← Prev (#31769747) Next (#31769749) →
Dic4289 #31769748
Aliases
Splittings
Subgroups
6 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 4293 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);(1,3,2,4)(6,4293)(7,4292)(8,4291)(9,4290)(10,4289)(11,4288)(12,4287)(13,4286)(14,4285)(15,4284)(16,4283)(17,4282)(18,4281)(19,4280)(20,4279)(21,4278)(22,4277)(23,4276)(24,4275)(25,4274)(26,4273)(27,4272)(28,4271)(29,4270)(30,4269)(31,4268)(32,4267)(33,4266)(34,4265)(35,4264)(36,4263)(37,4262)(38,4261)(39,4260)(40,4259)(41,4258)(42,4257)(43,4256)(44,4255)(45,4254)(46,4253)(47,4252)(48,4251)(49,4250)(50,4249)(51,4248)(52,4247)(53,4246)(54,4245)(55,4244)(56,4243)(57,4242)(58,4241)(59,4240)(60,4239)(61,4238)(62,4237)(63,4236)(64,4235)(65,4234)(66,4233)(67,4232)(68,4231)(69,4230)(70,4229)(71,4228)(72,4227)(73,4226)(74,4225)(75,4224)(76,4223)(77,4222)(78,4221)(79,4220)(80,4219)(81,4218)(82,4217)(83,4216)(84,4215)(85,4214)(86,4213)(87,4212)(88,4211)(89,4210)(90,4209)(91,4208)(92,4207)(93,4206)(94,4205)(95,4204)(96,4203)(97,4202)(98,4201)(99,4200)(100,4199)(101,4198)(102,4197)(103,4196)(104,4195)(105,4194)(106,4193)(107,4192)(108,4191)(109,4190)(110,4189)(111,4188)(112,4187)(113,4186)(114,4185)(115,4184)(116,4183)(117,4182)(118,4181)(119,4180)(120,4179)(121,4178)(122,4177)(123,4176)(124,4175)(125,4174)(126,4173)(127,4172)(128,4171)(129,4170)(130,4169)(131,4168)(132,4167)(133,4166)(134,4165)(135,4164)(136,4163)(137,4162)(138,4161)(139,4160)(140,4159)(141,4158)(142,4157)(143,4156)(144,4155)(145,4154)(146,4153)(147,4152)(148,4151)(149,4150)(150,4149)(151,4148)(152,4147)(153,4146)(154,4145)(155,4144)(156,4143)(157,4142)(158,4141)(159,4140)(160,4139)(161,4138)(162,4137)(163,4136)(164,4135)(165,4134)(166,4133)(167,4132)(168,4131)(169,4130)(170,4129)(171,4128)(172,4127)(173,4126)(174,4125)(175,4124)(176,4123)(177,4122)(178,4121)(179,4120)(180,4119)(181,4118)(182,4117)(183,4116)(184,4115)(185,4114)(186,4113)(187,4112)(188,4111)(189,4110)(190,4109)(191,4108)(192,4107)(193,4106)(194,4105)(195,4104)(196,4103)(197,4102)(198,4101)(199,4100)(200,4099)(201,4098)(202,4097)(203,4096)(204,4095)(205,4094)(206,4093)(207,4092)(208,4091)(209,4090)(210,4089)(211,4088)(212,4087)(213,4086)(214,4085)(215,4084)(216,4083)(217,4082)(218,4081)(219,4080)(220,4079)(221,4078)(222,4077)(223,4076)(224,4075)(225,4074)(226,4073)(227,4072)(228,4071)(229,4070)(230,4069)(231,4068)(232,4067)(233,4066)(234,4065)(235,4064)(236,4063)(237,4062)(238,4061)(239,4060)(240,4059)(241,4058)(242,4057)(243,4056)(244,4055)(245,4054)(246,4053)(247,4052)(248,4051)(249,4050)(250,4049)(251,4048)(252,4047)(253,4046)(254,4045)(255,4044)(256,4043)(257,4042)(258,4041)(259,4040)(260,4039)(261,4038)(262,4037)(263,4036)(264,4035)(265,4034)(266,4033)(267,4032)(268,4031)(269,4030)(270,4029)(271,4028)(272,4027)(273,4026)(274,4025)(275,4024)(276,4023)(277,4022)(278,4021)(279,4020)(280,4019