← Prev (#31798475) Next (#31798477) →
Aliases
Splittings
Subgroups
10 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 4399 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);(4,4399)(5,4398)(6,4397)(7,4396)(8,4395)(9,4394)(10,4393)(11,4392)(12,4391)(13,4390)(14,4389)(15,4388)(16,4387)(17,4386)(18,4385)(19,4384)(20,4383)(21,4382)(22,4381)(23,4380)(24,4379)(25,4378)(26,4377)(27,4376)(28,4375)(29,4374)(30,4373)(31,4372)(32,4371)(33,4370)(34,4369)(35,4368)(36,4367)(37,4366)(38,4365)(39,4364)(40,4363)(41,4362)(42,4361)(43,4360)(44,4359)(45,4358)(46,4357)(47,4356)(48,4355)(49,4354)(50,4353)(51,4352)(52,4351)(53,4350)(54,4349)(55,4348)(56,4347)(57,4346)(58,4345)(59,4344)(60,4343)(61,4342)(62,4341)(63,4340)(64,4339)(65,4338)(66,4337)(67,4336)(68,4335)(69,4334)(70,4333)(71,4332)(72,4331)(73,4330)(74,4329)(75,4328)(76,4327)(77,4326)(78,4325)(79,4324)(80,4323)(81,4322)(82,4321)(83,4320)(84,4319)(85,4318)(86,4317)(87,4316)(88,4315)(89,4314)(90,4313)(91,4312)(92,4311)(93,4310)(94,4309)(95,4308)(96,4307)(97,4306)(98,4305)(99,4304)(100,4303)(101,4302)(102,4301)(103,4300)(104,4299)(105,4298)(106,4297)(107,4296)(108,4295)(109,4294)(110,4293)(111,4292)(112,4291)(113,4290)(114,4289)(115,4288)(116,4287)(117,4286)(118,4285)(119,4284)(120,4283)(121,4282)(122,4281)(123,4280)(124,4279)(125,4278)(126,4277)(127,4276)(128,4275)(129,4274)(130,4273)(131,4272)(132,4271)(133,4270)(134,4269)(135,4268)(136,4267)(137,4266)(138,4265)(139,4264)(140,4263)(141,4262)(142,4261)(143,4260)(144,4259)(145,4258)(146,4257)(147,4256)(148,4255)(149,4254)(150,4253)(151,4252)(152,4251)(153,4250)(154,4249)(155,4248)(156,4247)(157,4246)(158,4245)(159,4244)(160,4243)(161,4242)(162,4241)(163,4240)(164,4239)(165,4238)(166,4237)(167,4236)(168,4235)(169,4234)(170,4233)(171,4232)(172,4231)(173,4230)(174,4229)(175,4228)(176,4227)(177,4226)(178,4225)(179,4224)(180,4223)(181,4222)(182,4221)(183,4220)(184,4219)(185,4218)(186,4217)(187,4216)(188,4215)(189,4214)(190,4213)(191,4212)(192,4211)(193,4210)(194,4209)(195,4208)(196,4207)(197,4206)(198,4205)(199,4204)(200,4203)(201,4202)(202,4201)(203,4200)(204,4199)(205,4198)(206,4197)(207,4196)(208,4195)(209,4194)(210,4193)(211,4192)(212,4191)(213,4190)(214,4189)(215,4188)(216,4187)(217,4186)(218,4185)(219,4184)(220,4183)(221,4182)(222,4181)(223,4180)(224,4179)(225,4178)(226,4177)(227,4176)(228,4175)(229,4174)(230,4173)(231,4172)(232,4171)(233,4170)(234,4169)(235,4168)(236,4167)(237,4166)(238,4165)(239,4164)(240,4163)(241,4162)(242,4161)(243,4160)(244,4159)(245,4158)(246,4157)(247,4156)(248,4155)(249,4154)(250,4153)(251,4152)(252,4151)(253,4150)(254,4149)(255,4148)(256,4147)(257,4146)(258,4145)(259,4144)(260,4143)(261,4142)(262,4141)(263,4140)(264,4139)(265,4138)(266,4137)(267,4136)(268,4135)(269,4134)(270,4133)(271,4132)(272,4131)(273,4130)(274,4129)(275,4128)(276,4127)(277,4126)(278,4125)(279,4124)(280,4123)(281,4122)(282,4121)(283,4120)(284,4119)(285,4118)(286,4117)(287,4116)(288