← Prev (#31801882) Next (#31801884) →
Aliases
Splittings
Subgroups
10 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 4449 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);(4,4449)(5,4448)(6,4447)(7,4446)(8,4445)(9,4444)(10,4443)(11,4442)(12,4441)(13,4440)(14,4439)(15,4438)(16,4437)(17,4436)(18,4435)(19,4434)(20,4433)(21,4432)(22,4431)(23,4430)(24,4429)(25,4428)(26,4427)(27,4426)(28,4425)(29,4424)(30,4423)(31,4422)(32,4421)(33,4420)(34,4419)(35,4418)(36,4417)(37,4416)(38,4415)(39,4414)(40,4413)(41,4412)(42,4411)(43,4410)(44,4409)(45,4408)(46,4407)(47,4406)(48,4405)(49,4404)(50,4403)(51,4402)(52,4401)(53,4400)(54,4399)(55,4398)(56,4397)(57,4396)(58,4395)(59,4394)(60,4393)(61,4392)(62,4391)(63,4390)(64,4389)(65,4388)(66,4387)(67,4386)(68,4385)(69,4384)(70,4383)(71,4382)(72,4381)(73,4380)(74,4379)(75,4378)(76,4377)(77,4376)(78,4375)(79,4374)(80,4373)(81,4372)(82,4371)(83,4370)(84,4369)(85,4368)(86,4367)(87,4366)(88,4365)(89,4364)(90,4363)(91,4362)(92,4361)(93,4360)(94,4359)(95,4358)(96,4357)(97,4356)(98,4355)(99,4354)(100,4353)(101,4352)(102,4351)(103,4350)(104,4349)(105,4348)(106,4347)(107,4346)(108,4345)(109,4344)(110,4343)(111,4342)(112,4341)(113,4340)(114,4339)(115,4338)(116,4337)(117,4336)(118,4335)(119,4334)(120,4333)(121,4332)(122,4331)(123,4330)(124,4329)(125,4328)(126,4327)(127,4326)(128,4325)(129,4324)(130,4323)(131,4322)(132,4321)(133,4320)(134,4319)(135,4318)(136,4317)(137,4316)(138,4315)(139,4314)(140,4313)(141,4312)(142,4311)(143,4310)(144,4309)(145,4308)(146,4307)(147,4306)(148,4305)(149,4304)(150,4303)(151,4302)(152,4301)(153,4300)(154,4299)(155,4298)(156,4297)(157,4296)(158,4295)(159,4294)(160,4293)(161,4292)(162,4291)(163,4290)(164,4289)(165,4288)(166,4287)(167,4286)(168,4285)(169,4284)(170,4283)(171,4282)(172,4281)(173,4280)(174,4279)(175,4278)(176,4277)(177,4276)(178,4275)(179,4274)(180,4273)(181,4272)(182,4271)(183,4270)(184,4269)(185,4268)(186,4267)(187,4266)(188,4265)(189,4264)(190,4263)(191,4262)(192,4261)(193,4260)(194,4259)(195,4258)(196,4257)(197,4256)(198,4255)(199,4254)(200,4253)(201,4252)(202,4251)(203,4250)(204,4249)(205,4248)(206,4247)(207,4246)(208,4245)(209,4244)(210,4243)(211,4242)(212,4241)(213,4240)(214,4239)(215,4238)(216,4237)(217,4236)(218,4235)(219,4234)(220,4233)(221,4232)(222,4231)(223,4230)(224,4229)(225,4228)(226,4227)(227,4226)(228,4225)(229,4224)(230,4223)(231,4222)(232,4221)(233,4220)(234,4219)(235,4218)(236,4217)(237,4216)(238,4215)(239,4214)(240,4213)(241,4212)(242,4211)(243,4210)(244,4209)(245,4208)(246,4207)(247,4206)(248,4205)(249,4204)(250,4203)(251,4202)(252,4201)(253,4200)(254,4199)(255,4198)(256,4197)(257,4196)(258,4195)(259,4194)(260,4193)(261,4192)(262,4191)(263,4190)(264,4189)(265,4188)(266,4187)(267,4186)(268,4185)(269,4184)(270,4183)(271,4182)(272,4181)(273,4180)(274,4179)(275,4178)(276,4177)(277,4176)(278,4175)(279,4174)(280,4173)(281,4172)(282,4171)(283,4170)(284,4169)(285,4168)(286,4167)(287,4166)(288,4165)(289,4164)(290,4163)(291,4162