← Prev (#34037312) Next (#34037314) →
Aliases
Splittings
Subgroups
10 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 4693 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);(4,4693)(5,4692)(6,4691)(7,4690)(8,4689)(9,4688)(10,4687)(11,4686)(12,4685)(13,4684)(14,4683)(15,4682)(16,4681)(17,4680)(18,4679)(19,4678)(20,4677)(21,4676)(22,4675)(23,4674)(24,4673)(25,4672)(26,4671)(27,4670)(28,4669)(29,4668)(30,4667)(31,4666)(32,4665)(33,4664)(34,4663)(35,4662)(36,4661)(37,4660)(38,4659)(39,4658)(40,4657)(41,4656)(42,4655)(43,4654)(44,4653)(45,4652)(46,4651)(47,4650)(48,4649)(49,4648)(50,4647)(51,4646)(52,4645)(53,4644)(54,4643)(55,4642)(56,4641)(57,4640)(58,4639)(59,4638)(60,4637)(61,4636)(62,4635)(63,4634)(64,4633)(65,4632)(66,4631)(67,4630)(68,4629)(69,4628)(70,4627)(71,4626)(72,4625)(73,4624)(74,4623)(75,4622)(76,4621)(77,4620)(78,4619)(79,4618)(80,4617)(81,4616)(82,4615)(83,4614)(84,4613)(85,4612)(86,4611)(87,4610)(88,4609)(89,4608)(90,4607)(91,4606)(92,4605)(93,4604)(94,4603)(95,4602)(96,4601)(97,4600)(98,4599)(99,4598)(100,4597)(101,4596)(102,4595)(103,4594)(104,4593)(105,4592)(106,4591)(107,4590)(108,4589)(109,4588)(110,4587)(111,4586)(112,4585)(113,4584)(114,4583)(115,4582)(116,4581)(117,4580)(118,4579)(119,4578)(120,4577)(121,4576)(122,4575)(123,4574)(124,4573)(125,4572)(126,4571)(127,4570)(128,4569)(129,4568)(130,4567)(131,4566)(132,4565)(133,4564)(134,4563)(135,4562)(136,4561)(137,4560)(138,4559)(139,4558)(140,4557)(141,4556)(142,4555)(143,4554)(144,4553)(145,4552)(146,4551)(147,4550)(148,4549)(149,4548)(150,4547)(151,4546)(152,4545)(153,4544)(154,4543)(155,4542)(156,4541)(157,4540)(158,4539)(159,4538)(160,4537)(161,4536)(162,4535)(163,4534)(164,4533)(165,4532)(166,4531)(167,4530)(168,4529)(169,4528)(170,4527)(171,4526)(172,4525)(173,4524)(174,4523)(175,4522)(176,4521)(177,4520)(178,4519)(179,4518)(180,4517)(181,4516)(182,4515)(183,4514)(184,4513)(185,4512)(186,4511)(187,4510)(188,4509)(189,4508)(190,4507)(191,4506)(192,4505)(193,4504)(194,4503)(195,4502)(196,4501)(197,4500)(198,4499)(199,4498)(200,4497)(201,4496)(202,4495)(203,4494)(204,4493)(205,4492)(206,4491)(207,4490)(208,4489)(209,4488)(210,4487)(211,4486)(212,4485)(213,4484)(214,4483)(215,4482)(216,4481)(217,4480)(218,4479)(219,4478)(220,4477)(221,4476)(222,4475)(223,4474)(224,4473)(225,4472)(226,4471)(227,4470)(228,4469)(229,4468)(230,4467)(231,4466)(232,4465)(233,4464)(234,4463)(235,4462)(236,4461)(237,4460)(238,4459)(239,4458)(240,4457)(241,4456)(242,4455)(243,4454)(244,4453)(245,4452)(246,4451)(247,4450)(248,4449)(249,4448)(250,4447)(251,4446)(252,4445)(253,4444)(254,4443)(255,4442)(256,4441)(257,4440)(258,4439)(259,4438)(260,4437)(261,4436)(262,4435)(263,4434)(264,4433)(265,4432)(266,4431)(267,4430)(268,4429)(269,4428)(270,4427)(271,4426)(272,4425)(273,4424)(274,4423)(275,4422)(276,4421)(277,4420)(278,4419)(279,4418)(280,4417)(281,4416)(282,4415)(283,4414)(284,4413)(285,4412)(286,4411)(287,4410)(288,4409)(289,4408)(290,4407)(291,4406)(292,4405)(293,4404)(294,4403)(295,4402)(296,4401)(297,4400)(298,4399)(299,4398)(300,4397)(301,4396)(302,4395)(303,4394)(304,4393)(305,4392)(306,4391)(307,4390)(308