000)(916,3999)(917,3998)(918,3997)(919,3996)(920,3995)(921,3994)(922,3993)(923,3992)(924,3991)(925,3990)(926,3989)(927,3988)(928,3987)(929,3986)(930,3985)(931,3984)(932,3983)(933,3982)(934,3981)(935,3980)(936,3979)(937,3978)(938,3977)(939,3976)(940,3975)(941,3974)(942,3973)(943,3972)(944,3971)(945,3970)(946,3969)(947,3968)(948,3967)(949,3966)(950,3965)(951,3964)(952,3963)(953,3962)(954,3961)(955,3960)(956,3959)(957,3958)(958,3957)(959,3956)(960,3955)(961,3954)(962,3953)(963,3952)(964,3951)(965,3950)(966,3949)(967,3948)(968,3947)(969,3946)(970,3945)(971,3944)(972,3943)(973,3942)(974,3941)(975,3940)(976,3939)(977,3938)(978,3937)(979,3936)(980,3935)(981,3934)(982,3933)(983,3932)(984,3931)(985,3930)(986,3929)(987,3928)(988,3927)(989,3926)(990,3925)(991,3924)(992,3923)(993,3922)(994,3921)(995,3920)(996,3919)(997,3918)(998,3917)(999,3916)(1000,3915)(1001,3914)(1002,3913)(1003,3912)(1004,3911)(1005,3910)(1006,3909)(1007,3908)(1008,3907)(1009,3906)(1010,3905)(1011,3904)(1012,3903)(1013,3902)(1014,3901)(1015,3900)(1016,3899)(1017,3898)(1018,3897)(1019,3896)(1020,3895)(1021,3894)(1022,3893)(1023,3892)(1024,3891)(1025,3890)(1026,3889)(1027,3888)(1028,3887)(1029,3886)(1030,3885)(1031,3884)(1032,3883)(1033,3882)(1034,3881)(1035,3880)(1036,3879)(1037,3878)(1038,3877)(1039,3876)(1040,3875)(1041,3874)(1042,3873)(1043,3872)(1044,3871)(1045,3870)(1046,3869)(1047,3868)(1048,3867)(1049,3866)(1050,3865)(1051,3864)(1052,3863)(1053,3862)(1054,3861)(1055,3860)(1056,3859)(1057,3858)(1058,3857)(1059,3856)(1060,3855)(1061,3854)(1062,3853)(1063,3852)(1064,3851)(1065,3850)(1066,3849)(1067,3848)(1068,3847)(1069,3846)(1070,3845)(1071,3844)(1072,3843)(1073,3842)(1074,3841)(1075,3840)(1076,3839)(1077,3838)(1078,3837)(1079,3836)(1080,3835)(1081,3834)(1082,3833)(1083,3832)(1084,3831)(1085,3830)(1086,3829)(1087,3828)(1088,3827)(1089,3826)(1090,3825)(1091,3824)(1092,3823)(1093,3822)(1094,3821)(1095,3820)(1096,3819)(1097,3818)(1098,3817)(1099,3816)(1100,3815)(1101,3814)(1102,3813)(1103,3812)(1104,3811)(1105,3810)(1106,3809)(1107,3808)(1108,3807)(1109,3806)(1110,3805)(1111,3804)(1112,3803)(1113,3802)(1114,3801)(1115,3800)(1116,3799)(1117,3798)(1118,3797)(1119,3796)(1120,3795)(1121,3794)(1122,3793)(1123,3792)(1124,3791)(1125,3790)(1126,3789)(1127,3788)(1128,3787)(1129,3786)(1130,3785)(1131,3784)(1132,3783)(1133,3782)(1134,3781)(1135,3780)(1136,3779)(1137,3778)(1138,3777)(1139,3776)(1140,3775)(1141,3774)(1142,3773)(1143,3772)(1144,3771)(1145,3770)(1146,3769)(1147,3768)(1148,3767)(1149,3766)(1150,3765)(1151,3764)(1152,3763)(1153,3762)(1154,3761)(1155,3760)(1156,3759)(1157,3758)(1158,3757)(1159,3756)(1160,3755)(1161,3754)(1162,3753)(1163,3752)(1164,3751)(1165,3750)(1166,3749)(1167,3748)(1168,3747)(1169,3746)(1170,3745)(1171,3744)(1172,3743)(1173,3742)(1174,3741)(1175,3740)(1176,3739)(1177,3738)(1178,3737)(1179,3736)(1180,3735)(