)(292,4161)(293,4160)(294,4159)(295,4158)(296,4157)(297,4156)(298,4155)(299,4154)(300,4153)(301,4152)(302,4151)(303,4150)(304,4149)(305,4148)(306,4147)(307,4146)(308,4145)(309,4144)(310,4143)(311,4142)(312,4141)(313,4140)(314,4139)(315,4138)(316,4137)(317,4136)(318,4135)(319,4134)(320,4133)(321,4132)(322,4131)(323,4130)(324,4129)(325,4128)(326,4127)(327,4126)(328,4125)(329,4124)(330,4123)(331,4122)(332,4121)(333,4120)(334,4119)(335,4118)(336,4117)(337,4116)(338,4115)(339,4114)(340,4113)(341,4112)(342,4111)(343,4110)(344,4109)(345,4108)(346,4107)(347,4106)(348,4105)(349,4104)(350,4103)(351,4102)(352,4101)(353,4100)(354,4099)(355,4098)(356,4097)(357,4096)(358,4095)(359,4094)(360,4093)(361,4092)(362,4091)(363,4090)(364,4089)(365,4088)(366,4087)(367,4086)(368,4085)(369,4084)(370,4083)(371,4082)(372,4081)(373,4080)(374,4079)(375,4078)(376,4077)(377,4076)(378,4075)(379,4074)(380,4073)(381,4072)(382,4071)(383,4070)(384,4069)(385,4068)(386,4067)(387,4066)(388,4065)(389,4064)(390,4063)(391,4062)(392,4061)(393,4060)(394,4059)(395,4058)(396,4057)(397,4056)(398,4055)(399,4054)(400,4053)(401,4052)(402,4051)(403,4050)(404,4049)(405,4048)(406,4047)(407,4046)(408,4045)(409,4044)(410,4043)(411,4042)(412,4041)(413,4040)(414,4039)(415,4038)(416,4037)(417,4036)(418,4035)(419,4034)(420,4033)(421,4032)(422,4031)(423,4030)(424,4029)(425,4028)(426,4027)(427,4026)(428,4025)(429,4024)(430,4023)(431,4022)(432,4021)(433,4020)(434,4019)(435,4018)(436,4017)(437,4016)(438,4015)(439,4014)(440,4013)(441,4012)(442,4011)(443,4010)(444,4009)(445,4008)(446,4007)(447,4006)(448,4005)(449,4004)(450,4003)(451,4002)(452,4001)(453,4000)(454,3999)(455,3998)(456,3997)(457,3996)(458,3995)(459,3994)(460,3993)(461,3992)(462,3991)(463,3990)(464,3989)(465,3988)(466,3987)(467,3986)(468,3985)(469,3984)(470,3983)(471,3982)(472,3981)(473,3980)(474,3979)(475,3978)(476,3977)(477,3976)(478,3975)(479,3974)(480,3973)(481,3972)(482,3971)(483,3970)(484,3969)(485,3968)(486,3967)(487,3966)(488,3965)(489,3964)(490,3963)(491,3962)(492,3961)(493,3960)(494,3959)(495,3958)(496,3957)(497,3956)(498,3955)(499,3954)(500,3953)(501,3952)(502,3951)(503,3950)(504,3949)(505,3948)(506,3947)(507,3946)(508,3945)(509,3944)(510,3943)(511,3942)(512,3941)(513,3940)(514,3939)(515,3938)(516,3937)(517,3936)(518,3935)(519,3934)(520,3933)(521,3932)(522,3931)(523,3930)(524,3929)(525,3928)(526,3927)(527,3926)(528,3925)(529,3924)(530,3923)(531,3922)(532,3921)(533,3920)(534,3919)(535,3918)(536,3917)(537,3916)(538,3915)(539,3914)(540,3913)(541,3912)(542,3911)(543,3910)(544,3909)(545,3908)(546,3907)(547,3906)(548,3905)(549,3904)(550,3903)(551,3902)(552,3901)(553,3900)(554,3899)(555,3898)(556,3897)(557,3896)(558,3895)(559,3894)(560,3893)(561,3892)(562,3891)(563,3890)(564,3889)(565,3888)(566,3887)(567,3886)(568,3885)(569,3884)(570,3883)(571,3882)(572,3881)(573,3880)(574,3879)(575,3878)(576,3877)(577,3876)(578,3875)(579,3874)(580,3873)(581,3872)(582,3871)(583,3870)(584,3869)(585,3868)(586,3867)(587,3