,4389)(309,4388)(310,4387)(311,4386)(312,4385)(313,4384)(314,4383)(315,4382)(316,4381)(317,4380)(318,4379)(319,4378)(320,4377)(321,4376)(322,4375)(323,4374)(324,4373)(325,4372)(326,4371)(327,4370)(328,4369)(329,4368)(330,4367)(331,4366)(332,4365)(333,4364)(334,4363)(335,4362)(336,4361)(337,4360)(338,4359)(339,4358)(340,4357)(341,4356)(342,4355)(343,4354)(344,4353)(345,4352)(346,4351)(347,4350)(348,4349)(349,4348)(350,4347)(351,4346)(352,4345)(353,4344)(354,4343)(355,4342)(356,4341)(357,4340)(358,4339)(359,4338)(360,4337)(361,4336)(362,4335)(363,4334)(364,4333)(365,4332)(366,4331)(367,4330)(368,4329)(369,4328)(370,4327)(371,4326)(372,4325)(373,4324)(374,4323)(375,4322)(376,4321)(377,4320)(378,4319)(379,4318)(380,4317)(381,4316)(382,4315)(383,4314)(384,4313)(385,4312)(386,4311)(387,4310)(388,4309)(389,4308)(390,4307)(391,4306)(392,4305)(393,4304)(394,4303)(395,4302)(396,4301)(397,4300)(398,4299)(399,4298)(400,4297)(401,4296)(402,4295)(403,4294)(404,4293)(405,4292)(406,4291)(407,4290)(408,4289)(409,4288)(410,4287)(411,4286)(412,4285)(413,4284)(414,4283)(415,4282)(416,4281)(417,4280)(418,4279)(419,4278)(420,4277)(421,4276)(422,4275)(423,4274)(424,4273)(425,4272)(426,4271)(427,4270)(428,4269)(429,4268)(430,4267)(431,4266)(432,4265)(433,4264)(434,4263)(435,4262)(436,4261)(437,4260)(438,4259)(439,4258)(440,4257)(441,4256)(442,4255)(443,4254)(444,4253)(445,4252)(446,4251)(447,4250)(448,4249)(449,4248)(450,4247)(451,4246)(452,4245)(453,4244)(454,4243)(455,4242)(456,4241)(457,4240)(458,4239)(459,4238)(460,4237)(461,4236)(462,4235)(463,4234)(464,4233)(465,4232)(466,4231)(467,4230)(468,4229)(469,4228)(470,4227)(471,4226)(472,4225)(473,4224)(474,4223)(475,4222)(476,4221)(477,4220)(478,4219)(479,4218)(480,4217)(481,4216)(482,4215)(483,4214)(484,4213)(485,4212)(486,4211)(487,4210)(488,4209)(489,4208)(490,4207)(491,4206)(492,4205)(493,4204)(494,4203)(495,4202)(496,4201)(497,4200)(498,4199)(499,4198)(500,4197)(501,4196)(502,4195)(503,4194)(504,4193)(505,4192)(506,4191)(507,4190)(508,4189)(509,4188)(510,4187)(511,4186)(512,4185)(513,4184)(514,4183)(515,4182)(516,4181)(517,4180)(518,4179)(519,4178)(520,4177)(521,4176)(522,4175)(523,4174)(524,4173)(525,4172)(526,4171)(527,4170)(528,4169)(529,4168)(530,4167)(531,4166)(532,4165)(533,4164)(534,4163)(535,4162)(536,4161)(537,4160)(538,4159)(539,4158)(540,4157)(541,4156)(542,4155)(543,4154)(544,4153)(545,4152)(546,4151)(547,4150)(548,4149)(549,4148)(550,4147)(551,4146)(552,4145)(553,4144)(554,4143)(555,4142)(556,4141)(557,4140)(558,4139)(559,4138)(560,4137)(561,4136)(562,4135)(563,4134)(564,4133)(565,4132)(566,4131)(567,4130)(568,4129)(569,4128)(570,4127)(571,4126)(572,4125)(573,4124)(574,4123)(575,4122)(576,4121)(577,4120)(578,4119)(579,4118)(580,4117)(581,4116)(582,4115)(583,4114)(584,4113)(585,4112)(586,4111)(587,4110)(588,4109)(589,4108)(590,4107)(591,4106)(592,4105)(593,4104)(594,4103)(595,4102)(596,4101)(597,4100)(598,4099)(599,4098)(600,4097)(601,4096)(602,4095)(603,4094)(604,4093)(605,4092)(606,4091)(607,4090)(608,4089)(609,4088)(610,4087)(611,4086)(612,4085)(613,4084)(614,4083)(615,4082)(616,4081)(617,4080)(618,4079)(619,4078)(620,4077)(