1181,3734)(1182,3733)(1183,3732)(1184,3731)(1185,3730)(1186,3729)(1187,3728)(1188,3727)(1189,3726)(1190,3725)(1191,3724)(1192,3723)(1193,3722)(1194,3721)(1195,3720)(1196,3719)(1197,3718)(1198,3717)(1199,3716)(1200,3715)(1201,3714)(1202,3713)(1203,3712)(1204,3711)(1205,3710)(1206,3709)(1207,3708)(1208,3707)(1209,3706)(1210,3705)(1211,3704)(1212,3703)(1213,3702)(1214,3701)(1215,3700)(1216,3699)(1217,3698)(1218,3697)(1219,3696)(1220,3695)(1221,3694)(1222,3693)(1223,3692)(1224,3691)(1225,3690)(1226,3689)(1227,3688)(1228,3687)(1229,3686)(1230,3685)(1231,3684)(1232,3683)(1233,3682)(1234,3681)(1235,3680)(1236,3679)(1237,3678)(1238,3677)(1239,3676)(1240,3675)(1241,3674)(1242,3673)(1243,3672)(1244,3671)(1245,3670)(1246,3669)(1247,3668)(1248,3667)(1249,3666)(1250,3665)(1251,3664)(1252,3663)(1253,3662)(1254,3661)(1255,3660)(1256,3659)(1257,3658)(1258,3657)(1259,3656)(1260,3655)(1261,3654)(1262,3653)(1263,3652)(1264,3651)(1265,3650)(1266,3649)(1267,3648)(1268,3647)(1269,3646)(1270,3645)(1271,3644)(1272,3643)(1273,3642)(1274,3641)(1275,3640)(1276,3639)(1277,3638)(1278,3637)(1279,3636)(1280,3635)(1281,3634)(1282,3633)(1283,3632)(1284,3631)(1285,3630)(1286,3629)(1287,3628)(1288,3627)(1289,3626)(1290,3625)(1291,3624)(1292,3623)(1293,3622)(1294,3621)(1295,3620)(1296,3619)(1297,3618)(1298,3617)(1299,3616)(1300,3615)(1301,3614)(1302,3613)(1303,3612)(1304,3611)(1305,3610)(1306,3609)(1307,3608)(1308,3607)(1309,3606)(1310,3605)(1311,3604)(1312,3603)(1313,3602)(1314,3601)(1315,3600)(1316,3599)(1317,3598)(1318,3597)(1319,3596)(1320,3595)(1321,3594)(1322,3593)(1323,3592)(1324,3591)(1325,3590)(1326,3589)(1327,3588)(1328,3587)(1329,3586)(1330,3585)(1331,3584)(1332,3583)(1333,3582)(1334,3581)(1335,3580)(1336,3579)(1337,3578)(1338,3577)(1339,3576)(1340,3575)(1341,3574)(1342,3573)(1343,3572)(1344,3571)(1345,3570)(1346,3569)(1347,3568)(1348,3567)(1349,3566)(1350,3565)(1351,3564)(1352,3563)(1353,3562)(1354,3561)(1355,3560)(1356,3559)(1357,3558)(1358,3557)(1359,3556)(1360,3555)(1361,3554)(1362,3553)(1363,3552)(1364,3551)(1365,3550)(1366,3549)(1367,3548)(1368,3547)(1369,3546)(1370,3545)(1371,3544)(1372,3543)(1373,3542)(1374,3541)(1375,3540)(1376,3539)(1377,3538)(1378,3537)(1379,3536)(1380,3535)(1381,3534)(1382,3533)(1383,3532)(1384,3531)(1385,3530)(1386,3529)(1387,3528)(1388,3527)(1389,3526)(1390,3525)(1391,3524)(1392,3523)(1393,3522)(1394,3521)(1395,3520)(1396,3519)(1397,3518)(1398,3517)(1399,3516)(1400,3515)(1401,3514)(1402,3513)(1403,3512)(1404,3511)(1405,3510)(1406,3509)(1407,3508)(1408,3507)(1409,3506)(1410,3505)(1411,3504)(1412,3503)(1413,3502)(1414,3501)(1415,3500)(1416,3499)(1417,3498)(1418,3497)(1419,3496)(1420,3495)(1421,3494)(1422,3493)(1423,3492)(1424,3491)(1425,3490)(1426,3489)(1427,3488)(1428,3487)(1429,3486)(1430,3485)(1431,3484)(1432,3483)(1433,3482)(1434,3481)(1435,3480)(1436,3479)(1437,3478)(1438,3477