866)(588,3865)(589,3864)(590,3863)(591,3862)(592,3861)(593,3860)(594,3859)(595,3858)(596,3857)(597,3856)(598,3855)(599,3854)(600,3853)(601,3852)(602,3851)(603,3850)(604,3849)(605,3848)(606,3847)(607,3846)(608,3845)(609,3844)(610,3843)(611,3842)(612,3841)(613,3840)(614,3839)(615,3838)(616,3837)(617,3836)(618,3835)(619,3834)(620,3833)(621,3832)(622,3831)(623,3830)(624,3829)(625,3828)(626,3827)(627,3826)(628,3825)(629,3824)(630,3823)(631,3822)(632,3821)(633,3820)(634,3819)(635,3818)(636,3817)(637,3816)(638,3815)(639,3814)(640,3813)(641,3812)(642,3811)(643,3810)(644,3809)(645,3808)(646,3807)(647,3806)(648,3805)(649,3804)(650,3803)(651,3802)(652,3801)(653,3800)(654,3799)(655,3798)(656,3797)(657,3796)(658,3795)(659,3794)(660,3793)(661,3792)(662,3791)(663,3790)(664,3789)(665,3788)(666,3787)(667,3786)(668,3785)(669,3784)(670,3783)(671,3782)(672,3781)(673,3780)(674,3779)(675,3778)(676,3777)(677,3776)(678,3775)(679,3774)(680,3773)(681,3772)(682,3771)(683,3770)(684,3769)(685,3768)(686,3767)(687,3766)(688,3765)(689,3764)(690,3763)(691,3762)(692,3761)(693,3760)(694,3759)(695,3758)(696,3757)(697,3756)(698,3755)(699,3754)(700,3753)(701,3752)(702,3751)(703,3750)(704,3749)(705,3748)(706,3747)(707,3746)(708,3745)(709,3744)(710,3743)(711,3742)(712,3741)(713,3740)(714,3739)(715,3738)(716,3737)(717,3736)(718,3735)(719,3734)(720,3733)(721,3732)(722,3731)(723,3730)(724,3729)(725,3728)(726,3727)(727,3726)(728,3725)(729,3724)(730,3723)(731,3722)(732,3721)(733,3720)(734,3719)(735,3718)(736,3717)(737,3716)(738,3715)(739,3714)(740,3713)(741,3712)(742,3711)(743,3710)(744,3709)(745,3708)(746,3707)(747,3706)(748,3705)(749,3704)(750,3703)(751,3702)(752,3701)(753,3700)(754,3699)(755,3698)(756,3697)(757,3696)(758,3695)(759,3694)(760,3693)(761,3692)(762,3691)(763,3690)(764,3689)(765,3688)(766,3687)(767,3686)(768,3685)(769,3684)(770,3683)(771,3682)(772,3681)(773,3680)(774,3679)(775,3678)(776,3677)(777,3676)(778,3675)(779,3674)(780,3673)(781,3672)(782,3671)(783,3670)(784,3669)(785,3668)(786,3667)(787,3666)(788,3665)(789,3664)(790,3663)(791,3662)(792,3661)(793,3660)(794,3659)(795,3658)(796,3657)(797,3656)(798,3655)(799,3654)(800,3653)(801,3652)(802,3651)(803,3650)(804,3649)(805,3648)(806,3647)(807,3646)(808,3645)(809,3644)(810,3643)(811,3642)(812,3641)(813,3640)(814,3639)(815,3638)(816,3637)(817,3636)(818,3635)(819,3634)(820,3633)(821,3632)(822,3631)(823,3630)(824,3629)(825,3628)(826,3627)(827,3626)(828,3625)(829,3624)(830,3623)(831,3622)(832,3621)(833,3620)(834,3619)(835,3618)(836,3617)(837,3616)(838,3615)(839,3614)(840,3613)(841,3612)(842,3611)(843,3610)(844,3609)(845,3608)(846,3607)(847,3606)(848,3605)(849,3604)(850,3603)(851,3602)(852,3601)(853,3600)(854,3599)(855,3598)(856,3597)(857,3596)(858,3595)(859,3594)(860,3593)(861,3592)(862,3591)(863,3590)(864,3589)(865,3588)(866,3587)(867,3586)(868,3585)(869,3584)(870,3583)(871,3582)(872,3581)(873,3580)(874,3579)(875,3578)(876,3577)(877,3576)(878,3575)(879,3574)(880,3573)(881,3572)(882,3571)(883