)(281,4018)(282,4017)(283,4016)(284,4015)(285,4014)(286,4013)(287,4012)(288,4011)(289,4010)(290,4009)(291,4008)(292,4007)(293,4006)(294,4005)(295,4004)(296,4003)(297,4002)(298,4001)(299,4000)(300,3999)(301,3998)(302,3997)(303,3996)(304,3995)(305,3994)(306,3993)(307,3992)(308,3991)(309,3990)(310,3989)(311,3988)(312,3987)(313,3986)(314,3985)(315,3984)(316,3983)(317,3982)(318,3981)(319,3980)(320,3979)(321,3978)(322,3977)(323,3976)(324,3975)(325,3974)(326,3973)(327,3972)(328,3971)(329,3970)(330,3969)(331,3968)(332,3967)(333,3966)(334,3965)(335,3964)(336,3963)(337,3962)(338,3961)(339,3960)(340,3959)(341,3958)(342,3957)(343,3956)(344,3955)(345,3954)(346,3953)(347,3952)(348,3951)(349,3950)(350,3949)(351,3948)(352,3947)(353,3946)(354,3945)(355,3944)(356,3943)(357,3942)(358,3941)(359,3940)(360,3939)(361,3938)(362,3937)(363,3936)(364,3935)(365,3934)(366,3933)(367,3932)(368,3931)(369,3930)(370,3929)(371,3928)(372,3927)(373,3926)(374,3925)(375,3924)(376,3923)(377,3922)(378,3921)(379,3920)(380,3919)(381,3918)(382,3917)(383,3916)(384,3915)(385,3914)(386,3913)(387,3912)(388,3911)(389,3910)(390,3909)(391,3908)(392,3907)(393,3906)(394,3905)(395,3904)(396,3903)(397,3902)(398,3901)(399,3900)(400,3899)(401,3898)(402,3897)(403,3896)(404,3895)(405,3894)(406,3893)(407,3892)(408,3891)(409,3890)(410,3889)(411,3888)(412,3887)(413,3886)(414,3885)(415,3884)(416,3883)(417,3882)(418,3881)(419,3880)(420,3879)(421,3878)(422,3877)(423,3876)(424,3875)(425,3874)(426,3873)(427,3872)(428,3871)(429,3870)(430,3869)(431,3868)(432,3867)(433,3866)(434,3865)(435,3864)(436,3863)(437,3862)(438,3861)(439,3860)(440,3859)(441,3858)(442,3857)(443,3856)(444,3855)(445,3854)(446,3853)(447,3852)(448,3851)(449,3850)(450,3849)(451,3848)(452,3847)(453,3846)(454,3845)(455,3844)(456,3843)(457,3842)(458,3841)(459,3840)(460,3839)(461,3838)(462,3837)(463,3836)(464,3835)(465,3834)(466,3833)(467,3832)(468,3831)(469,3830)(470,3829)(471,3828)(472,3827)(473,3826)(474,3825)(475,3824)(476,3823)(477,3822)(478,3821)(479,3820)(480,3819)(481,3818)(482,3817)(483,3816)(484,3815)(485,3814)(486,3813)(487,3812)(488,3811)(489,3810)(490,3809)(491,3808)(492,3807)(493,3806)(494,3805)(495,3804)(496,3803)(497,3802)(498,3801)(499,3800)(500,3799)(501,3798)(502,3797)(503,3796)(504,3795)(505,3794)(506,3793)(507,3792)(508,3791)(509,3790)(510,3789)(511,3788)(512,3787)(513,3786)(514,3785)(515,3784)(516,3783)(517,3782)(518,3781)(519,3780)(520,3779)(521,3778)(522,3777)(523,3776)(524,3775)(525,3774)(526,3773)(527,3772)(528,3771)(529,3770)(530,3769)(531,3768)(532,3767)(533,3766)(534,3765)(535,3764)(536,3763)(537,3762)(538,3761)(539,3760)(540,3759)(541,3758)(542,3757)(543,3756)(544,3755)(545,3754)(546,3753)(547,3752)(548,3751)(549,3750)(550,3749)(551,3748)(552,3747)(553,3746)(554,3745)(555,3744)(556,3743)(557,3742)(558,3741)(559,3740)(560,3739)(561,3738)(562,3737)(563,3736)(564,3735)(565,3734)(566,3733