)(1439,3476)(1440,3475)(1441,3474)(1442,3473)(1443,3472)(1444,3471)(1445,3470)(1446,3469)(1447,3468)(1448,3467)(1449,3466)(1450,3465)(1451,3464)(1452,3463)(1453,3462)(1454,3461)(1455,3460)(1456,3459)(1457,3458)(1458,3457)(1459,3456)(1460,3455)(1461,3454)(1462,3453)(1463,3452)(1464,3451)(1465,3450)(1466,3449)(1467,3448)(1468,3447)(1469,3446)(1470,3445)(1471,3444)(1472,3443)(1473,3442)(1474,3441)(1475,3440)(1476,3439)(1477,3438)(1478,3437)(1479,3436)(1480,3435)(1481,3434)(1482,3433)(1483,3432)(1484,3431)(1485,3430)(1486,3429)(1487,3428)(1488,3427)(1489,3426)(1490,3425)(1491,3424)(1492,3423)(1493,3422)(1494,3421)(1495,3420)(1496,3419)(1497,3418)(1498,3417)(1499,3416)(1500,3415)(1501,3414)(1502,3413)(1503,3412)(1504,3411)(1505,3410)(1506,3409)(1507,3408)(1508,3407)(1509,3406)(1510,3405)(1511,3404)(1512,3403)(1513,3402)(1514,3401)(1515,3400)(1516,3399)(1517,3398)(1518,3397)(1519,3396)(1520,3395)(1521,3394)(1522,3393)(1523,3392)(1524,3391)(1525,3390)(1526,3389)(1527,3388)(1528,3387)(1529,3386)(1530,3385)(1531,3384)(1532,3383)(1533,3382)(1534,3381)(1535,3380)(1536,3379)(1537,3378)(1538,3377)(1539,3376)(1540,3375)(1541,3374)(1542,3373)(1543,3372)(1544,3371)(1545,3370)(1546,3369)(1547,3368)(1548,3367)(1549,3366)(1550,3365)(1551,3364)(1552,3363)(1553,3362)(1554,3361)(1555,3360)(1556,3359)(1557,3358)(1558,3357)(1559,3356)(1560,3355)(1561,3354)(1562,3353)(1563,3352)(1564,3351)(1565,3350)(1566,3349)(1567,3348)(1568,3347)(1569,3346)(1570,3345)(1571,3344)(1572,3343)(1573,3342)(1574,3341)(1575,3340)(1576,3339)(1577,3338)(1578,3337)(1579,3336)(1580,3335)(1581,3334)(1582,3333)(1583,3332)(1584,3331)(1585,3330)(1586,3329)(1587,3328)(1588,3327)(1589,3326)(1590,3325)(1591,3324)(1592,3323)(1593,3322)(1594,3321)(1595,3320)(1596,3319)(1597,3318)(1598,3317)(1599,3316)(1600,3315)(1601,3314)(1602,3313)(1603,3312)(1604,3311)(1605,3310)(1606,3309)(1607,3308)(1608,3307)(1609,3306)(1610,3305)(1611,3304)(1612,3303)(1613,3302)(1614,3301)(1615,3300)(1616,3299)(1617,3298)(1618,3297)(1619,3296)(1620,3295)(1621,3294)(1622,3293)(1623,3292)(1624,3291)(1625,3290)(1626,3289)(1627,3288)(1628,3287)(1629,3286)(1630,3285)(1631,3284)(1632,3283)(1633,3282)(1634,3281)(1635,3280)(1636,3279)(1637,3278)(1638,3277)(1639,3276)(1640,3275)(1641,3274)(1642,3273)(1643,3272)(1644,3271)(1645,3270)(1646,3269)(1647,3268)(1648,3267)(1649,3266)(1650,3265)(1651,3264)(1652,3263)(1653,3262)(1654,3261)(1655,3260)(1656,3259)(1657,3258)(1658,3257)(1659,3256)(1660,3255)(1661,3254)(1662,3253)(1663,3252)(1664,3251)(1665,3250)(1666,3249)(1667,3248)(1668,3247)(1669,3246)(1670,3245)(1671,3244)(1672,3243)(1673,3242)(1674,3241)(1675,3240)(1676,3239)(1677,3238)(1678,3237)(1679,3236)(1680,3235)(1681,3234)(1682,3233)(1683,3232)(1684,3231)(1685,3230)(1686,3229)(1687,3228)(1688,3227)(1689,3226)(1690,3225)(1691,3224)(1692,3223)(1693,3222)(1694,3221)(1695,3220)(1696,