,3570)(884,3569)(885,3568)(886,3567)(887,3566)(888,3565)(889,3564)(890,3563)(891,3562)(892,3561)(893,3560)(894,3559)(895,3558)(896,3557)(897,3556)(898,3555)(899,3554)(900,3553)(901,3552)(902,3551)(903,3550)(904,3549)(905,3548)(906,3547)(907,3546)(908,3545)(909,3544)(910,3543)(911,3542)(912,3541)(913,3540)(914,3539)(915,3538)(916,3537)(917,3536)(918,3535)(919,3534)(920,3533)(921,3532)(922,3531)(923,3530)(924,3529)(925,3528)(926,3527)(927,3526)(928,3525)(929,3524)(930,3523)(931,3522)(932,3521)(933,3520)(934,3519)(935,3518)(936,3517)(937,3516)(938,3515)(939,3514)(940,3513)(941,3512)(942,3511)(943,3510)(944,3509)(945,3508)(946,3507)(947,3506)(948,3505)(949,3504)(950,3503)(951,3502)(952,3501)(953,3500)(954,3499)(955,3498)(956,3497)(957,3496)(958,3495)(959,3494)(960,3493)(961,3492)(962,3491)(963,3490)(964,3489)(965,3488)(966,3487)(967,3486)(968,3485)(969,3484)(970,3483)(971,3482)(972,3481)(973,3480)(974,3479)(975,3478)(976,3477)(977,3476)(978,3475)(979,3474)(980,3473)(981,3472)(982,3471)(983,3470)(984,3469)(985,3468)(986,3467)(987,3466)(988,3465)(989,3464)(990,3463)(991,3462)(992,3461)(993,3460)(994,3459)(995,3458)(996,3457)(997,3456)(998,3455)(999,3454)(1000,3453)(1001,3452)(1002,3451)(1003,3450)(1004,3449)(1005,3448)(1006,3447)(1007,3446)(1008,3445)(1009,3444)(1010,3443)(1011,3442)(1012,3441)(1013,3440)(1014,3439)(1015,3438)(1016,3437)(1017,3436)(1018,3435)(1019,3434)(1020,3433)(1021,3432)(1022,3431)(1023,3430)(1024,3429)(1025,3428)(1026,3427)(1027,3426)(1028,3425)(1029,3424)(1030,3423)(1031,3422)(1032,3421)(1033,3420)(1034,3419)(1035,3418)(1036,3417)(1037,3416)(1038,3415)(1039,3414)(1040,3413)(1041,3412)(1042,3411)(1043,3410)(1044,3409)(1045,3408)(1046,3407)(1047,3406)(1048,3405)(1049,3404)(1050,3403)(1051,3402)(1052,3401)(1053,3400)(1054,3399)(1055,3398)(1056,3397)(1057,3396)(1058,3395)(1059,3394)(1060,3393)(1061,3392)(1062,3391)(1063,3390)(1064,3389)(1065,3388)(1066,3387)(1067,3386)(1068,3385)(1069,3384)(1070,3383)(1071,3382)(1072,3381)(1073,3380)(1074,3379)(1075,3378)(1076,3377)(1077,3376)(1078,3375)(1079,3374)(1080,3373)(1081,3372)(1082,3371)(1083,3370)(1084,3369)(1085,3368)(1086,3367)(1087,3366)(1088,3365)(1089,3364)(1090,3363)(1091,3362)(1092,3361)(1093,3360)(1094,3359)(1095,3358)(1096,3357)(1097,3356)(1098,3355)(1099,3354)(1100,3353)(1101,3352)(1102,3351)(1103,3350)(1104,3349)(1105,3348)(1106,3347)(1107,3346)(1108,3345)(1109,3344)(1110,3343)(1111,3342)(1112,3341)(1113,3340)(1114,3339)(1115,3338)(1116,3337)(1117,3336)(1118,3335)(1119,3334)(1120,3333)(1121,3332)(1122,3331)(1123,3330)(1124,3329)(1125,3328)(1126,3327)(1127,3326)(1128,3325)(1129,3324)(1130,3323)(1131,3322)(1132,3321)(1133,3320)(1134,3319)(1135,3318)(1136,3317)(1137,3316)(1138,3315)(1139,3314)(1140,3313)(1141,3312)(1142,3311)(1143,3310)(1144,3309)(1145,3308)(1146,3307)(1147,3306)(1148,3305)(1149,3304)(1150,3303)(1151,3302)(1152,3301)(1153,3300)(1154,3299)(1155,3298)(1156,3297)(1157,3296)(1158,3295)(1159,3294)(1160,3293)(1161,3292)(1162,3291)