621,4076)(622,4075)(623,4074)(624,4073)(625,4072)(626,4071)(627,4070)(628,4069)(629,4068)(630,4067)(631,4066)(632,4065)(633,4064)(634,4063)(635,4062)(636,4061)(637,4060)(638,4059)(639,4058)(640,4057)(641,4056)(642,4055)(643,4054)(644,4053)(645,4052)(646,4051)(647,4050)(648,4049)(649,4048)(650,4047)(651,4046)(652,4045)(653,4044)(654,4043)(655,4042)(656,4041)(657,4040)(658,4039)(659,4038)(660,4037)(661,4036)(662,4035)(663,4034)(664,4033)(665,4032)(666,4031)(667,4030)(668,4029)(669,4028)(670,4027)(671,4026)(672,4025)(673,4024)(674,4023)(675,4022)(676,4021)(677,4020)(678,4019)(679,4018)(680,4017)(681,4016)(682,4015)(683,4014)(684,4013)(685,4012)(686,4011)(687,4010)(688,4009)(689,4008)(690,4007)(691,4006)(692,4005)(693,4004)(694,4003)(695,4002)(696,4001)(697,4000)(698,3999)(699,3998)(700,3997)(701,3996)(702,3995)(703,3994)(704,3993)(705,3992)(706,3991)(707,3990)(708,3989)(709,3988)(710,3987)(711,3986)(712,3985)(713,3984)(714,3983)(715,3982)(716,3981)(717,3980)(718,3979)(719,3978)(720,3977)(721,3976)(722,3975)(723,3974)(724,3973)(725,3972)(726,3971)(727,3970)(728,3969)(729,3968)(730,3967)(731,3966)(732,3965)(733,3964)(734,3963)(735,3962)(736,3961)(737,3960)(738,3959)(739,3958)(740,3957)(741,3956)(742,3955)(743,3954)(744,3953)(745,3952)(746,3951)(747,3950)(748,3949)(749,3948)(750,3947)(751,3946)(752,3945)(753,3944)(754,3943)(755,3942)(756,3941)(757,3940)(758,3939)(759,3938)(760,3937)(761,3936)(762,3935)(763,3934)(764,3933)(765,3932)(766,3931)(767,3930)(768,3929)(769,3928)(770,3927)(771,3926)(772,3925)(773,3924)(774,3923)(775,3922)(776,3921)(777,3920)(778,3919)(779,3918)(780,3917)(781,3916)(782,3915)(783,3914)(784,3913)(785,3912)(786,3911)(787,3910)(788,3909)(789,3908)(790,3907)(791,3906)(792,3905)(793,3904)(794,3903)(795,3902)(796,3901)(797,3900)(798,3899)(799,3898)(800,3897)(801,3896)(802,3895)(803,3894)(804,3893)(805,3892)(806,3891)(807,3890)(808,3889)(809,3888)(810,3887)(811,3886)(812,3885)(813,3884)(814,3883)(815,3882)(816,3881)(817,3880)(818,3879)(819,3878)(820,3877)(821,3876)(822,3875)(823,3874)(824,3873)(825,3872)(826,3871)(827,3870)(828,3869)(829,3868)(830,3867)(831,3866)(832,3865)(833,3864)(834,3863)(835,3862)(836,3861)(837,3860)(838,3859)(839,3858)(840,3857)(841,3856)(842,3855)(843,3854)(844,3853)(845,3852)(846,3851)(847,3850)(848,3849)(849,3848)(850,3847)(851,3846)(852,3845)(853,3844)(854,3843)(855,3842)(856,3841)(857,3840)(858,3839)(859,3838)(860,3837)(861,3836)(862,3835)(863,3834)(864,3833)(865,3832)(866,3831)(867,3830)(868,3829)(869,3828)(870,3827)(871,3826)(872,3825)(873,3824)(874,3823)(875,3822)(876,3821)(877,3820)(878,3819)(879,3818)(880,3817)(881,3816)(882,3815)(883,3814)(884,3813)(885,3812)(886,3811)(887,3810)(888,3809)(889,3808)(890,3807)(891,3806)(892,3805)(893,3804)(894,3803)(895,3802)(896,3801)(897,3800)(898,3799)(899,3798)(900,3797)(901,3796)(902,3795)(903,3794)(904,3793)(905,3792)(906,3791)(907,3790)(908,3789)(909,3788)(910,3787)(911,3786)(912,3785)(913,3784)(914,3783)(915,3782)(916,3781)(917,3780)(918,3779)(919,3778)(920,3777)(921,3776)(922,3775)(923,3774)(924,3773)(925,3772)(926,3771)(927,3770)(928,3769)(929,3768)(930,3767)(931,3766)(932,3765)(933,3764