3219)(1697,3218)(1698,3217)(1699,3216)(1700,3215)(1701,3214)(1702,3213)(1703,3212)(1704,3211)(1705,3210)(1706,3209)(1707,3208)(1708,3207)(1709,3206)(1710,3205)(1711,3204)(1712,3203)(1713,3202)(1714,3201)(1715,3200)(1716,3199)(1717,3198)(1718,3197)(1719,3196)(1720,3195)(1721,3194)(1722,3193)(1723,3192)(1724,3191)(1725,3190)(1726,3189)(1727,3188)(1728,3187)(1729,3186)(1730,3185)(1731,3184)(1732,3183)(1733,3182)(1734,3181)(1735,3180)(1736,3179)(1737,3178)(1738,3177)(1739,3176)(1740,3175)(1741,3174)(1742,3173)(1743,3172)(1744,3171)(1745,3170)(1746,3169)(1747,3168)(1748,3167)(1749,3166)(1750,3165)(1751,3164)(1752,3163)(1753,3162)(1754,3161)(1755,3160)(1756,3159)(1757,3158)(1758,3157)(1759,3156)(1760,3155)(1761,3154)(1762,3153)(1763,3152)(1764,3151)(1765,3150)(1766,3149)(1767,3148)(1768,3147)(1769,3146)(1770,3145)(1771,3144)(1772,3143)(1773,3142)(1774,3141)(1775,3140)(1776,3139)(1777,3138)(1778,3137)(1779,3136)(1780,3135)(1781,3134)(1782,3133)(1783,3132)(1784,3131)(1785,3130)(1786,3129)(1787,3128)(1788,3127)(1789,3126)(1790,3125)(1791,3124)(1792,3123)(1793,3122)(1794,3121)(1795,3120)(1796,3119)(1797,3118)(1798,3117)(1799,3116)(1800,3115)(1801,3114)(1802,3113)(1803,3112)(1804,3111)(1805,3110)(1806,3109)(1807,3108)(1808,3107)(1809,3106)(1810,3105)(1811,3104)(1812,3103)(1813,3102)(1814,3101)(1815,3100)(1816,3099)(1817,3098)(1818,3097)(1819,3096)(1820,3095)(1821,3094)(1822,3093)(1823,3092)(1824,3091)(1825,3090)(1826,3089)(1827,3088)(1828,3087)(1829,3086)(1830,3085)(1831,3084)(1832,3083)(1833,3082)(1834,3081)(1835,3080)(1836,3079)(1837,3078)(1838,3077)(1839,3076)(1840,3075)(1841,3074)(1842,3073)(1843,3072)(1844,3071)(1845,3070)(1846,3069)(1847,3068)(1848,3067)(1849,3066)(1850,3065)(1851,3064)(1852,3063)(1853,3062)(1854,3061)(1855,3060)(1856,3059)(1857,3058)(1858,3057)(1859,3056)(1860,3055)(1861,3054)(1862,3053)(1863,3052)(1864,3051)(1865,3050)(1866,3049)(1867,3048)(1868,3047)(1869,3046)(1870,3045)(1871,3044)(1872,3043)(1873,3042)(1874,3041)(1875,3040)(1876,3039)(1877,3038)(1878,3037)(1879,3036)(1880,3035)(1881,3034)(1882,3033)(1883,3032)(1884,3031)(1885,3030)(1886,3029)(1887,3028)(1888,3027)(1889,3026)(1890,3025)(1891,3024)(1892,3023)(1893,3022)(1894,3021)(1895,3020)(1896,3019)(1897,3018)(1898,3017)(1899,3016)(1900,3015)(1901,3014)(1902,3013)(1903,3012)(1904,3011)(1905,3010)(1906,3009)(1907,3008)(1908,3007)(1909,3006)(1910,3005)(1911,3004)(1912,3003)(1913,3002)(1914,3001)(1915,3000)(1916,2999)(1917,2998)(1918,2997)(1919,2996)(1920,2995)(1921,2994)(1922,2993)(1923,2992)(1924,2991)(1925,2990)(1926,2989)(1927,2988)(1928,2987)(1929,2986)(1930,2985)(1931,2984)(1932,2983)(1933,2982)(1934,2981)(1935,2980)(1936,2979)(1937,2978)(1938,2977)(1939,2976)(1940,2975)(1941,2974)(1942,2973)(1943,2972)(1944,2971)(1945,2970)(1946,2969)(1947,2968)(1948,2967)(1949,2966)(1950,2965)(1951,2964)(1952,2963)(1953,2962)(1954