(1163,3290)(1164,3289)(1165,3288)(1166,3287)(1167,3286)(1168,3285)(1169,3284)(1170,3283)(1171,3282)(1172,3281)(1173,3280)(1174,3279)(1175,3278)(1176,3277)(1177,3276)(1178,3275)(1179,3274)(1180,3273)(1181,3272)(1182,3271)(1183,3270)(1184,3269)(1185,3268)(1186,3267)(1187,3266)(1188,3265)(1189,3264)(1190,3263)(1191,3262)(1192,3261)(1193,3260)(1194,3259)(1195,3258)(1196,3257)(1197,3256)(1198,3255)(1199,3254)(1200,3253)(1201,3252)(1202,3251)(1203,3250)(1204,3249)(1205,3248)(1206,3247)(1207,3246)(1208,3245)(1209,3244)(1210,3243)(1211,3242)(1212,3241)(1213,3240)(1214,3239)(1215,3238)(1216,3237)(1217,3236)(1218,3235)(1219,3234)(1220,3233)(1221,3232)(1222,3231)(1223,3230)(1224,3229)(1225,3228)(1226,3227)(1227,3226)(1228,3225)(1229,3224)(1230,3223)(1231,3222)(1232,3221)(1233,3220)(1234,3219)(1235,3218)(1236,3217)(1237,3216)(1238,3215)(1239,3214)(1240,3213)(1241,3212)(1242,3211)(1243,3210)(1244,3209)(1245,3208)(1246,3207)(1247,3206)(1248,3205)(1249,3204)(1250,3203)(1251,3202)(1252,3201)(1253,3200)(1254,3199)(1255,3198)(1256,3197)(1257,3196)(1258,3195)(1259,3194)(1260,3193)(1261,3192)(1262,3191)(1263,3190)(1264,3189)(1265,3188)(1266,3187)(1267,3186)(1268,3185)(1269,3184)(1270,3183)(1271,3182)(1272,3181)(1273,3180)(1274,3179)(1275,3178)(1276,3177)(1277,3176)(1278,3175)(1279,3174)(1280,3173)(1281,3172)(1282,3171)(1283,3170)(1284,3169)(1285,3168)(1286,3167)(1287,3166)(1288,3165)(1289,3164)(1290,3163)(1291,3162)(1292,3161)(1293,3160)(1294,3159)(1295,3158)(1296,3157)(1297,3156)(1298,3155)(1299,3154)(1300,3153)(1301,3152)(1302,3151)(1303,3150)(1304,3149)(1305,3148)(1306,3147)(1307,3146)(1308,3145)(1309,3144)(1310,3143)(1311,3142)(1312,3141)(1313,3140)(1314,3139)(1315,3138)(1316,3137)(1317,3136)(1318,3135)(1319,3134)(1320,3133)(1321,3132)(1322,3131)(1323,3130)(1324,3129)(1325,3128)(1326,3127)(1327,3126)(1328,3125)(1329,3124)(1330,3123)(1331,3122)(1332,3121)(1333,3120)(1334,3119)(1335,3118)(1336,3117)(1337,3116)(1338,3115)(1339,3114)(1340,3113)(1341,3112)(1342,3111)(1343,3110)(1344,3109)(1345,3108)(1346,3107)(1347,3106)(1348,3105)(1349,3104)(1350,3103)(1351,3102)(1352,3101)(1353,3100)(1354,3099)(1355,3098)(1356,3097)(1357,3096)(1358,3095)(1359,3094)(1360,3093)(1361,3092)(1362,3091)(1363,3090)(1364,3089)(1365,3088)(1366,3087)(1367,3086)(1368,3085)(1369,3084)(1370,3083)(1371,3082)(1372,3081)(1373,3080)(1374,3079)(1375,3078)(1376,3077)(1377,3076)(1378,3075)(1379,3074)(1380,3073)(1381,3072)(1382,3071)(1383,3070)(1384,3069)(1385,3068)(1386,3067)(1387,3066)(1388,3065)(1389,3064)(1390,3063)(1391,3062)(1392,3061)(1393,3060)(1394,3059)(1395,3058)(1396,3057)(1397,3056)(1398,3055)(1399,3054)(1400,3053)(1401,3052)(1402,3051)(1403,3050)(1404,3049)(1405,3048)(1406,3047)(1407,3046)(1408,3045)(1409,3044)(1410,3043)(1411,3042)(1412,3041)(1413,3040)(1414,3039)(1415,3038)(1416,3037)(1417,3036)(1418,3035)(1419,3034)(1420,3033)(1421,3032)(1422,3031)(1423,3030)(1424,3029)(1425,3028)(1426,3027)(1427,3026)(1428,3025)(1429,3024)(1430,3023)(1431,3022)