)(567,3732)(568,3731)(569,3730)(570,3729)(571,3728)(572,3727)(573,3726)(574,3725)(575,3724)(576,3723)(577,3722)(578,3721)(579,3720)(580,3719)(581,3718)(582,3717)(583,3716)(584,3715)(585,3714)(586,3713)(587,3712)(588,3711)(589,3710)(590,3709)(591,3708)(592,3707)(593,3706)(594,3705)(595,3704)(596,3703)(597,3702)(598,3701)(599,3700)(600,3699)(601,3698)(602,3697)(603,3696)(604,3695)(605,3694)(606,3693)(607,3692)(608,3691)(609,3690)(610,3689)(611,3688)(612,3687)(613,3686)(614,3685)(615,3684)(616,3683)(617,3682)(618,3681)(619,3680)(620,3679)(621,3678)(622,3677)(623,3676)(624,3675)(625,3674)(626,3673)(627,3672)(628,3671)(629,3670)(630,3669)(631,3668)(632,3667)(633,3666)(634,3665)(635,3664)(636,3663)(637,3662)(638,3661)(639,3660)(640,3659)(641,3658)(642,3657)(643,3656)(644,3655)(645,3654)(646,3653)(647,3652)(648,3651)(649,3650)(650,3649)(651,3648)(652,3647)(653,3646)(654,3645)(655,3644)(656,3643)(657,3642)(658,3641)(659,3640)(660,3639)(661,3638)(662,3637)(663,3636)(664,3635)(665,3634)(666,3633)(667,3632)(668,3631)(669,3630)(670,3629)(671,3628)(672,3627)(673,3626)(674,3625)(675,3624)(676,3623)(677,3622)(678,3621)(679,3620)(680,3619)(681,3618)(682,3617)(683,3616)(684,3615)(685,3614)(686,3613)(687,3612)(688,3611)(689,3610)(690,3609)(691,3608)(692,3607)(693,3606)(694,3605)(695,3604)(696,3603)(697,3602)(698,3601)(699,3600)(700,3599)(701,3598)(702,3597)(703,3596)(704,3595)(705,3594)(706,3593)(707,3592)(708,3591)(709,3590)(710,3589)(711,3588)(712,3587)(713,3586)(714,3585)(715,3584)(716,3583)(717,3582)(718,3581)(719,3580)(720,3579)(721,3578)(722,3577)(723,3576)(724,3575)(725,3574)(726,3573)(727,3572)(728,3571)(729,3570)(730,3569)(731,3568)(732,3567)(733,3566)(734,3565)(735,3564)(736,3563)(737,3562)(738,3561)(739,3560)(740,3559)(741,3558)(742,3557)(743,3556)(744,3555)(745,3554)(746,3553)(747,3552)(748,3551)(749,3550)(750,3549)(751,3548)(752,3547)(753,3546)(754,3545)(755,3544)(756,3543)(757,3542)(758,3541)(759,3540)(760,3539)(761,3538)(762,3537)(763,3536)(764,3535)(765,3534)(766,3533)(767,3532)(768,3531)(769,3530)(770,3529)(771,3528)(772,3527)(773,3526)(774,3525)(775,3524)(776,3523)(777,3522)(778,3521)(779,3520)(780,3519)(781,3518)(782,3517)(783,3516)(784,3515)(785,3514)(786,3513)(787,3512)(788,3511)(789,3510)(790,3509)(791,3508)(792,3507)(793,3506)(794,3505)(795,3504)(796,3503)(797,3502)(798,3501)(799,3500)(800,3499)(801,3498)(802,3497)(803,3496)(804,3495)(805,3494)(806,3493)(807,3492)(808,3491)(809,3490)(810,3489)(811,3488)(812,3487)(813,3486)(814,3485)(815,3484)(816,3483)(817,3482)(818,3481)(819,3480)(820,3479)(821,3478)(822,3477)(823,3476)(824,3475)(825,3474)(826,3473)(827,3472)(828,3471)(829,3470)(830,3469)(831,3468)(832,3467)(833,3466)(834,3465)(835,3464)(836,3463)(837,3462)(838,3461)(839,3460)(840,3459)(841,3458)(842,3457)(843,3456)(844,3455)(845,3454)(846,3453)(847,3452)(848,3451)(849,3450)(850,3449)(851,3448)(852,3447)