,4115)(289,4114)(290,4113)(291,4112)(292,4111)(293,4110)(294,4109)(295,4108)(296,4107)(297,4106)(298,4105)(299,4104)(300,4103)(301,4102)(302,4101)(303,4100)(304,4099)(305,4098)(306,4097)(307,4096)(308,4095)(309,4094)(310,4093)(311,4092)(312,4091)(313,4090)(314,4089)(315,4088)(316,4087)(317,4086)(318,4085)(319,4084)(320,4083)(321,4082)(322,4081)(323,4080)(324,4079)(325,4078)(326,4077)(327,4076)(328,4075)(329,4074)(330,4073)(331,4072)(332,4071)(333,4070)(334,4069)(335,4068)(336,4067)(337,4066)(338,4065)(339,4064)(340,4063)(341,4062)(342,4061)(343,4060)(344,4059)(345,4058)(346,4057)(347,4056)(348,4055)(349,4054)(350,4053)(351,4052)(352,4051)(353,4050)(354,4049)(355,4048)(356,4047)(357,4046)(358,4045)(359,4044)(360,4043)(361,4042)(362,4041)(363,4040)(364,4039)(365,4038)(366,4037)(367,4036)(368,4035)(369,4034)(370,4033)(371,4032)(372,4031)(373,4030)(374,4029)(375,4028)(376,4027)(377,4026)(378,4025)(379,4024)(380,4023)(381,4022)(382,4021)(383,4020)(384,4019)(385,4018)(386,4017)(387,4016)(388,4015)(389,4014)(390,4013)(391,4012)(392,4011)(393,4010)(394,4009)(395,4008)(396,4007)(397,4006)(398,4005)(399,4004)(400,4003)(401,4002)(402,4001)(403,4000)(404,3999)(405,3998)(406,3997)(407,3996)(408,3995)(409,3994)(410,3993)(411,3992)(412,3991)(413,3990)(414,3989)(415,3988)(416,3987)(417,3986)(418,3985)(419,3984)(420,3983)(421,3982)(422,3981)(423,3980)(424,3979)(425,3978)(426,3977)(427,3976)(428,3975)(429,3974)(430,3973)(431,3972)(432,3971)(433,3970)(434,3969)(435,3968)(436,3967)(437,3966)(438,3965)(439,3964)(440,3963)(441,3962)(442,3961)(443,3960)(444,3959)(445,3958)(446,3957)(447,3956)(448,3955)(449,3954)(450,3953)(451,3952)(452,3951)(453,3950)(454,3949)(455,3948)(456,3947)(457,3946)(458,3945)(459,3944)(460,3943)(461,3942)(462,3941)(463,3940)(464,3939)(465,3938)(466,3937)(467,3936)(468,3935)(469,3934)(470,3933)(471,3932)(472,3931)(473,3930)(474,3929)(475,3928)(476,3927)(477,3926)(478,3925)(479,3924)(480,3923)(481,3922)(482,3921)(483,3920)(484,3919)(485,3918)(486,3917)(487,3916)(488,3915)(489,3914)(490,3913)(491,3912)(492,3911)(493,3910)(494,3909)(495,3908)(496,3907)(497,3906)(498,3905)(499,3904)(500,3903)(501,3902)(502,3901)(503,3900)(504,3899)(505,3898)(506,3897)(507,3896)(508,3895)(509,3894)(510,3893)(511,3892)(512,3891)(513,3890)(514,3889)(515,3888)(516,3887)(517,3886)(518,3885)(519,3884)(520,3883)(521,3882)(522,3881)(523,3880)(524,3879)(525,3878)(526,3877)(527,3876)(528,3875)(529,3874)(530,3873)(531,3872)(532,3871)(533,3870)(534,3869)(535,3868)(536,3867)(537,3866)(538,3865)(539,3864)(540,3863)(541,3862)(542,3861)(543,3860)(544,3859)(545,3858)(546,3857)(547,3856)(548,3855)(549,3854)(550,3853)(551,3852)(552,3851)(553,3850)(554,3849)(555,3848)(556,3847)(557,3846)(558,3845)(559,3844)(560,3843)(561,3842)(562,3841)(563,3840)(564,3839)(565,3838)(566,3837)(567,3836)(568,3835)(569,3834)(570,3833)(571,3832)(572,3831)(573,3830)(574,3829)(575,3828)(576,3827)(577,3826)(578,3825)(579,3824)(580,3823