(1432,3021)(1433,3020)(1434,3019)(1435,3018)(1436,3017)(1437,3016)(1438,3015)(1439,3014)(1440,3013)(1441,3012)(1442,3011)(1443,3010)(1444,3009)(1445,3008)(1446,3007)(1447,3006)(1448,3005)(1449,3004)(1450,3003)(1451,3002)(1452,3001)(1453,3000)(1454,2999)(1455,2998)(1456,2997)(1457,2996)(1458,2995)(1459,2994)(1460,2993)(1461,2992)(1462,2991)(1463,2990)(1464,2989)(1465,2988)(1466,2987)(1467,2986)(1468,2985)(1469,2984)(1470,2983)(1471,2982)(1472,2981)(1473,2980)(1474,2979)(1475,2978)(1476,2977)(1477,2976)(1478,2975)(1479,2974)(1480,2973)(1481,2972)(1482,2971)(1483,2970)(1484,2969)(1485,2968)(1486,2967)(1487,2966)(1488,2965)(1489,2964)(1490,2963)(1491,2962)(1492,2961)(1493,2960)(1494,2959)(1495,2958)(1496,2957)(1497,2956)(1498,2955)(1499,2954)(1500,2953)(1501,2952)(1502,2951)(1503,2950)(1504,2949)(1505,2948)(1506,2947)(1507,2946)(1508,2945)(1509,2944)(1510,2943)(1511,2942)(1512,2941)(1513,2940)(1514,2939)(1515,2938)(1516,2937)(1517,2936)(1518,2935)(1519,2934)(1520,2933)(1521,2932)(1522,2931)(1523,2930)(1524,2929)(1525,2928)(1526,2927)(1527,2926)(1528,2925)(1529,2924)(1530,2923)(1531,2922)(1532,2921)(1533,2920)(1534,2919)(1535,2918)(1536,2917)(1537,2916)(1538,2915)(1539,2914)(1540,2913)(1541,2912)(1542,2911)(1543,2910)(1544,2909)(1545,2908)(1546,2907)(1547,2906)(1548,2905)(1549,2904)(1550,2903)(1551,2902)(1552,2901)(1553,2900)(1554,2899)(1555,2898)(1556,2897)(1557,2896)(1558,2895)(1559,2894)(1560,2893)(1561,2892)(1562,2891)(1563,2890)(1564,2889)(1565,2888)(1566,2887)(1567,2886)(1568,2885)(1569,2884)(1570,2883)(1571,2882)(1572,2881)(1573,2880)(1574,2879)(1575,2878)(1576,2877)(1577,2876)(1578,2875)(1579,2874)(1580,2873)(1581,2872)(1582,2871)(1583,2870)(1584,2869)(1585,2868)(1586,2867)(1587,2866)(1588,2865)(1589,2864)(1590,2863)(1591,2862)(1592,2861)(1593,2860)(1594,2859)(1595,2858)(1596,2857)(1597,2856)(1598,2855)(1599,2854)(1600,2853)(1601,2852)(1602,2851)(1603,2850)(1604,2849)(1605,2848)(1606,2847)(1607,2846)(1608,2845)(1609,2844)(1610,2843)(1611,2842)(1612,2841)(1613,2840)(1614,2839)(1615,2838)(1616,2837)(1617,2836)(1618,2835)(1619,2834)(1620,2833)(1621,2832)(1622,2831)(1623,2830)(1624,2829)(1625,2828)(1626,2827)(1627,2826)(1628,2825)(1629,2824)(1630,2823)(1631,2822)(1632,2821)(1633,2820)(1634,2819)(1635,2818)(1636,2817)(1637,2816)(1638,2815)(1639,2814)(1640,2813)(1641,2812)(1642,2811)(1643,2810)(1644,2809)(1645,2808)(1646,2807)(1647,2806)(1648,2805)(1649,2804)(1650,2803)(1651,2802)(1652,2801)(1653,2800)(1654,2799)(1655,2798)(1656,2797)(1657,2796)(1658,2795)(1659,2794)(1660,2793)(1661,2792)(1662,2791)(1663,2790)(1664,2789)(1665,2788)(1666,2787)(1667,2786)(1668,2785)(1669,2784)(1670,2783)(1671,2782)(1672,2781)(1673,2780)(1674,2779)(1675,2778)(1676,2777)(1677,2776)(1678,2775)(1679,2774)(1680,2773)(1681,2772)(1682,2771)(1683,2770)(1684,2769)(1685,2768)(1686,2767)(1687,2766)(1688,2765)(1689,2764)(1690,2763)(1691,2762)(1692,2761)(1693,2760)(1694,2759)(1695,2758)(1696,2757)(1697,2756)(1698,2755)(1699,2754)(1700,2753