(853,3446)(854,3445)(855,3444)(856,3443)(857,3442)(858,3441)(859,3440)(860,3439)(861,3438)(862,3437)(863,3436)(864,3435)(865,3434)(866,3433)(867,3432)(868,3431)(869,3430)(870,3429)(871,3428)(872,3427)(873,3426)(874,3425)(875,3424)(876,3423)(877,3422)(878,3421)(879,3420)(880,3419)(881,3418)(882,3417)(883,3416)(884,3415)(885,3414)(886,3413)(887,3412)(888,3411)(889,3410)(890,3409)(891,3408)(892,3407)(893,3406)(894,3405)(895,3404)(896,3403)(897,3402)(898,3401)(899,3400)(900,3399)(901,3398)(902,3397)(903,3396)(904,3395)(905,3394)(906,3393)(907,3392)(908,3391)(909,3390)(910,3389)(911,3388)(912,3387)(913,3386)(914,3385)(915,3384)(916,3383)(917,3382)(918,3381)(919,3380)(920,3379)(921,3378)(922,3377)(923,3376)(924,3375)(925,3374)(926,3373)(927,3372)(928,3371)(929,3370)(930,3369)(931,3368)(932,3367)(933,3366)(934,3365)(935,3364)(936,3363)(937,3362)(938,3361)(939,3360)(940,3359)(941,3358)(942,3357)(943,3356)(944,3355)(945,3354)(946,3353)(947,3352)(948,3351)(949,3350)(950,3349)(951,3348)(952,3347)(953,3346)(954,3345)(955,3344)(956,3343)(957,3342)(958,3341)(959,3340)(960,3339)(961,3338)(962,3337)(963,3336)(964,3335)(965,3334)(966,3333)(967,3332)(968,3331)(969,3330)(970,3329)(971,3328)(972,3327)(973,3326)(974,3325)(975,3324)(976,3323)(977,3322)(978,3321)(979,3320)(980,3319)(981,3318)(982,3317)(983,3316)(984,3315)(985,3314)(986,3313)(987,3312)(988,3311)(989,3310)(990,3309)(991,3308)(992,3307)(993,3306)(994,3305)(995,3304)(996,3303)(997,3302)(998,3301)(999,3300)(1000,3299)(1001,3298)(1002,3297)(1003,3296)(1004,3295)(1005,3294)(1006,3293)(1007,3292)(1008,3291)(1009,3290)(1010,3289)(1011,3288)(1012,3287)(1013,3286)(1014,3285)(1015,3284)(1016,3283)(1017,3282)(1018,3281)(1019,3280)(1020,3279)(1021,3278)(1022,3277)(1023,3276)(1024,3275)(1025,3274)(1026,3273)(1027,3272)(1028,3271)(1029,3270)(1030,3269)(1031,3268)(1032,3267)(1033,3266)(1034,3265)(1035,3264)(1036,3263)(1037,3262)(1038,3261)(1039,3260)(1040,3259)(1041,3258)(1042,3257)(1043,3256)(1044,3255)(1045,3254)(1046,3253)(1047,3252)(1048,3251)(1049,3250)(1050,3249)(1051,3248)(1052,3247)(1053,3246)(1054,3245)(1055,3244)(1056,3243)(1057,3242)(1058,3241)(1059,3240)(1060,3239)(1061,3238)(1062,3237)(1063,3236)(1064,3235)(1065,3234)(1066,3233)(1067,3232)(1068,3231)(1069,3230)(1070,3229)(1071,3228)(1072,3227)(1073,3226)(1074,3225)(1075,3224)(1076,3223)(1077,3222)(1078,3221)(1079,3220)(1080,3219)(1081,3218)(1082,3217)(1083,3216)(1084,3215)(1085,3214)(1086,3213)(1087,3212)(1088,3211)(1089,3210)(1090,3209)(1091,3208)(1092,3207)(1093,3206)(1094,3205)(1095,3204)(1096,3203)(1097,3202)(1098,3201)(1099,3200)(1100,3199)(1101,3198)(1102,3197)(1103,3196)(1104,3195)(1105,3194)(1106,3193)(1107,3192)(1108,3191)(1109,3190)(1110,3189)(1111,3188)(1112,3187)(1113,3186)(1114,3185)(1115,3184)(1116,3183)(1117,3182)(1118,3181)(1119,3180)(1120,3179)(1121,3178)(1122,3177)(1123,3176)(1124,3175)(1125,3174)(1126