)(581,3822)(582,3821)(583,3820)(584,3819)(585,3818)(586,3817)(587,3816)(588,3815)(589,3814)(590,3813)(591,3812)(592,3811)(593,3810)(594,3809)(595,3808)(596,3807)(597,3806)(598,3805)(599,3804)(600,3803)(601,3802)(602,3801)(603,3800)(604,3799)(605,3798)(606,3797)(607,3796)(608,3795)(609,3794)(610,3793)(611,3792)(612,3791)(613,3790)(614,3789)(615,3788)(616,3787)(617,3786)(618,3785)(619,3784)(620,3783)(621,3782)(622,3781)(623,3780)(624,3779)(625,3778)(626,3777)(627,3776)(628,3775)(629,3774)(630,3773)(631,3772)(632,3771)(633,3770)(634,3769)(635,3768)(636,3767)(637,3766)(638,3765)(639,3764)(640,3763)(641,3762)(642,3761)(643,3760)(644,3759)(645,3758)(646,3757)(647,3756)(648,3755)(649,3754)(650,3753)(651,3752)(652,3751)(653,3750)(654,3749)(655,3748)(656,3747)(657,3746)(658,3745)(659,3744)(660,3743)(661,3742)(662,3741)(663,3740)(664,3739)(665,3738)(666,3737)(667,3736)(668,3735)(669,3734)(670,3733)(671,3732)(672,3731)(673,3730)(674,3729)(675,3728)(676,3727)(677,3726)(678,3725)(679,3724)(680,3723)(681,3722)(682,3721)(683,3720)(684,3719)(685,3718)(686,3717)(687,3716)(688,3715)(689,3714)(690,3713)(691,3712)(692,3711)(693,3710)(694,3709)(695,3708)(696,3707)(697,3706)(698,3705)(699,3704)(700,3703)(701,3702)(702,3701)(703,3700)(704,3699)(705,3698)(706,3697)(707,3696)(708,3695)(709,3694)(710,3693)(711,3692)(712,3691)(713,3690)(714,3689)(715,3688)(716,3687)(717,3686)(718,3685)(719,3684)(720,3683)(721,3682)(722,3681)(723,3680)(724,3679)(725,3678)(726,3677)(727,3676)(728,3675)(729,3674)(730,3673)(731,3672)(732,3671)(733,3670)(734,3669)(735,3668)(736,3667)(737,3666)(738,3665)(739,3664)(740,3663)(741,3662)(742,3661)(743,3660)(744,3659)(745,3658)(746,3657)(747,3656)(748,3655)(749,3654)(750,3653)(751,3652)(752,3651)(753,3650)(754,3649)(755,3648)(756,3647)(757,3646)(758,3645)(759,3644)(760,3643)(761,3642)(762,3641)(763,3640)(764,3639)(765,3638)(766,3637)(767,3636)(768,3635)(769,3634)(770,3633)(771,3632)(772,3631)(773,3630)(774,3629)(775,3628)(776,3627)(777,3626)(778,3625)(779,3624)(780,3623)(781,3622)(782,3621)(783,3620)(784,3619)(785,3618)(786,3617)(787,3616)(788,3615)(789,3614)(790,3613)(791,3612)(792,3611)(793,3610)(794,3609)(795,3608)(796,3607)(797,3606)(798,3605)(799,3604)(800,3603)(801,3602)(802,3601)(803,3600)(804,3599)(805,3598)(806,3597)(807,3596)(808,3595)(809,3594)(810,3593)(811,3592)(812,3591)(813,3590)(814,3589)(815,3588)(816,3587)(817,3586)(818,3585)(819,3584)(820,3583)(821,3582)(822,3581)(823,3580)(824,3579)(825,3578)(826,3577)(827,3576)(828,3575)(829,3574)(830,3573)(831,3572)(832,3571)(833,3570)(834,3569)(835,3568)(836,3567)(837,3566)(838,3565)(839,3564)(840,3563)(841,3562)(842,3561)(843,3560)(844,3559)(845,3558)(846,3557)(847,3556)(848,3555)(849,3554)(850,3553)(851,3552)(852,3551)(853,3550)(854,3549)(855,3548)(856,3547)(857,3546)(858,3545)(859,3544)(860,3543)(861,3542)(862,3541)(863,3540)(864,3539)(865,3538)(866,3537)(867,3536)(868,3535)(869,3534)(870,3533)(871,3532)(872,3531)(