)(1701,2752)(1702,2751)(1703,2750)(1704,2749)(1705,2748)(1706,2747)(1707,2746)(1708,2745)(1709,2744)(1710,2743)(1711,2742)(1712,2741)(1713,2740)(1714,2739)(1715,2738)(1716,2737)(1717,2736)(1718,2735)(1719,2734)(1720,2733)(1721,2732)(1722,2731)(1723,2730)(1724,2729)(1725,2728)(1726,2727)(1727,2726)(1728,2725)(1729,2724)(1730,2723)(1731,2722)(1732,2721)(1733,2720)(1734,2719)(1735,2718)(1736,2717)(1737,2716)(1738,2715)(1739,2714)(1740,2713)(1741,2712)(1742,2711)(1743,2710)(1744,2709)(1745,2708)(1746,2707)(1747,2706)(1748,2705)(1749,2704)(1750,2703)(1751,2702)(1752,2701)(1753,2700)(1754,2699)(1755,2698)(1756,2697)(1757,2696)(1758,2695)(1759,2694)(1760,2693)(1761,2692)(1762,2691)(1763,2690)(1764,2689)(1765,2688)(1766,2687)(1767,2686)(1768,2685)(1769,2684)(1770,2683)(1771,2682)(1772,2681)(1773,2680)(1774,2679)(1775,2678)(1776,2677)(1777,2676)(1778,2675)(1779,2674)(1780,2673)(1781,2672)(1782,2671)(1783,2670)(1784,2669)(1785,2668)(1786,2667)(1787,2666)(1788,2665)(1789,2664)(1790,2663)(1791,2662)(1792,2661)(1793,2660)(1794,2659)(1795,2658)(1796,2657)(1797,2656)(1798,2655)(1799,2654)(1800,2653)(1801,2652)(1802,2651)(1803,2650)(1804,2649)(1805,2648)(1806,2647)(1807,2646)(1808,2645)(1809,2644)(1810,2643)(1811,2642)(1812,2641)(1813,2640)(1814,2639)(1815,2638)(1816,2637)(1817,2636)(1818,2635)(1819,2634)(1820,2633)(1821,2632)(1822,2631)(1823,2630)(1824,2629)(1825,2628)(1826,2627)(1827,2626)(1828,2625)(1829,2624)(1830,2623)(1831,2622)(1832,2621)(1833,2620)(1834,2619)(1835,2618)(1836,2617)(1837,2616)(1838,2615)(1839,2614)(1840,2613)(1841,2612)(1842,2611)(1843,2610)(1844,2609)(1845,2608)(1846,2607)(1847,2606)(1848,2605)(1849,2604)(1850,2603)(1851,2602)(1852,2601)(1853,2600)(1854,2599)(1855,2598)(1856,2597)(1857,2596)(1858,2595)(1859,2594)(1860,2593)(1861,2592)(1862,2591)(1863,2590)(1864,2589)(1865,2588)(1866,2587)(1867,2586)(1868,2585)(1869,2584)(1870,2583)(1871,2582)(1872,2581)(1873,2580)(1874,2579)(1875,2578)(1876,2577)(1877,2576)(1878,2575)(1879,2574)(1880,2573)(1881,2572)(1882,2571)(1883,2570)(1884,2569)(1885,2568)(1886,2567)(1887,2566)(1888,2565)(1889,2564)(1890,2563)(1891,2562)(1892,2561)(1893,2560)(1894,2559)(1895,2558)(1896,2557)(1897,2556)(1898,2555)(1899,2554)(1900,2553)(1901,2552)(1902,2551)(1903,2550)(1904,2549)(1905,2548)(1906,2547)(1907,2546)(1908,2545)(1909,2544)(1910,2543)(1911,2542)(1912,2541)(1913,2540)(1914,2539)(1915,2538)(1916,2537)(1917,2536)(1918,2535)(1919,2534)(1920,2533)(1921,2532)(1922,2531)(1923,2530)(1924,2529)(1925,2528)(1926,2527)(1927,2526)(1928,2525)(1929,2524)(1930,2523)(1931,2522)(1932,2521)(1933,2520)(1934,2519)(1935,2518)(1936,2517)(1937,2516)(1938,2515)(1939,2514)(1940,2513)(1941,2512)(1942,2511)(1943,2510)(1944,2509)(1945,2508)(1946,2507)(1947,2506)(1948,2505)(1949,2504)(1950,2503)(1951,2502)(1952,2501)(1953,2500)(1954,2499)(1955,2498)(1956,2497)(1957,2496)(1958,2495)(1959,2494)(1960,2493)(1961,2492)(1962,2491)(1963,2490)(1964,2489)(1965,2488)(1966,2487)(1967,2486)(1968,2485)(1969,2484