,3173)(1127,3172)(1128,3171)(1129,3170)(1130,3169)(1131,3168)(1132,3167)(1133,3166)(1134,3165)(1135,3164)(1136,3163)(1137,3162)(1138,3161)(1139,3160)(1140,3159)(1141,3158)(1142,3157)(1143,3156)(1144,3155)(1145,3154)(1146,3153)(1147,3152)(1148,3151)(1149,3150)(1150,3149)(1151,3148)(1152,3147)(1153,3146)(1154,3145)(1155,3144)(1156,3143)(1157,3142)(1158,3141)(1159,3140)(1160,3139)(1161,3138)(1162,3137)(1163,3136)(1164,3135)(1165,3134)(1166,3133)(1167,3132)(1168,3131)(1169,3130)(1170,3129)(1171,3128)(1172,3127)(1173,3126)(1174,3125)(1175,3124)(1176,3123)(1177,3122)(1178,3121)(1179,3120)(1180,3119)(1181,3118)(1182,3117)(1183,3116)(1184,3115)(1185,3114)(1186,3113)(1187,3112)(1188,3111)(1189,3110)(1190,3109)(1191,3108)(1192,3107)(1193,3106)(1194,3105)(1195,3104)(1196,3103)(1197,3102)(1198,3101)(1199,3100)(1200,3099)(1201,3098)(1202,3097)(1203,3096)(1204,3095)(1205,3094)(1206,3093)(1207,3092)(1208,3091)(1209,3090)(1210,3089)(1211,3088)(1212,3087)(1213,3086)(1214,3085)(1215,3084)(1216,3083)(1217,3082)(1218,3081)(1219,3080)(1220,3079)(1221,3078)(1222,3077)(1223,3076)(1224,3075)(1225,3074)(1226,3073)(1227,3072)(1228,3071)(1229,3070)(1230,3069)(1231,3068)(1232,3067)(1233,3066)(1234,3065)(1235,3064)(1236,3063)(1237,3062)(1238,3061)(1239,3060)(1240,3059)(1241,3058)(1242,3057)(1243,3056)(1244,3055)(1245,3054)(1246,3053)(1247,3052)(1248,3051)(1249,3050)(1250,3049)(1251,3048)(1252,3047)(1253,3046)(1254,3045)(1255,3044)(1256,3043)(1257,3042)(1258,3041)(1259,3040)(1260,3039)(1261,3038)(1262,3037)(1263,3036)(1264,3035)(1265,3034)(1266,3033)(1267,3032)(1268,3031)(1269,3030)(1270,3029)(1271,3028)(1272,3027)(1273,3026)(1274,3025)(1275,3024)(1276,3023)(1277,3022)(1278,3021)(1279,3020)(1280,3019)(1281,3018)(1282,3017)(1283,3016)(1284,3015)(1285,3014)(1286,3013)(1287,3012)(1288,3011)(1289,3010)(1290,3009)(1291,3008)(1292,3007)(1293,3006)(1294,3005)(1295,3004)(1296,3003)(1297,3002)(1298,3001)(1299,3000)(1300,2999)(1301,2998)(1302,2997)(1303,2996)(1304,2995)(1305,2994)(1306,2993)(1307,2992)(1308,2991)(1309,2990)(1310,2989)(1311,2988)(1312,2987)(1313,2986)(1314,2985)(1315,2984)(1316,2983)(1317,2982)(1318,2981)(1319,2980)(1320,2979)(1321,2978)(1322,2977)(1323,2976)(1324,2975)(1325,2974)(1326,2973)(1327,2972)(1328,2971)(1329,2970)(1330,2969)(1331,2968)(1332,2967)(1333,2966)(1334,2965)(1335,2964)(1336,2963)(1337,2962)(1338,2961)(1339,2960)(1340,2959)(1341,2958)(1342,2957)(1343,2956)(1344,2955)(1345,2954)(1346,2953)(1347,2952)(1348,2951)(1349,2950)(1350,2949)(1351,2948)(1352,2947)(1353,2946)(1354,2945)(1355,2944)(1356,2943)(1357,2942)(1358,2941)(1359,2940)(1360,2939)(1361,2938)(1362,2937)(1363,2936)(1364,2935)(1365,2934)(1366,2933)(1367,2932)(1368,2931)(1369,2930)(1370,2929)(1371,2928)(1372,2927)(1373,2926)(1374,2925)(1375,2924)(1376,2923)(1377,2922)(1378,2921)(1379,2920)(1380,2919)(1381,2918)(1382,2917)(1383,2916)(1384,2915)(1385,2914)(1386