)(934,3763)(935,3762)(936,3761)(937,3760)(938,3759)(939,3758)(940,3757)(941,3756)(942,3755)(943,3754)(944,3753)(945,3752)(946,3751)(947,3750)(948,3749)(949,3748)(950,3747)(951,3746)(952,3745)(953,3744)(954,3743)(955,3742)(956,3741)(957,3740)(958,3739)(959,3738)(960,3737)(961,3736)(962,3735)(963,3734)(964,3733)(965,3732)(966,3731)(967,3730)(968,3729)(969,3728)(970,3727)(971,3726)(972,3725)(973,3724)(974,3723)(975,3722)(976,3721)(977,3720)(978,3719)(979,3718)(980,3717)(981,3716)(982,3715)(983,3714)(984,3713)(985,3712)(986,3711)(987,3710)(988,3709)(989,3708)(990,3707)(991,3706)(992,3705)(993,3704)(994,3703)(995,3702)(996,3701)(997,3700)(998,3699)(999,3698)(1000,3697)(1001,3696)(1002,3695)(1003,3694)(1004,3693)(1005,3692)(1006,3691)(1007,3690)(1008,3689)(1009,3688)(1010,3687)(1011,3686)(1012,3685)(1013,3684)(1014,3683)(1015,3682)(1016,3681)(1017,3680)(1018,3679)(1019,3678)(1020,3677)(1021,3676)(1022,3675)(1023,3674)(1024,3673)(1025,3672)(1026,3671)(1027,3670)(1028,3669)(1029,3668)(1030,3667)(1031,3666)(1032,3665)(1033,3664)(1034,3663)(1035,3662)(1036,3661)(1037,3660)(1038,3659)(1039,3658)(1040,3657)(1041,3656)(1042,3655)(1043,3654)(1044,3653)(1045,3652)(1046,3651)(1047,3650)(1048,3649)(1049,3648)(1050,3647)(1051,3646)(1052,3645)(1053,3644)(1054,3643)(1055,3642)(1056,3641)(1057,3640)(1058,3639)(1059,3638)(1060,3637)(1061,3636)(1062,3635)(1063,3634)(1064,3633)(1065,3632)(1066,3631)(1067,3630)(1068,3629)(1069,3628)(1070,3627)(1071,3626)(1072,3625)(1073,3624)(1074,3623)(1075,3622)(1076,3621)(1077,3620)(1078,3619)(1079,3618)(1080,3617)(1081,3616)(1082,3615)(1083,3614)(1084,3613)(1085,3612)(1086,3611)(1087,3610)(1088,3609)(1089,3608)(1090,3607)(1091,3606)(1092,3605)(1093,3604)(1094,3603)(1095,3602)(1096,3601)(1097,3600)(1098,3599)(1099,3598)(1100,3597)(1101,3596)(1102,3595)(1103,3594)(1104,3593)(1105,3592)(1106,3591)(1107,3590)(1108,3589)(1109,3588)(1110,3587)(1111,3586)(1112,3585)(1113,3584)(1114,3583)(1115,3582)(1116,3581)(1117,3580)(1118,3579)(1119,3578)(1120,3577)(1121,3576)(1122,3575)(1123,3574)(1124,3573)(1125,3572)(1126,3571)(1127,3570)(1128,3569)(1129,3568)(1130,3567)(1131,3566)(1132,3565)(1133,3564)(1134,3563)(1135,3562)(1136,3561)(1137,3560)(1138,3559)(1139,3558)(1140,3557)(1141,3556)(1142,3555)(1143,3554)(1144,3553)(1145,3552)(1146,3551)(1147,3550)(1148,3549)(1149,3548)(1150,3547)(1151,3546)(1152,3545)(1153,3544)(1154,3543)(1155,3542)(1156,3541)(1157,3540)(1158,3539)(1159,3538)(1160,3537)(1161,3536)(1162,3535)(1163,3534)(1164,3533)(1165,3532)(1166,3531)(1167,3530)(1168,3529)(1169,3528)(1170,3527)(1171,3526)(1172,3525)(1173,3524)(1174,3523)(1175,3522)(1176,3521)(1177,3520)(1178,3519)(1179,3518)(1180,3517)(1181,3516)(1182,3515)(1183,3514)(1184,3513)(1185,3512)(1186,3511)(1187,3510)(1188,3509)(1189,3508)(1190,3507)(1191,3506)(1192,3505)(1193,3504)(1194,3503)(1195,3502)(1196,3501)(1197,3500)(1198,3499)(1199,3498)(1200,3497)(1201,3496)(1202,3495)(1203,3494)(1204,3493)(1205,3492)(1206,3491)(1207,3490)(1208,3489)(1209,3488)(1210,3487)(1211,3486)(1212,3485)(1213,3484)(1214,3483)(1215,3482)(1216,3481)(1217,3480)(1218,3479)(1219,3478)(1220,3477)(1221,3476)(1222,3475)(1223,3474)