873,3530)(874,3529)(875,3528)(876,3527)(877,3526)(878,3525)(879,3524)(880,3523)(881,3522)(882,3521)(883,3520)(884,3519)(885,3518)(886,3517)(887,3516)(888,3515)(889,3514)(890,3513)(891,3512)(892,3511)(893,3510)(894,3509)(895,3508)(896,3507)(897,3506)(898,3505)(899,3504)(900,3503)(901,3502)(902,3501)(903,3500)(904,3499)(905,3498)(906,3497)(907,3496)(908,3495)(909,3494)(910,3493)(911,3492)(912,3491)(913,3490)(914,3489)(915,3488)(916,3487)(917,3486)(918,3485)(919,3484)(920,3483)(921,3482)(922,3481)(923,3480)(924,3479)(925,3478)(926,3477)(927,3476)(928,3475)(929,3474)(930,3473)(931,3472)(932,3471)(933,3470)(934,3469)(935,3468)(936,3467)(937,3466)(938,3465)(939,3464)(940,3463)(941,3462)(942,3461)(943,3460)(944,3459)(945,3458)(946,3457)(947,3456)(948,3455)(949,3454)(950,3453)(951,3452)(952,3451)(953,3450)(954,3449)(955,3448)(956,3447)(957,3446)(958,3445)(959,3444)(960,3443)(961,3442)(962,3441)(963,3440)(964,3439)(965,3438)(966,3437)(967,3436)(968,3435)(969,3434)(970,3433)(971,3432)(972,3431)(973,3430)(974,3429)(975,3428)(976,3427)(977,3426)(978,3425)(979,3424)(980,3423)(981,3422)(982,3421)(983,3420)(984,3419)(985,3418)(986,3417)(987,3416)(988,3415)(989,3414)(990,3413)(991,3412)(992,3411)(993,3410)(994,3409)(995,3408)(996,3407)(997,3406)(998,3405)(999,3404)(1000,3403)(1001,3402)(1002,3401)(1003,3400)(1004,3399)(1005,3398)(1006,3397)(1007,3396)(1008,3395)(1009,3394)(1010,3393)(1011,3392)(1012,3391)(1013,3390)(1014,3389)(1015,3388)(1016,3387)(1017,3386)(1018,3385)(1019,3384)(1020,3383)(1021,3382)(1022,3381)(1023,3380)(1024,3379)(1025,3378)(1026,3377)(1027,3376)(1028,3375)(1029,3374)(1030,3373)(1031,3372)(1032,3371)(1033,3370)(1034,3369)(1035,3368)(1036,3367)(1037,3366)(1038,3365)(1039,3364)(1040,3363)(1041,3362)(1042,3361)(1043,3360)(1044,3359)(1045,3358)(1046,3357)(1047,3356)(1048,3355)(1049,3354)(1050,3353)(1051,3352)(1052,3351)(1053,3350)(1054,3349)(1055,3348)(1056,3347)(1057,3346)(1058,3345)(1059,3344)(1060,3343)(1061,3342)(1062,3341)(1063,3340)(1064,3339)(1065,3338)(1066,3337)(1067,3336)(1068,3335)(1069,3334)(1070,3333)(1071,3332)(1072,3331)(1073,3330)(1074,3329)(1075,3328)(1076,3327)(1077,3326)(1078,3325)(1079,3324)(1080,3323)(1081,3322)(1082,3321)(1083,3320)(1084,3319)(1085,3318)(1086,3317)(1087,3316)(1088,3315)(1089,3314)(1090,3313)(1091,3312)(1092,3311)(1093,3310)(1094,3309)(1095,3308)(1096,3307)(1097,3306)(1098,3305)(1099,3304)(1100,3303)(1101,3302)(1102,3301)(1103,3300)(1104,3299)(1105,3298)(1106,3297)(1107,3296)(1108,3295)(1109,3294)(1110,3293)(1111,3292)(1112,3291)(1113,3290)(1114,3289)(1115,3288)(1116,3287)(1117,3286)(1118,3285)(1119,3284)(1120,3283)(1121,3282)(1122,3281)(1123,3280)(1124,3279)(1125,3278)(1126,3277)(1127,3276)(1128,3275)(1129,3274)(1130,3273)(1131,3272)(1132,3271)(1133,3270)(1134,3269)(1135,3268)(1136,3267)(1137,3266)(1138,3265)(1139,3264)(1140,3263)(1141,3262)(1142,3261)(1143,3260)(1144,3259)(1145,3258)(1146,3257)(1147,3256)(1148,3255)(1149,3254)(1150,