,2961)(1955,2960)(1956,2959)(1957,2958)(1958,2957)(1959,2956)(1960,2955)(1961,2954)(1962,2953)(1963,2952)(1964,2951)(1965,2950)(1966,2949)(1967,2948)(1968,2947)(1969,2946)(1970,2945)(1971,2944)(1972,2943)(1973,2942)(1974,2941)(1975,2940)(1976,2939)(1977,2938)(1978,2937)(1979,2936)(1980,2935)(1981,2934)(1982,2933)(1983,2932)(1984,2931)(1985,2930)(1986,2929)(1987,2928)(1988,2927)(1989,2926)(1990,2925)(1991,2924)(1992,2923)(1993,2922)(1994,2921)(1995,2920)(1996,2919)(1997,2918)(1998,2917)(1999,2916)(2000,2915)(2001,2914)(2002,2913)(2003,2912)(2004,2911)(2005,2910)(2006,2909)(2007,2908)(2008,2907)(2009,2906)(2010,2905)(2011,2904)(2012,2903)(2013,2902)(2014,2901)(2015,2900)(2016,2899)(2017,2898)(2018,2897)(2019,2896)(2020,2895)(2021,2894)(2022,2893)(2023,2892)(2024,2891)(2025,2890)(2026,2889)(2027,2888)(2028,2887)(2029,2886)(2030,2885)(2031,2884)(2032,2883)(2033,2882)(2034,2881)(2035,2880)(2036,2879)(2037,2878)(2038,2877)(2039,2876)(2040,2875)(2041,2874)(2042,2873)(2043,2872)(2044,2871)(2045,2870)(2046,2869)(2047,2868)(2048,2867)(2049,2866)(2050,2865)(2051,2864)(2052,2863)(2053,2862)(2054,2861)(2055,2860)(2056,2859)(2057,2858)(2058,2857)(2059,2856)(2060,2855)(2061,2854)(2062,2853)(2063,2852)(2064,2851)(2065,2850)(2066,2849)(2067,2848)(2068,2847)(2069,2846)(2070,2845)(2071,2844)(2072,2843)(2073,2842)(2074,2841)(2075,2840)(2076,2839)(2077,2838)(2078,2837)(2079,2836)(2080,2835)(2081,2834)(2082,2833)(2083,2832)(2084,2831)(2085,2830)(2086,2829)(2087,2828)(2088,2827)(2089,2826)(2090,2825)(2091,2824)(2092,2823)(2093,2822)(2094,2821)(2095,2820)(2096,2819)(2097,2818)(2098,2817)(2099,2816)(2100,2815)(2101,2814)(2102,2813)(2103,2812)(2104,2811)(2105,2810)(2106,2809)(2107,2808)(2108,2807)(2109,2806)(2110,2805)(2111,2804)(2112,2803)(2113,2802)(2114,2801)(2115,2800)(2116,2799)(2117,2798)(2118,2797)(2119,2796)(2120,2795)(2121,2794)(2122,2793)(2123,2792)(2124,2791)(2125,2790)(2126,2789)(2127,2788)(2128,2787)(2129,2786)(2130,2785)(2131,2784)(2132,2783)(2133,2782)(2134,2781)(2135,2780)(2136,2779)(2137,2778)(2138,2777)(2139,2776)(2140,2775)(2141,2774)(2142,2773)(2143,2772)(2144,2771)(2145,2770)(2146,2769)(2147,2768)(2148,2767)(2149,2766)(2150,2765)(2151,2764)(2152,2763)(2153,2762)(2154,2761)(2155,2760)(2156,2759)(2157,2758)(2158,2757)(2159,2756)(2160,2755)(2161,2754)(2162,2753)(2163,2752)(2164,2751)(2165,2750)(2166,2749)(2167,2748)(2168,2747)(2169,2746)(2170,2745)(2171,2744)(2172,2743)(2173,2742)(2174,2741)(2175,2740)(2176,2739)(2177,2738)(2178,2737)(2179,2736)(2180,2735)(2181,2734)(2182,2733)(2183,2732)(2184,2731)(2185,2730)(2186,2729)(2187,2728)(2188,2727)(2189,2726)(2190,2725)(2191,2724)(2192,2723)(2193,2722)(2194,2721)(2195,2720)(2196,2719)(2197,2718)(2198,2717)(2199,2716)(2200,2715)(2201,2714)(2202,2713)(2203,2712)(2204,2711)(2205,2710)(2206,2709)(2207,2708)(2208,2707)(2209,2706)(2210,2705)(2211,2704)(2