)(1970,2483)(1971,2482)(1972,2481)(1973,2480)(1974,2479)(1975,2478)(1976,2477)(1977,2476)(1978,2475)(1979,2474)(1980,2473)(1981,2472)(1982,2471)(1983,2470)(1984,2469)(1985,2468)(1986,2467)(1987,2466)(1988,2465)(1989,2464)(1990,2463)(1991,2462)(1992,2461)(1993,2460)(1994,2459)(1995,2458)(1996,2457)(1997,2456)(1998,2455)(1999,2454)(2000,2453)(2001,2452)(2002,2451)(2003,2450)(2004,2449)(2005,2448)(2006,2447)(2007,2446)(2008,2445)(2009,2444)(2010,2443)(2011,2442)(2012,2441)(2013,2440)(2014,2439)(2015,2438)(2016,2437)(2017,2436)(2018,2435)(2019,2434)(2020,2433)(2021,2432)(2022,2431)(2023,2430)(2024,2429)(2025,2428)(2026,2427)(2027,2426)(2028,2425)(2029,2424)(2030,2423)(2031,2422)(2032,2421)(2033,2420)(2034,2419)(2035,2418)(2036,2417)(2037,2416)(2038,2415)(2039,2414)(2040,2413)(2041,2412)(2042,2411)(2043,2410)(2044,2409)(2045,2408)(2046,2407)(2047,2406)(2048,2405)(2049,2404)(2050,2403)(2051,2402)(2052,2401)(2053,2400)(2054,2399)(2055,2398)(2056,2397)(2057,2396)(2058,2395)(2059,2394)(2060,2393)(2061,2392)(2062,2391)(2063,2390)(2064,2389)(2065,2388)(2066,2387)(2067,2386)(2068,2385)(2069,2384)(2070,2383)(2071,2382)(2072,2381)(2073,2380)(2074,2379)(2075,2378)(2076,2377)(2077,2376)(2078,2375)(2079,2374)(2080,2373)(2081,2372)(2082,2371)(2083,2370)(2084,2369)(2085,2368)(2086,2367)(2087,2366)(2088,2365)(2089,2364)(2090,2363)(2091,2362)(2092,2361)(2093,2360)(2094,2359)(2095,2358)(2096,2357)(2097,2356)(2098,2355)(2099,2354)(2100,2353)(2101,2352)(2102,2351)(2103,2350)(2104,2349)(2105,2348)(2106,2347)(2107,2346)(2108,2345)(2109,2344)(2110,2343)(2111,2342)(2112,2341)(2113,2340)(2114,2339)(2115,2338)(2116,2337)(2117,2336)(2118,2335)(2119,2334)(2120,2333)(2121,2332)(2122,2331)(2123,2330)(2124,2329)(2125,2328)(2126,2327)(2127,2326)(2128,2325)(2129,2324)(2130,2323)(2131,2322)(2132,2321)(2133,2320)(2134,2319)(2135,2318)(2136,2317)(2137,2316)(2138,2315)(2139,2314)(2140,2313)(2141,2312)(2142,2311)(2143,2310)(2144,2309)(2145,2308)(2146,2307)(2147,2306)(2148,2305)(2149,2304)(2150,2303)(2151,2302)(2152,2301)(2153,2300)(2154,2299)(2155,2298)(2156,2297)(2157,2296)(2158,2295)(2159,2294)(2160,2293)(2161,2292)(2162,2291)(2163,2290)(2164,2289)(2165,2288)(2166,2287)(2167,2286)(2168,2285)(2169,2284)(2170,2283)(2171,2282)(2172,2281)(2173,2280)(2174,2279)(2175,2278)(2176,2277)(2177,2276)(2178,2275)(2179,2274)(2180,2273)(2181,2272)(2182,2271)(2183,2270)(2184,2269)(2185,2268)(2186,2267)(2187,2266)(2188,2265)(2189,2264)(2190,2263)(2191,2262)(2192,2261)(2193,2260)(2194,2259)(2195,2258)(2196,2257)(2197,2256)(2198,2255)(2199,2254)(2200,2253)(2201,2252)(2202,2251)(2203,2250)(2204,2249)(2205,2248)(2206,2247)(2207,2246)(2208,2245)(2209,2244)(2210,2243)(2211,2242)(2212,2241)(2213,2240)(2214,2239)(2215,2238)(2216,2237)(2217,2236)(2218,2235)(2219,2234)(2220,2233)(2221,2232)(2222,2231)(2223,2230)(2224,2229)(2225,2228)(2226,2227)
Conjugacy classes & character table
4450 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17788, 3);
Finite Group Databasebeta