3253)(1151,3252)(1152,3251)(1153,3250)(1154,3249)(1155,3248)(1156,3247)(1157,3246)(1158,3245)(1159,3244)(1160,3243)(1161,3242)(1162,3241)(1163,3240)(1164,3239)(1165,3238)(1166,3237)(1167,3236)(1168,3235)(1169,3234)(1170,3233)(1171,3232)(1172,3231)(1173,3230)(1174,3229)(1175,3228)(1176,3227)(1177,3226)(1178,3225)(1179,3224)(1180,3223)(1181,3222)(1182,3221)(1183,3220)(1184,3219)(1185,3218)(1186,3217)(1187,3216)(1188,3215)(1189,3214)(1190,3213)(1191,3212)(1192,3211)(1193,3210)(1194,3209)(1195,3208)(1196,3207)(1197,3206)(1198,3205)(1199,3204)(1200,3203)(1201,3202)(1202,3201)(1203,3200)(1204,3199)(1205,3198)(1206,3197)(1207,3196)(1208,3195)(1209,3194)(1210,3193)(1211,3192)(1212,3191)(1213,3190)(1214,3189)(1215,3188)(1216,3187)(1217,3186)(1218,3185)(1219,3184)(1220,3183)(1221,3182)(1222,3181)(1223,3180)(1224,3179)(1225,3178)(1226,3177)(1227,3176)(1228,3175)(1229,3174)(1230,3173)(1231,3172)(1232,3171)(1233,3170)(1234,3169)(1235,3168)(1236,3167)(1237,3166)(1238,3165)(1239,3164)(1240,3163)(1241,3162)(1242,3161)(1243,3160)(1244,3159)(1245,3158)(1246,3157)(1247,3156)(1248,3155)(1249,3154)(1250,3153)(1251,3152)(1252,3151)(1253,3150)(1254,3149)(1255,3148)(1256,3147)(1257,3146)(1258,3145)(1259,3144)(1260,3143)(1261,3142)(1262,3141)(1263,3140)(1264,3139)(1265,3138)(1266,3137)(1267,3136)(1268,3135)(1269,3134)(1270,3133)(1271,3132)(1272,3131)(1273,3130)(1274,3129)(1275,3128)(1276,3127)(1277,3126)(1278,3125)(1279,3124)(1280,3123)(1281,3122)(1282,3121)(1283,3120)(1284,3119)(1285,3118)(1286,3117)(1287,3116)(1288,3115)(1289,3114)(1290,3113)(1291,3112)(1292,3111)(1293,3110)(1294,3109)(1295,3108)(1296,3107)(1297,3106)(1298,3105)(1299,3104)(1300,3103)(1301,3102)(1302,3101)(1303,3100)(1304,3099)(1305,3098)(1306,3097)(1307,3096)(1308,3095)(1309,3094)(1310,3093)(1311,3092)(1312,3091)(1313,3090)(1314,3089)(1315,3088)(1316,3087)(1317,3086)(1318,3085)(1319,3084)(1320,3083)(1321,3082)(1322,3081)(1323,3080)(1324,3079)(1325,3078)(1326,3077)(1327,3076)(1328,3075)(1329,3074)(1330,3073)(1331,3072)(1332,3071)(1333,3070)(1334,3069)(1335,3068)(1336,3067)(1337,3066)(1338,3065)(1339,3064)(1340,3063)(1341,3062)(1342,3061)(1343,3060)(1344,3059)(1345,3058)(1346,3057)(1347,3056)(1348,3055)(1349,3054)(1350,3053)(1351,3052)(1352,3051)(1353,3050)(1354,3049)(1355,3048)(1356,3047)(1357,3046)(1358,3045)(1359,3044)(1360,3043)(1361,3042)(1362,3041)(1363,3040)(1364,3039)(1365,3038)(1366,3037)(1367,3036)(1368,3035)(1369,3034)(1370,3033)(1371,3032)(1372,3031)(1373,3030)(1374,3029)(1375,3028)(1376,3027)(1377,3026)(1378,3025)(1379,3024)(1380,3023)(1381,3022)(1382,3021)(1383,3020)(1384,3019)(1385,3018)(1386,3017)(1387,3016)(1388,3015)(1389,3014)(1390,3013)(1391,3012)(1392,3011)(1393,3010)(1394,3009)(1395,3008)(1396,3007)(1397,3006)(1398,3005)(1399,3004)(1400,3003)(1401,3002)(1402,3001)(1403,3000)(1404,2999)(1405,2998)(1406,2997)(1407,2996)(1408,2995)(1409,2994)(1410,2993)(1411,2992)(1412,2991)(1413,2990)(1414,2989)(1415,2988)(1416