(1224,3473)(1225,3472)(1226,3471)(1227,3470)(1228,3469)(1229,3468)(1230,3467)(1231,3466)(1232,3465)(1233,3464)(1234,3463)(1235,3462)(1236,3461)(1237,3460)(1238,3459)(1239,3458)(1240,3457)(1241,3456)(1242,3455)(1243,3454)(1244,3453)(1245,3452)(1246,3451)(1247,3450)(1248,3449)(1249,3448)(1250,3447)(1251,3446)(1252,3445)(1253,3444)(1254,3443)(1255,3442)(1256,3441)(1257,3440)(1258,3439)(1259,3438)(1260,3437)(1261,3436)(1262,3435)(1263,3434)(1264,3433)(1265,3432)(1266,3431)(1267,3430)(1268,3429)(1269,3428)(1270,3427)(1271,3426)(1272,3425)(1273,3424)(1274,3423)(1275,3422)(1276,3421)(1277,3420)(1278,3419)(1279,3418)(1280,3417)(1281,3416)(1282,3415)(1283,3414)(1284,3413)(1285,3412)(1286,3411)(1287,3410)(1288,3409)(1289,3408)(1290,3407)(1291,3406)(1292,3405)(1293,3404)(1294,3403)(1295,3402)(1296,3401)(1297,3400)(1298,3399)(1299,3398)(1300,3397)(1301,3396)(1302,3395)(1303,3394)(1304,3393)(1305,3392)(1306,3391)(1307,3390)(1308,3389)(1309,3388)(1310,3387)(1311,3386)(1312,3385)(1313,3384)(1314,3383)(1315,3382)(1316,3381)(1317,3380)(1318,3379)(1319,3378)(1320,3377)(1321,3376)(1322,3375)(1323,3374)(1324,3373)(1325,3372)(1326,3371)(1327,3370)(1328,3369)(1329,3368)(1330,3367)(1331,3366)(1332,3365)(1333,3364)(1334,3363)(1335,3362)(1336,3361)(1337,3360)(1338,3359)(1339,3358)(1340,3357)(1341,3356)(1342,3355)(1343,3354)(1344,3353)(1345,3352)(1346,3351)(1347,3350)(1348,3349)(1349,3348)(1350,3347)(1351,3346)(1352,3345)(1353,3344)(1354,3343)(1355,3342)(1356,3341)(1357,3340)(1358,3339)(1359,3338)(1360,3337)(1361,3336)(1362,3335)(1363,3334)(1364,3333)(1365,3332)(1366,3331)(1367,3330)(1368,3329)(1369,3328)(1370,3327)(1371,3326)(1372,3325)(1373,3324)(1374,3323)(1375,3322)(1376,3321)(1377,3320)(1378,3319)(1379,3318)(1380,3317)(1381,3316)(1382,3315)(1383,3314)(1384,3313)(1385,3312)(1386,3311)(1387,3310)(1388,3309)(1389,3308)(1390,3307)(1391,3306)(1392,3305)(1393,3304)(1394,3303)(1395,3302)(1396,3301)(1397,3300)(1398,3299)(1399,3298)(1400,3297)(1401,3296)(1402,3295)(1403,3294)(1404,3293)(1405,3292)(1406,3291)(1407,3290)(1408,3289)(1409,3288)(1410,3287)(1411,3286)(1412,3285)(1413,3284)(1414,3283)(1415,3282)(1416,3281)(1417,3280)(1418,3279)(1419,3278)(1420,3277)(1421,3276)(1422,3275)(1423,3274)(1424,3273)(1425,3272)(1426,3271)(1427,3270)(1428,3269)(1429,3268)(1430,3267)(1431,3266)(1432,3265)(1433,3264)(1434,3263)(1435,3262)(1436,3261)(1437,3260)(1438,3259)(1439,3258)(1440,3257)(1441,3256)(1442,3255)(1443,3254)(1444,3253)(1445,3252)(1446,3251)(1447,3250)(1448,3249)(1449,3248)(1450,3247)(1451,3246)(1452,3245)(1453,3244)(1454,3243)(1455,3242)(1456,3241)(1457,3240)(1458,3239)(1459,3238)(1460,3237)(1461,3236)(1462,3235)(1463,3234)(1464,3233)(1465,3232)(1466,3231)(1467,3230)(1468,3229)(1469,3228)(1470,3227)(1471,3226)(1472,3225)(1473,3224)(1474,3223)(1475,3222)(1476,3221)(1477,3220)(1478,3219)(1479,3218)(1480,3217)(1481,3216)(1482,3215)(1483,3214)(1484,3213)(1485,3212)(1486,3211)(1487,3210)(1488,3209)(1489,3208)(1490,3207)(1491,3206)(1492,3205)(1493,3204)(1494,3203)(1495,3202)(1496,3201)(1497,3200)(1498,3199)(1499,3198)(1500,3197)(1501,3196)(1502,3195)(1503,3194)(1504,3193)(1505,3192)(1506,3191)(1507,3190)(1