Finite Group Databasebeta

?

← Prev (#44445824) Next (#44445826) →

Dic₇₄₁₈ #44445825

• metacyclic
• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

Splittings

Subgroups

12 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 3717 points:

(1,2,3,4)(5,8,7,6)(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);(1,5,3,7)(2,6,4,8)(10,3717)(11,3716)(12,3715)(13,3714)(14,3713)(15,3712)(16,3711)(17,3710)(18,3709)(19,3708)(20,3707)(21,3706)(22,3705)(23,3704)(24,3703)(25,3702)(26,3701)(27,3700)(28,3699)(29,3698)(30,3697)(31,3696)(32,3695)(33,3694)(34,3693)(35,3692)(36,3691)(37,3690)(38,3689)(39,3688)(40,3687)(41,3686)(42,3685)(43,3684)(44,3683)(45,3682)(46,3681)(47,3680)(48,3679)(49,3678)(50,3677)(51,3676)(52,3675)(53,3674)(54,3673)(55,3672)(56,3671)(57,3670)(58,3669)(59,3668)(60,3667)(61,3666)(62,3665)(63,3664)(64,3663)(65,3662)(66,3661)(67,3660)(68,3659)(69,3658)(70,3657)(71,3656)(72,3655)(73,3654)(74,3653)(75,3652)(76,3651)(77,3650)(78,3649)(79,3648)(80,3647)(81,3646)(82,3645)(83,3644)(84,3643)(85,3642)(86,3641)(87,3640)(88,3639)(89,3638)(90,3637)(91,3636)(92,3635)(93,3634)(94,3633)(95,3632)(96,3631)(97,3630)(98,3629)(99,3628)(100,3627)(101,3626)(102,3625)(103,3624)(104,3623)(105,3622)(106,3621)(107,3620)(108,3619)(109,3618)(110,3617)(111,3616)(112,3615)(113,3614)(114,3613)(115,3612)(116,3611)(117,3610)(118,3609)(119,3608)(120,3607)(121,3606)(122,3605)(123,3604)(124,3603)(125,3602)(126,3601)(127,3600)(128,3599)(129,3598)(130,3597)(131,3596)(132,3595)(133,3594)(134,3593)(135,3592)(136,3591)(137,3590)(138,3589)(139,3588)(140,3587)(141,3586)(142,3585)(143,3584)(144,3583)(145,3582)(146,3581)(147,3580)(148,3579)(149,3578)(150,3577)(151,3576)(152,3575)(153,3574)(154,3573)(155,3572)(156,3571)(157,3570)(158,3569)(159,3568)(160,3567)(161,3566)(162,3565)(163,3564)(164,3563)(165,3562)(166,3561)(167,3560)(168,3559)(169,3558)(170,3557)(171,3556)(172,3555)(173,3554)(174,3553)(175,3552)(176,3551)(177,3550)(178,3549)(179,3548)(180,3547)(181,3546)(182,3545)(183,3544)(184,3543)(185,3542)(186,3541)(187,3540)(188,3539)(189,3538)(190,3537)(191,3536)(192,3535)(193,3534)(194,3533)(195,3532)(196,3531)(197,3530)(198,3529)(199,3528)(200,3527)(201,3526)(202,3525)(203,3524)(204,3523)(205,3522)(206,3521)(207,3520)(208,3519)(209,3518)(210,3517)(211,3516)(212,3515)(213,3514)(214,3513)(215,3512)(216,3511)(217,3510)(218,3509)(219,3508)(220,3507)(221,3506)(222,3505)(223,3504)(224,3503)(225,3502)(226,3501)(227,3500)(228,3499)(229,3498)(230,3497)(231,3496)(232,3495)(233,3494)(234,3493)(235,3492)(236,3491)(237,3490)(238,3489)(239,3488)(240,3487)(241,3486)(242,3485)(243,3484)(244,3483)(245,3482)(246,3481)(247,3480)(248,3479)(249,3478)(250,3477)(251,3476)(252,3475)(253,3474)(254,3473)(255,3472)(256,3471)(257,3470)(258,3469)(259,3468)(260,3467)(261,3466)(262,3465)(263,3464)(264,3463)(265,3462)(266,3461)(267,3460)(268,3459)(269,3458)(270,3457