,2987)(1417,2986)(1418,2985)(1419,2984)(1420,2983)(1421,2982)(1422,2981)(1423,2980)(1424,2979)(1425,2978)(1426,2977)(1427,2976)(1428,2975)(1429,2974)(1430,2973)(1431,2972)(1432,2971)(1433,2970)(1434,2969)(1435,2968)(1436,2967)(1437,2966)(1438,2965)(1439,2964)(1440,2963)(1441,2962)(1442,2961)(1443,2960)(1444,2959)(1445,2958)(1446,2957)(1447,2956)(1448,2955)(1449,2954)(1450,2953)(1451,2952)(1452,2951)(1453,2950)(1454,2949)(1455,2948)(1456,2947)(1457,2946)(1458,2945)(1459,2944)(1460,2943)(1461,2942)(1462,2941)(1463,2940)(1464,2939)(1465,2938)(1466,2937)(1467,2936)(1468,2935)(1469,2934)(1470,2933)(1471,2932)(1472,2931)(1473,2930)(1474,2929)(1475,2928)(1476,2927)(1477,2926)(1478,2925)(1479,2924)(1480,2923)(1481,2922)(1482,2921)(1483,2920)(1484,2919)(1485,2918)(1486,2917)(1487,2916)(1488,2915)(1489,2914)(1490,2913)(1491,2912)(1492,2911)(1493,2910)(1494,2909)(1495,2908)(1496,2907)(1497,2906)(1498,2905)(1499,2904)(1500,2903)(1501,2902)(1502,2901)(1503,2900)(1504,2899)(1505,2898)(1506,2897)(1507,2896)(1508,2895)(1509,2894)(1510,2893)(1511,2892)(1512,2891)(1513,2890)(1514,2889)(1515,2888)(1516,2887)(1517,2886)(1518,2885)(1519,2884)(1520,2883)(1521,2882)(1522,2881)(1523,2880)(1524,2879)(1525,2878)(1526,2877)(1527,2876)(1528,2875)(1529,2874)(1530,2873)(1531,2872)(1532,2871)(1533,2870)(1534,2869)(1535,2868)(1536,2867)(1537,2866)(1538,2865)(1539,2864)(1540,2863)(1541,2862)(1542,2861)(1543,2860)(1544,2859)(1545,2858)(1546,2857)(1547,2856)(1548,2855)(1549,2854)(1550,2853)(1551,2852)(1552,2851)(1553,2850)(1554,2849)(1555,2848)(1556,2847)(1557,2846)(1558,2845)(1559,2844)(1560,2843)(1561,2842)(1562,2841)(1563,2840)(1564,2839)(1565,2838)(1566,2837)(1567,2836)(1568,2835)(1569,2834)(1570,2833)(1571,2832)(1572,2831)(1573,2830)(1574,2829)(1575,2828)(1576,2827)(1577,2826)(1578,2825)(1579,2824)(1580,2823)(1581,2822)(1582,2821)(1583,2820)(1584,2819)(1585,2818)(1586,2817)(1587,2816)(1588,2815)(1589,2814)(1590,2813)(1591,2812)(1592,2811)(1593,2810)(1594,2809)(1595,2808)(1596,2807)(1597,2806)(1598,2805)(1599,2804)(1600,2803)(1601,2802)(1602,2801)(1603,2800)(1604,2799)(1605,2798)(1606,2797)(1607,2796)(1608,2795)(1609,2794)(1610,2793)(1611,2792)(1612,2791)(1613,2790)(1614,2789)(1615,2788)(1616,2787)(1617,2786)(1618,2785)(1619,2784)(1620,2783)(1621,2782)(1622,2781)(1623,2780)(1624,2779)(1625,2778)(1626,2777)(1627,2776)(1628,2775)(1629,2774)(1630,2773)(1631,2772)(1632,2771)(1633,2770)(1634,2769)(1635,2768)(1636,2767)(1637,2766)(1638,2765)(1639,2764)(1640,2763)(1641,2762)(1642,2761)(1643,2760)(1644,2759)(1645,2758)(1646,2757)(1647,2756)(1648,2755)(1649,2754)(1650,2753)(1651,2752)(1652,2751)(1653,2750)(1654,2749)(1655,2748)(1656,2747)(1657,2746)(1658,2745)(1659,2744)(1660,2743)(1661,2742)(1662,2741)(1663,2740)(1664,2739)(1665,2738)(1666,2737)(1667,2736)(1668,2735)(1669,2734)(1670,2733)(1671,2732)(1672,2731)(1673,2730)(1674,2729)(1675,2728)(1676,2727)(1677,2726)(1678,2725)(1679,2724)(1680,2723)(1681,2722)(1