212,2703)(2213,2702)(2214,2701)(2215,2700)(2216,2699)(2217,2698)(2218,2697)(2219,2696)(2220,2695)(2221,2694)(2222,2693)(2223,2692)(2224,2691)(2225,2690)(2226,2689)(2227,2688)(2228,2687)(2229,2686)(2230,2685)(2231,2684)(2232,2683)(2233,2682)(2234,2681)(2235,2680)(2236,2679)(2237,2678)(2238,2677)(2239,2676)(2240,2675)(2241,2674)(2242,2673)(2243,2672)(2244,2671)(2245,2670)(2246,2669)(2247,2668)(2248,2667)(2249,2666)(2250,2665)(2251,2664)(2252,2663)(2253,2662)(2254,2661)(2255,2660)(2256,2659)(2257,2658)(2258,2657)(2259,2656)(2260,2655)(2261,2654)(2262,2653)(2263,2652)(2264,2651)(2265,2650)(2266,2649)(2267,2648)(2268,2647)(2269,2646)(2270,2645)(2271,2644)(2272,2643)(2273,2642)(2274,2641)(2275,2640)(2276,2639)(2277,2638)(2278,2637)(2279,2636)(2280,2635)(2281,2634)(2282,2633)(2283,2632)(2284,2631)(2285,2630)(2286,2629)(2287,2628)(2288,2627)(2289,2626)(2290,2625)(2291,2624)(2292,2623)(2293,2622)(2294,2621)(2295,2620)(2296,2619)(2297,2618)(2298,2617)(2299,2616)(2300,2615)(2301,2614)(2302,2613)(2303,2612)(2304,2611)(2305,2610)(2306,2609)(2307,2608)(2308,2607)(2309,2606)(2310,2605)(2311,2604)(2312,2603)(2313,2602)(2314,2601)(2315,2600)(2316,2599)(2317,2598)(2318,2597)(2319,2596)(2320,2595)(2321,2594)(2322,2593)(2323,2592)(2324,2591)(2325,2590)(2326,2589)(2327,2588)(2328,2587)(2329,2586)(2330,2585)(2331,2584)(2332,2583)(2333,2582)(2334,2581)(2335,2580)(2336,2579)(2337,2578)(2338,2577)(2339,2576)(2340,2575)(2341,2574)(2342,2573)(2343,2572)(2344,2571)(2345,2570)(2346,2569)(2347,2568)(2348,2567)(2349,2566)(2350,2565)(2351,2564)(2352,2563)(2353,2562)(2354,2561)(2355,2560)(2356,2559)(2357,2558)(2358,2557)(2359,2556)(2360,2555)(2361,2554)(2362,2553)(2363,2552)(2364,2551)(2365,2550)(2366,2549)(2367,2548)(2368,2547)(2369,2546)(2370,2545)(2371,2544)(2372,2543)(2373,2542)(2374,2541)(2375,2540)(2376,2539)(2377,2538)(2378,2537)(2379,2536)(2380,2535)(2381,2534)(2382,2533)(2383,2532)(2384,2531)(2385,2530)(2386,2529)(2387,2528)(2388,2527)(2389,2526)(2390,2525)(2391,2524)(2392,2523)(2393,2522)(2394,2521)(2395,2520)(2396,2519)(2397,2518)(2398,2517)(2399,2516)(2400,2515)(2401,2514)(2402,2513)(2403,2512)(2404,2511)(2405,2510)(2406,2509)(2407,2508)(2408,2507)(2409,2506)(2410,2505)(2411,2504)(2412,2503)(2413,2502)(2414,2501)(2415,2500)(2416,2499)(2417,2498)(2418,2497)(2419,2496)(2420,2495)(2421,2494)(2422,2493)(2423,2492)(2424,2491)(2425,2490)(2426,2489)(2427,2488)(2428,2487)(2429,2486)(2430,2485)(2431,2484)(2432,2483)(2433,2482)(2434,2481)(2435,2480)(2436,2479)(2437,2478)(2438,2477)(2439,2476)(2440,2475)(2441,2474)(2442,2473)(2443,2472)(2444,2471)(2445,2470)(2446,2469)(2447,2468)(2448,2467)(2449,2466)(2450,2465)(2451,2464)(2452,2463)(2453,2462)(2454,2461)(2455,2460)(2456,2459)(2457,2458)
Conjugacy classes & character table
4912 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19636, 4);
Finite Group Databasebeta