,2913)(1387,2912)(1388,2911)(1389,2910)(1390,2909)(1391,2908)(1392,2907)(1393,2906)(1394,2905)(1395,2904)(1396,2903)(1397,2902)(1398,2901)(1399,2900)(1400,2899)(1401,2898)(1402,2897)(1403,2896)(1404,2895)(1405,2894)(1406,2893)(1407,2892)(1408,2891)(1409,2890)(1410,2889)(1411,2888)(1412,2887)(1413,2886)(1414,2885)(1415,2884)(1416,2883)(1417,2882)(1418,2881)(1419,2880)(1420,2879)(1421,2878)(1422,2877)(1423,2876)(1424,2875)(1425,2874)(1426,2873)(1427,2872)(1428,2871)(1429,2870)(1430,2869)(1431,2868)(1432,2867)(1433,2866)(1434,2865)(1435,2864)(1436,2863)(1437,2862)(1438,2861)(1439,2860)(1440,2859)(1441,2858)(1442,2857)(1443,2856)(1444,2855)(1445,2854)(1446,2853)(1447,2852)(1448,2851)(1449,2850)(1450,2849)(1451,2848)(1452,2847)(1453,2846)(1454,2845)(1455,2844)(1456,2843)(1457,2842)(1458,2841)(1459,2840)(1460,2839)(1461,2838)(1462,2837)(1463,2836)(1464,2835)(1465,2834)(1466,2833)(1467,2832)(1468,2831)(1469,2830)(1470,2829)(1471,2828)(1472,2827)(1473,2826)(1474,2825)(1475,2824)(1476,2823)(1477,2822)(1478,2821)(1479,2820)(1480,2819)(1481,2818)(1482,2817)(1483,2816)(1484,2815)(1485,2814)(1486,2813)(1487,2812)(1488,2811)(1489,2810)(1490,2809)(1491,2808)(1492,2807)(1493,2806)(1494,2805)(1495,2804)(1496,2803)(1497,2802)(1498,2801)(1499,2800)(1500,2799)(1501,2798)(1502,2797)(1503,2796)(1504,2795)(1505,2794)(1506,2793)(1507,2792)(1508,2791)(1509,2790)(1510,2789)(1511,2788)(1512,2787)(1513,2786)(1514,2785)(1515,2784)(1516,2783)(1517,2782)(1518,2781)(1519,2780)(1520,2779)(1521,2778)(1522,2777)(1523,2776)(1524,2775)(1525,2774)(1526,2773)(1527,2772)(1528,2771)(1529,2770)(1530,2769)(1531,2768)(1532,2767)(1533,2766)(1534,2765)(1535,2764)(1536,2763)(1537,2762)(1538,2761)(1539,2760)(1540,2759)(1541,2758)(1542,2757)(1543,2756)(1544,2755)(1545,2754)(1546,2753)(1547,2752)(1548,2751)(1549,2750)(1550,2749)(1551,2748)(1552,2747)(1553,2746)(1554,2745)(1555,2744)(1556,2743)(1557,2742)(1558,2741)(1559,2740)(1560,2739)(1561,2738)(1562,2737)(1563,2736)(1564,2735)(1565,2734)(1566,2733)(1567,2732)(1568,2731)(1569,2730)(1570,2729)(1571,2728)(1572,2727)(1573,2726)(1574,2725)(1575,2724)(1576,2723)(1577,2722)(1578,2721)(1579,2720)(1580,2719)(1581,2718)(1582,2717)(1583,2716)(1584,2715)(1585,2714)(1586,2713)(1587,2712)(1588,2711)(1589,2710)(1590,2709)(1591,2708)(1592,2707)(1593,2706)(1594,2705)(1595,2704)(1596,2703)(1597,2702)(1598,2701)(1599,2700)(1600,2699)(1601,2698)(1602,2697)(1603,2696)(1604,2695)(1605,2694)(1606,2693)(1607,2692)(1608,2691)(1609,2690)(1610,2689)(1611,2688)(1612,2687)(1613,2686)(1614,2685)(1615,2684)(1616,2683)(1617,2682)(1618,2681)(1619,2680)(1620,2679)(1621,2678)(1622,2677)(1623,2676)(1624,2675)(1625,2674)(1626,2673)(1627,2672)(1628,2671)(1629,2670)(1630,2669)(1631,2668)(1632,2667)(1633,2666)(1634,2665)(1635,2664)(1636,2663)(1637,2662)(1638,2661)(1639,2660)(1640,2659)(1641,2658)(1642,2657)(1643,2656)(1644,2655)(1645,2654)(1646