508,3189)(1509,3188)(1510,3187)(1511,3186)(1512,3185)(1513,3184)(1514,3183)(1515,3182)(1516,3181)(1517,3180)(1518,3179)(1519,3178)(1520,3177)(1521,3176)(1522,3175)(1523,3174)(1524,3173)(1525,3172)(1526,3171)(1527,3170)(1528,3169)(1529,3168)(1530,3167)(1531,3166)(1532,3165)(1533,3164)(1534,3163)(1535,3162)(1536,3161)(1537,3160)(1538,3159)(1539,3158)(1540,3157)(1541,3156)(1542,3155)(1543,3154)(1544,3153)(1545,3152)(1546,3151)(1547,3150)(1548,3149)(1549,3148)(1550,3147)(1551,3146)(1552,3145)(1553,3144)(1554,3143)(1555,3142)(1556,3141)(1557,3140)(1558,3139)(1559,3138)(1560,3137)(1561,3136)(1562,3135)(1563,3134)(1564,3133)(1565,3132)(1566,3131)(1567,3130)(1568,3129)(1569,3128)(1570,3127)(1571,3126)(1572,3125)(1573,3124)(1574,3123)(1575,3122)(1576,3121)(1577,3120)(1578,3119)(1579,3118)(1580,3117)(1581,3116)(1582,3115)(1583,3114)(1584,3113)(1585,3112)(1586,3111)(1587,3110)(1588,3109)(1589,3108)(1590,3107)(1591,3106)(1592,3105)(1593,3104)(1594,3103)(1595,3102)(1596,3101)(1597,3100)(1598,3099)(1599,3098)(1600,3097)(1601,3096)(1602,3095)(1603,3094)(1604,3093)(1605,3092)(1606,3091)(1607,3090)(1608,3089)(1609,3088)(1610,3087)(1611,3086)(1612,3085)(1613,3084)(1614,3083)(1615,3082)(1616,3081)(1617,3080)(1618,3079)(1619,3078)(1620,3077)(1621,3076)(1622,3075)(1623,3074)(1624,3073)(1625,3072)(1626,3071)(1627,3070)(1628,3069)(1629,3068)(1630,3067)(1631,3066)(1632,3065)(1633,3064)(1634,3063)(1635,3062)(1636,3061)(1637,3060)(1638,3059)(1639,3058)(1640,3057)(1641,3056)(1642,3055)(1643,3054)(1644,3053)(1645,3052)(1646,3051)(1647,3050)(1648,3049)(1649,3048)(1650,3047)(1651,3046)(1652,3045)(1653,3044)(1654,3043)(1655,3042)(1656,3041)(1657,3040)(1658,3039)(1659,3038)(1660,3037)(1661,3036)(1662,3035)(1663,3034)(1664,3033)(1665,3032)(1666,3031)(1667,3030)(1668,3029)(1669,3028)(1670,3027)(1671,3026)(1672,3025)(1673,3024)(1674,3023)(1675,3022)(1676,3021)(1677,3020)(1678,3019)(1679,3018)(1680,3017)(1681,3016)(1682,3015)(1683,3014)(1684,3013)(1685,3012)(1686,3011)(1687,3010)(1688,3009)(1689,3008)(1690,3007)(1691,3006)(1692,3005)(1693,3004)(1694,3003)(1695,3002)(1696,3001)(1697,3000)(1698,2999)(1699,2998)(1700,2997)(1701,2996)(1702,2995)(1703,2994)(1704,2993)(1705,2992)(1706,2991)(1707,2990)(1708,2989)(1709,2988)(1710,2987)(1711,2986)(1712,2985)(1713,2984)(1714,2983)(1715,2982)(1716,2981)(1717,2980)(1718,2979)(1719,2978)(1720,2977)(1721,2976)(1722,2975)(1723,2974)(1724,2973)(1725,2972)(1726,2971)(1727,2970)(1728,2969)(1729,2968)(1730,2967)(1731,2966)(1732,2965)(1733,2964)(1734,2963)(1735,2962)(1736,2961)(1737,2960)(1738,2959)(1739,2958)(1740,2957)(1741,2956)(1742,2955)(1743,2954)(1744,2953)(1745,2952)(1746,2951)(1747,2950)(1748,2949)(1749,2948)(1750,2947)(1751,2946)(1752,2945)(1753,2944)(1754,2943)(1755,2942)(1756,2941)(1757,2940)(1758,2939)(1759,2938)(1760,2937)(1761,2936)(1762,2935)(1763,2934)(1764,2933)(1765,2932)(1766,2931)(1767,2930)(1768,2929)(1769,2928)(1770,2927)(1771,2926)(1772,2925)(1773,2924)(1774,2923)(1775,2922)(1776,2921)(1777,2920)(1778,2919)(1779,2918)(1780,2917)(1781,2916)(1782,2915)(1783,2914)(1784,2913)(1785,2912)(1786,2911)(1787,2910)(1788,2909)(1789,2908)(1790,2907)(1791,2906)(1792