682,2721)(1683,2720)(1684,2719)(1685,2718)(1686,2717)(1687,2716)(1688,2715)(1689,2714)(1690,2713)(1691,2712)(1692,2711)(1693,2710)(1694,2709)(1695,2708)(1696,2707)(1697,2706)(1698,2705)(1699,2704)(1700,2703)(1701,2702)(1702,2701)(1703,2700)(1704,2699)(1705,2698)(1706,2697)(1707,2696)(1708,2695)(1709,2694)(1710,2693)(1711,2692)(1712,2691)(1713,2690)(1714,2689)(1715,2688)(1716,2687)(1717,2686)(1718,2685)(1719,2684)(1720,2683)(1721,2682)(1722,2681)(1723,2680)(1724,2679)(1725,2678)(1726,2677)(1727,2676)(1728,2675)(1729,2674)(1730,2673)(1731,2672)(1732,2671)(1733,2670)(1734,2669)(1735,2668)(1736,2667)(1737,2666)(1738,2665)(1739,2664)(1740,2663)(1741,2662)(1742,2661)(1743,2660)(1744,2659)(1745,2658)(1746,2657)(1747,2656)(1748,2655)(1749,2654)(1750,2653)(1751,2652)(1752,2651)(1753,2650)(1754,2649)(1755,2648)(1756,2647)(1757,2646)(1758,2645)(1759,2644)(1760,2643)(1761,2642)(1762,2641)(1763,2640)(1764,2639)(1765,2638)(1766,2637)(1767,2636)(1768,2635)(1769,2634)(1770,2633)(1771,2632)(1772,2631)(1773,2630)(1774,2629)(1775,2628)(1776,2627)(1777,2626)(1778,2625)(1779,2624)(1780,2623)(1781,2622)(1782,2621)(1783,2620)(1784,2619)(1785,2618)(1786,2617)(1787,2616)(1788,2615)(1789,2614)(1790,2613)(1791,2612)(1792,2611)(1793,2610)(1794,2609)(1795,2608)(1796,2607)(1797,2606)(1798,2605)(1799,2604)(1800,2603)(1801,2602)(1802,2601)(1803,2600)(1804,2599)(1805,2598)(1806,2597)(1807,2596)(1808,2595)(1809,2594)(1810,2593)(1811,2592)(1812,2591)(1813,2590)(1814,2589)(1815,2588)(1816,2587)(1817,2586)(1818,2585)(1819,2584)(1820,2583)(1821,2582)(1822,2581)(1823,2580)(1824,2579)(1825,2578)(1826,2577)(1827,2576)(1828,2575)(1829,2574)(1830,2573)(1831,2572)(1832,2571)(1833,2570)(1834,2569)(1835,2568)(1836,2567)(1837,2566)(1838,2565)(1839,2564)(1840,2563)(1841,2562)(1842,2561)(1843,2560)(1844,2559)(1845,2558)(1846,2557)(1847,2556)(1848,2555)(1849,2554)(1850,2553)(1851,2552)(1852,2551)(1853,2550)(1854,2549)(1855,2548)(1856,2547)(1857,2546)(1858,2545)(1859,2544)(1860,2543)(1861,2542)(1862,2541)(1863,2540)(1864,2539)(1865,2538)(1866,2537)(1867,2536)(1868,2535)(1869,2534)(1870,2533)(1871,2532)(1872,2531)(1873,2530)(1874,2529)(1875,2528)(1876,2527)(1877,2526)(1878,2525)(1879,2524)(1880,2523)(1881,2522)(1882,2521)(1883,2520)(1884,2519)(1885,2518)(1886,2517)(1887,2516)(1888,2515)(1889,2514)(1890,2513)(1891,2512)(1892,2511)(1893,2510)(1894,2509)(1895,2508)(1896,2507)(1897,2506)(1898,2505)(1899,2504)(1900,2503)(1901,2502)(1902,2501)(1903,2500)(1904,2499)(1905,2498)(1906,2497)(1907,2496)(1908,2495)(1909,2494)(1910,2493)(1911,2492)(1912,2491)(1913,2490)(1914,2489)(1915,2488)(1916,2487)(1917,2486)(1918,2485)(1919,2484)(1920,2483)(1921,2482)(1922,2481)(1923,2480)(1924,2479)(1925,2478)(1926,2477)(1927,2476)(1928,2475)(1929,2474)(1930,2473)(1931,2472)(1932,2471)(1933,2470)(1934,2469)(1935,2468)(1936,2467)(1937,2466)(1938,2465)(1939,2464)(1940,2463)(1941,2462)(1942,2461)(1943,2460)(1944,2459)(1945,2458)(1946,2457)(1947,2456)(