,2653)(1647,2652)(1648,2651)(1649,2650)(1650,2649)(1651,2648)(1652,2647)(1653,2646)(1654,2645)(1655,2644)(1656,2643)(1657,2642)(1658,2641)(1659,2640)(1660,2639)(1661,2638)(1662,2637)(1663,2636)(1664,2635)(1665,2634)(1666,2633)(1667,2632)(1668,2631)(1669,2630)(1670,2629)(1671,2628)(1672,2627)(1673,2626)(1674,2625)(1675,2624)(1676,2623)(1677,2622)(1678,2621)(1679,2620)(1680,2619)(1681,2618)(1682,2617)(1683,2616)(1684,2615)(1685,2614)(1686,2613)(1687,2612)(1688,2611)(1689,2610)(1690,2609)(1691,2608)(1692,2607)(1693,2606)(1694,2605)(1695,2604)(1696,2603)(1697,2602)(1698,2601)(1699,2600)(1700,2599)(1701,2598)(1702,2597)(1703,2596)(1704,2595)(1705,2594)(1706,2593)(1707,2592)(1708,2591)(1709,2590)(1710,2589)(1711,2588)(1712,2587)(1713,2586)(1714,2585)(1715,2584)(1716,2583)(1717,2582)(1718,2581)(1719,2580)(1720,2579)(1721,2578)(1722,2577)(1723,2576)(1724,2575)(1725,2574)(1726,2573)(1727,2572)(1728,2571)(1729,2570)(1730,2569)(1731,2568)(1732,2567)(1733,2566)(1734,2565)(1735,2564)(1736,2563)(1737,2562)(1738,2561)(1739,2560)(1740,2559)(1741,2558)(1742,2557)(1743,2556)(1744,2555)(1745,2554)(1746,2553)(1747,2552)(1748,2551)(1749,2550)(1750,2549)(1751,2548)(1752,2547)(1753,2546)(1754,2545)(1755,2544)(1756,2543)(1757,2542)(1758,2541)(1759,2540)(1760,2539)(1761,2538)(1762,2537)(1763,2536)(1764,2535)(1765,2534)(1766,2533)(1767,2532)(1768,2531)(1769,2530)(1770,2529)(1771,2528)(1772,2527)(1773,2526)(1774,2525)(1775,2524)(1776,2523)(1777,2522)(1778,2521)(1779,2520)(1780,2519)(1781,2518)(1782,2517)(1783,2516)(1784,2515)(1785,2514)(1786,2513)(1787,2512)(1788,2511)(1789,2510)(1790,2509)(1791,2508)(1792,2507)(1793,2506)(1794,2505)(1795,2504)(1796,2503)(1797,2502)(1798,2501)(1799,2500)(1800,2499)(1801,2498)(1802,2497)(1803,2496)(1804,2495)(1805,2494)(1806,2493)(1807,2492)(1808,2491)(1809,2490)(1810,2489)(1811,2488)(1812,2487)(1813,2486)(1814,2485)(1815,2484)(1816,2483)(1817,2482)(1818,2481)(1819,2480)(1820,2479)(1821,2478)(1822,2477)(1823,2476)(1824,2475)(1825,2474)(1826,2473)(1827,2472)(1828,2471)(1829,2470)(1830,2469)(1831,2468)(1832,2467)(1833,2466)(1834,2465)(1835,2464)(1836,2463)(1837,2462)(1838,2461)(1839,2460)(1840,2459)(1841,2458)(1842,2457)(1843,2456)(1844,2455)(1845,2454)(1846,2453)(1847,2452)(1848,2451)(1849,2450)(1850,2449)(1851,2448)(1852,2447)(1853,2446)(1854,2445)(1855,2444)(1856,2443)(1857,2442)(1858,2441)(1859,2440)(1860,2439)(1861,2438)(1862,2437)(1863,2436)(1864,2435)(1865,2434)(1866,2433)(1867,2432)(1868,2431)(1869,2430)(1870,2429)(1871,2428)(1872,2427)(1873,2426)(1874,2425)(1875,2424)(1876,2423)(1877,2422)(1878,2421)(1879,2420)(1880,2419)(1881,2418)(1882,2417)(1883,2416)(1884,2415)(1885,2414)(1886,2413)(1887,2412)(1888,2411)(1889,2410)(1890,2409)(1891,2408)(1892,2407)(1893,2406)(1894,2405)(1895,2404)(1896,2403)(1897,2402)(1898,2401)(1899,2400)(1900,2399)(1901,2398)(1902,2397)(1903,2396)(1904,2395)(1905,2394)(1906,