,2905)(1793,2904)(1794,2903)(1795,2902)(1796,2901)(1797,2900)(1798,2899)(1799,2898)(1800,2897)(1801,2896)(1802,2895)(1803,2894)(1804,2893)(1805,2892)(1806,2891)(1807,2890)(1808,2889)(1809,2888)(1810,2887)(1811,2886)(1812,2885)(1813,2884)(1814,2883)(1815,2882)(1816,2881)(1817,2880)(1818,2879)(1819,2878)(1820,2877)(1821,2876)(1822,2875)(1823,2874)(1824,2873)(1825,2872)(1826,2871)(1827,2870)(1828,2869)(1829,2868)(1830,2867)(1831,2866)(1832,2865)(1833,2864)(1834,2863)(1835,2862)(1836,2861)(1837,2860)(1838,2859)(1839,2858)(1840,2857)(1841,2856)(1842,2855)(1843,2854)(1844,2853)(1845,2852)(1846,2851)(1847,2850)(1848,2849)(1849,2848)(1850,2847)(1851,2846)(1852,2845)(1853,2844)(1854,2843)(1855,2842)(1856,2841)(1857,2840)(1858,2839)(1859,2838)(1860,2837)(1861,2836)(1862,2835)(1863,2834)(1864,2833)(1865,2832)(1866,2831)(1867,2830)(1868,2829)(1869,2828)(1870,2827)(1871,2826)(1872,2825)(1873,2824)(1874,2823)(1875,2822)(1876,2821)(1877,2820)(1878,2819)(1879,2818)(1880,2817)(1881,2816)(1882,2815)(1883,2814)(1884,2813)(1885,2812)(1886,2811)(1887,2810)(1888,2809)(1889,2808)(1890,2807)(1891,2806)(1892,2805)(1893,2804)(1894,2803)(1895,2802)(1896,2801)(1897,2800)(1898,2799)(1899,2798)(1900,2797)(1901,2796)(1902,2795)(1903,2794)(1904,2793)(1905,2792)(1906,2791)(1907,2790)(1908,2789)(1909,2788)(1910,2787)(1911,2786)(1912,2785)(1913,2784)(1914,2783)(1915,2782)(1916,2781)(1917,2780)(1918,2779)(1919,2778)(1920,2777)(1921,2776)(1922,2775)(1923,2774)(1924,2773)(1925,2772)(1926,2771)(1927,2770)(1928,2769)(1929,2768)(1930,2767)(1931,2766)(1932,2765)(1933,2764)(1934,2763)(1935,2762)(1936,2761)(1937,2760)(1938,2759)(1939,2758)(1940,2757)(1941,2756)(1942,2755)(1943,2754)(1944,2753)(1945,2752)(1946,2751)(1947,2750)(1948,2749)(1949,2748)(1950,2747)(1951,2746)(1952,2745)(1953,2744)(1954,2743)(1955,2742)(1956,2741)(1957,2740)(1958,2739)(1959,2738)(1960,2737)(1961,2736)(1962,2735)(1963,2734)(1964,2733)(1965,2732)(1966,2731)(1967,2730)(1968,2729)(1969,2728)(1970,2727)(1971,2726)(1972,2725)(1973,2724)(1974,2723)(1975,2722)(1976,2721)(1977,2720)(1978,2719)(1979,2718)(1980,2717)(1981,2716)(1982,2715)(1983,2714)(1984,2713)(1985,2712)(1986,2711)(1987,2710)(1988,2709)(1989,2708)(1990,2707)(1991,2706)(1992,2705)(1993,2704)(1994,2703)(1995,2702)(1996,2701)(1997,2700)(1998,2699)(1999,2698)(2000,2697)(2001,2696)(2002,2695)(2003,2694)(2004,2693)(2005,2692)(2006,2691)(2007,2690)(2008,2689)(2009,2688)(2010,2687)(2011,2686)(2012,2685)(2013,2684)(2014,2683)(2015,2682)(2016,2681)(2017,2680)(2018,2679)(2019,2678)(2020,2677)(2021,2676)(2022,2675)(2023,2674)(2024,2673)(2025,2672)(2026,2671)(2027,2670)(2028,2669)(2029,2668)(2030,2667)(2031,2666)(2032,2665)(2033,2664)(2034,2663)(2035,2662)(2036,2661)(2037,2660)(2038,2659)(2039,2658)(2040,2657)(2041,2656)(2042,2655)(2043,2654)(2044,2653)(2045,2652)(2046,2651)(2047,2650)(2048,2649)(2049,2648)(2050,2647)(2051,2646)(2052,2645)(2053,2644)(2054,2643)(2055,2642)(2056,2641)(2057,2640)(2058,2639)(2059,2638)(2060,2637)(2061,2636)(2062,2635)(2063,2634)(2064,2633)(2065,2632)(2066,2631)(2067,2630)(2068,2629)(2069,2628)(2070,2627)(2071,2626)(2072,2625)(2073,2624)(2074,2623)(2075,2622)(2076,2621