1948,2455)(1949,2454)(1950,2453)(1951,2452)(1952,2451)(1953,2450)(1954,2449)(1955,2448)(1956,2447)(1957,2446)(1958,2445)(1959,2444)(1960,2443)(1961,2442)(1962,2441)(1963,2440)(1964,2439)(1965,2438)(1966,2437)(1967,2436)(1968,2435)(1969,2434)(1970,2433)(1971,2432)(1972,2431)(1973,2430)(1974,2429)(1975,2428)(1976,2427)(1977,2426)(1978,2425)(1979,2424)(1980,2423)(1981,2422)(1982,2421)(1983,2420)(1984,2419)(1985,2418)(1986,2417)(1987,2416)(1988,2415)(1989,2414)(1990,2413)(1991,2412)(1992,2411)(1993,2410)(1994,2409)(1995,2408)(1996,2407)(1997,2406)(1998,2405)(1999,2404)(2000,2403)(2001,2402)(2002,2401)(2003,2400)(2004,2399)(2005,2398)(2006,2397)(2007,2396)(2008,2395)(2009,2394)(2010,2393)(2011,2392)(2012,2391)(2013,2390)(2014,2389)(2015,2388)(2016,2387)(2017,2386)(2018,2385)(2019,2384)(2020,2383)(2021,2382)(2022,2381)(2023,2380)(2024,2379)(2025,2378)(2026,2377)(2027,2376)(2028,2375)(2029,2374)(2030,2373)(2031,2372)(2032,2371)(2033,2370)(2034,2369)(2035,2368)(2036,2367)(2037,2366)(2038,2365)(2039,2364)(2040,2363)(2041,2362)(2042,2361)(2043,2360)(2044,2359)(2045,2358)(2046,2357)(2047,2356)(2048,2355)(2049,2354)(2050,2353)(2051,2352)(2052,2351)(2053,2350)(2054,2349)(2055,2348)(2056,2347)(2057,2346)(2058,2345)(2059,2344)(2060,2343)(2061,2342)(2062,2341)(2063,2340)(2064,2339)(2065,2338)(2066,2337)(2067,2336)(2068,2335)(2069,2334)(2070,2333)(2071,2332)(2072,2331)(2073,2330)(2074,2329)(2075,2328)(2076,2327)(2077,2326)(2078,2325)(2079,2324)(2080,2323)(2081,2322)(2082,2321)(2083,2320)(2084,2319)(2085,2318)(2086,2317)(2087,2316)(2088,2315)(2089,2314)(2090,2313)(2091,2312)(2092,2311)(2093,2310)(2094,2309)(2095,2308)(2096,2307)(2097,2306)(2098,2305)(2099,2304)(2100,2303)(2101,2302)(2102,2301)(2103,2300)(2104,2299)(2105,2298)(2106,2297)(2107,2296)(2108,2295)(2109,2294)(2110,2293)(2111,2292)(2112,2291)(2113,2290)(2114,2289)(2115,2288)(2116,2287)(2117,2286)(2118,2285)(2119,2284)(2120,2283)(2121,2282)(2122,2281)(2123,2280)(2124,2279)(2125,2278)(2126,2277)(2127,2276)(2128,2275)(2129,2274)(2130,2273)(2131,2272)(2132,2271)(2133,2270)(2134,2269)(2135,2268)(2136,2267)(2137,2266)(2138,2265)(2139,2264)(2140,2263)(2141,2262)(2142,2261)(2143,2260)(2144,2259)(2145,2258)(2146,2257)(2147,2256)(2148,2255)(2149,2254)(2150,2253)(2151,2252)(2152,2251)(2153,2250)(2154,2249)(2155,2248)(2156,2247)(2157,2246)(2158,2245)(2159,2244)(2160,2243)(2161,2242)(2162,2241)(2163,2240)(2164,2239)(2165,2238)(2166,2237)(2167,2236)(2168,2235)(2169,2234)(2170,2233)(2171,2232)(2172,2231)(2173,2230)(2174,2229)(2175,2228)(2176,2227)(2177,2226)(2178,2225)(2179,2224)(2180,2223)(2181,2222)(2182,2221)(2183,2220)(2184,2219)(2185,2218)(2186,2217)(2187,2216)(2188,2215)(2189,2214)(2190,2213)(2191,2212)(2192,2211)(2193,2210)(2194,2209)(2195,2208)(2196,2207)(2197,2206)(2198,2205)(2199,2204)(2200,2203)(2201,2202)
Conjugacy classes & character table
4400 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17588, 4);
Finite Group Databasebeta