2393)(1907,2392)(1908,2391)(1909,2390)(1910,2389)(1911,2388)(1912,2387)(1913,2386)(1914,2385)(1915,2384)(1916,2383)(1917,2382)(1918,2381)(1919,2380)(1920,2379)(1921,2378)(1922,2377)(1923,2376)(1924,2375)(1925,2374)(1926,2373)(1927,2372)(1928,2371)(1929,2370)(1930,2369)(1931,2368)(1932,2367)(1933,2366)(1934,2365)(1935,2364)(1936,2363)(1937,2362)(1938,2361)(1939,2360)(1940,2359)(1941,2358)(1942,2357)(1943,2356)(1944,2355)(1945,2354)(1946,2353)(1947,2352)(1948,2351)(1949,2350)(1950,2349)(1951,2348)(1952,2347)(1953,2346)(1954,2345)(1955,2344)(1956,2343)(1957,2342)(1958,2341)(1959,2340)(1960,2339)(1961,2338)(1962,2337)(1963,2336)(1964,2335)(1965,2334)(1966,2333)(1967,2332)(1968,2331)(1969,2330)(1970,2329)(1971,2328)(1972,2327)(1973,2326)(1974,2325)(1975,2324)(1976,2323)(1977,2322)(1978,2321)(1979,2320)(1980,2319)(1981,2318)(1982,2317)(1983,2316)(1984,2315)(1985,2314)(1986,2313)(1987,2312)(1988,2311)(1989,2310)(1990,2309)(1991,2308)(1992,2307)(1993,2306)(1994,2305)(1995,2304)(1996,2303)(1997,2302)(1998,2301)(1999,2300)(2000,2299)(2001,2298)(2002,2297)(2003,2296)(2004,2295)(2005,2294)(2006,2293)(2007,2292)(2008,2291)(2009,2290)(2010,2289)(2011,2288)(2012,2287)(2013,2286)(2014,2285)(2015,2284)(2016,2283)(2017,2282)(2018,2281)(2019,2280)(2020,2279)(2021,2278)(2022,2277)(2023,2276)(2024,2275)(2025,2274)(2026,2273)(2027,2272)(2028,2271)(2029,2270)(2030,2269)(2031,2268)(2032,2267)(2033,2266)(2034,2265)(2035,2264)(2036,2263)(2037,2262)(2038,2261)(2039,2260)(2040,2259)(2041,2258)(2042,2257)(2043,2256)(2044,2255)(2045,2254)(2046,2253)(2047,2252)(2048,2251)(2049,2250)(2050,2249)(2051,2248)(2052,2247)(2053,2246)(2054,2245)(2055,2244)(2056,2243)(2057,2242)(2058,2241)(2059,2240)(2060,2239)(2061,2238)(2062,2237)(2063,2236)(2064,2235)(2065,2234)(2066,2233)(2067,2232)(2068,2231)(2069,2230)(2070,2229)(2071,2228)(2072,2227)(2073,2226)(2074,2225)(2075,2224)(2076,2223)(2077,2222)(2078,2221)(2079,2220)(2080,2219)(2081,2218)(2082,2217)(2083,2216)(2084,2215)(2085,2214)(2086,2213)(2087,2212)(2088,2211)(2089,2210)(2090,2209)(2091,2208)(2092,2207)(2093,2206)(2094,2205)(2095,2204)(2096,2203)(2097,2202)(2098,2201)(2099,2200)(2100,2199)(2101,2198)(2102,2197)(2103,2196)(2104,2195)(2105,2194)(2106,2193)(2107,2192)(2108,2191)(2109,2190)(2110,2189)(2111,2188)(2112,2187)(2113,2186)(2114,2185)(2115,2184)(2116,2183)(2117,2182)(2118,2181)(2119,2180)(2120,2179)(2121,2178)(2122,2177)(2123,2176)(2124,2175)(2125,2174)(2126,2173)(2127,2172)(2128,2171)(2129,2170)(2130,2169)(2131,2168)(2132,2167)(2133,2166)(2134,2165)(2135,2164)(2136,2163)(2137,2162)(2138,2161)(2139,2160)(2140,2159)(2141,2158)(2142,2157)(2143,2156)(2144,2155)(2145,2154)(2146,2153)(2147,2152)(2148,2151)(2149,2150)
Polycyclic presentation:
2^2,4289|a^2=b,c^a=c^4288
Conjugacy classes & character table
4292 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17156, 1);
Finite Group Databasebeta