)(2077,2620)(2078,2619)(2079,2618)(2080,2617)(2081,2616)(2082,2615)(2083,2614)(2084,2613)(2085,2612)(2086,2611)(2087,2610)(2088,2609)(2089,2608)(2090,2607)(2091,2606)(2092,2605)(2093,2604)(2094,2603)(2095,2602)(2096,2601)(2097,2600)(2098,2599)(2099,2598)(2100,2597)(2101,2596)(2102,2595)(2103,2594)(2104,2593)(2105,2592)(2106,2591)(2107,2590)(2108,2589)(2109,2588)(2110,2587)(2111,2586)(2112,2585)(2113,2584)(2114,2583)(2115,2582)(2116,2581)(2117,2580)(2118,2579)(2119,2578)(2120,2577)(2121,2576)(2122,2575)(2123,2574)(2124,2573)(2125,2572)(2126,2571)(2127,2570)(2128,2569)(2129,2568)(2130,2567)(2131,2566)(2132,2565)(2133,2564)(2134,2563)(2135,2562)(2136,2561)(2137,2560)(2138,2559)(2139,2558)(2140,2557)(2141,2556)(2142,2555)(2143,2554)(2144,2553)(2145,2552)(2146,2551)(2147,2550)(2148,2549)(2149,2548)(2150,2547)(2151,2546)(2152,2545)(2153,2544)(2154,2543)(2155,2542)(2156,2541)(2157,2540)(2158,2539)(2159,2538)(2160,2537)(2161,2536)(2162,2535)(2163,2534)(2164,2533)(2165,2532)(2166,2531)(2167,2530)(2168,2529)(2169,2528)(2170,2527)(2171,2526)(2172,2525)(2173,2524)(2174,2523)(2175,2522)(2176,2521)(2177,2520)(2178,2519)(2179,2518)(2180,2517)(2181,2516)(2182,2515)(2183,2514)(2184,2513)(2185,2512)(2186,2511)(2187,2510)(2188,2509)(2189,2508)(2190,2507)(2191,2506)(2192,2505)(2193,2504)(2194,2503)(2195,2502)(2196,2501)(2197,2500)(2198,2499)(2199,2498)(2200,2497)(2201,2496)(2202,2495)(2203,2494)(2204,2493)(2205,2492)(2206,2491)(2207,2490)(2208,2489)(2209,2488)(2210,2487)(2211,2486)(2212,2485)(2213,2484)(2214,2483)(2215,2482)(2216,2481)(2217,2480)(2218,2479)(2219,2478)(2220,2477)(2221,2476)(2222,2475)(2223,2474)(2224,2473)(2225,2472)(2226,2471)(2227,2470)(2228,2469)(2229,2468)(2230,2467)(2231,2466)(2232,2465)(2233,2464)(2234,2463)(2235,2462)(2236,2461)(2237,2460)(2238,2459)(2239,2458)(2240,2457)(2241,2456)(2242,2455)(2243,2454)(2244,2453)(2245,2452)(2246,2451)(2247,2450)(2248,2449)(2249,2448)(2250,2447)(2251,2446)(2252,2445)(2253,2444)(2254,2443)(2255,2442)(2256,2441)(2257,2440)(2258,2439)(2259,2438)(2260,2437)(2261,2436)(2262,2435)(2263,2434)(2264,2433)(2265,2432)(2266,2431)(2267,2430)(2268,2429)(2269,2428)(2270,2427)(2271,2426)(2272,2425)(2273,2424)(2274,2423)(2275,2422)(2276,2421)(2277,2420)(2278,2419)(2279,2418)(2280,2417)(2281,2416)(2282,2415)(2283,2414)(2284,2413)(2285,2412)(2286,2411)(2287,2410)(2288,2409)(2289,2408)(2290,2407)(2291,2406)(2292,2405)(2293,2404)(2294,2403)(2295,2402)(2296,2401)(2297,2400)(2298,2399)(2299,2398)(2300,2397)(2301,2396)(2302,2395)(2303,2394)(2304,2393)(2305,2392)(2306,2391)(2307,2390)(2308,2389)(2309,2388)(2310,2387)(2311,2386)(2312,2385)(2313,2384)(2314,2383)(2315,2382)(2316,2381)(2317,2380)(2318,2379)(2319,2378)(2320,2377)(2321,2376)(2322,2375)(2323,2374)(2324,2373)(2325,2372)(2326,2371)(2327,2370)(2328,2369)(2329,2368)(2330,2367)(2331,2366)(2332,2365)(2333,2364)(2334,2363)(2335,2362)(2336,2361)(2337,2360)(2338,2359)(2339,2358)(2340,2357)(2341,2356)(2342,2355)(2343,2354)(2344,2353)(2345,2352)(2346,2351)(2347,2350)(2348,2349)
Conjugacy classes & character table
4694 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18764, 3);
Finite Group Databasebeta