)(271,3456)(272,3455)(273,3454)(274,3453)(275,3452)(276,3451)(277,3450)(278,3449)(279,3448)(280,3447)(281,3446)(282,3445)(283,3444)(284,3443)(285,3442)(286,3441)(287,3440)(288,3439)(289,3438)(290,3437)(291,3436)(292,3435)(293,3434)(294,3433)(295,3432)(296,3431)(297,3430)(298,3429)(299,3428)(300,3427)(301,3426)(302,3425)(303,3424)(304,3423)(305,3422)(306,3421)(307,3420)(308,3419)(309,3418)(310,3417)(311,3416)(312,3415)(313,3414)(314,3413)(315,3412)(316,3411)(317,3410)(318,3409)(319,3408)(320,3407)(321,3406)(322,3405)(323,3404)(324,3403)(325,3402)(326,3401)(327,3400)(328,3399)(329,3398)(330,3397)(331,3396)(332,3395)(333,3394)(334,3393)(335,3392)(336,3391)(337,3390)(338,3389)(339,3388)(340,3387)(341,3386)(342,3385)(343,3384)(344,3383)(345,3382)(346,3381)(347,3380)(348,3379)(349,3378)(350,3377)(351,3376)(352,3375)(353,3374)(354,3373)(355,3372)(356,3371)(357,3370)(358,3369)(359,3368)(360,3367)(361,3366)(362,3365)(363,3364)(364,3363)(365,3362)(366,3361)(367,3360)(368,3359)(369,3358)(370,3357)(371,3356)(372,3355)(373,3354)(374,3353)(375,3352)(376,3351)(377,3350)(378,3349)(379,3348)(380,3347)(381,3346)(382,3345)(383,3344)(384,3343)(385,3342)(386,3341)(387,3340)(388,3339)(389,3338)(390,3337)(391,3336)(392,3335)(393,3334)(394,3333)(395,3332)(396,3331)(397,3330)(398,3329)(399,3328)(400,3327)(401,3326)(402,3325)(403,3324)(404,3323)(405,3322)(406,3321)(407,3320)(408,3319)(409,3318)(410,3317)(411,3316)(412,3315)(413,3314)(414,3313)(415,3312)(416,3311)(417,3310)(418,3309)(419,3308)(420,3307)(421,3306)(422,3305)(423,3304)(424,3303)(425,3302)(426,3301)(427,3300)(428,3299)(429,3298)(430,3297)(431,3296)(432,3295)(433,3294)(434,3293)(435,3292)(436,3291)(437,3290)(438,3289)(439,3288)(440,3287)(441,3286)(442,3285)(443,3284)(444,3283)(445,3282)(446,3281)(447,3280)(448,3279)(449,3278)(450,3277)(451,3276)(452,3275)(453,3274)(454,3273)(455,3272)(456,3271)(457,3270)(458,3269)(459,3268)(460,3267)(461,3266)(462,3265)(463,3264)(464,3263)(465,3262)(466,3261)(467,3260)(468,3259)(469,3258)(470,3257)(471,3256)(472,3255)(473,3254)(474,3253)(475,3252)(476,3251)(477,3250)(478,3249)(479,3248)(480,3247)(481,3246)(482,3245)(483,3244)(484,3243)(485,3242)(486,3241)(487,3240)(488,3239)(489,3238)(490,3237)(491,3236)(492,3235)(493,3234)(494,3233)(495,3232)(496,3231)(497,3230)(498,3229)(499,3228)(500,3227)(501,3226)(502,3225)(503,3224)(504,3223)(505,3222)(506,3221)(507,3220)(508,3219)(509,3218)(510,3217)(511,3216)(512,3215)(513,3214)(514,3213)(515,3212)(516,3211)(517,3210)(518,3209)(519,3208)(520,3207)(521,3206)(522,3205)(523,3204)(524,3203)(525,3202)(526,3201)(527,3200)(528,3199)(529,3198)(530,3197)(531,3196)(532,3195)(533,3194)(534,3193)(535,3192)(536,3191)(537,3190)(538,3189)(539,3188)(540,3187)(541,3186)(542,3185)(543,3184)(544,3183)(545,3182)(546,3181)(547,3180)(548,3179)(549,3178)(550,3177)(551,3176)(552,3175)(553,3174)(554,3173)(555,3172)(556,3171)(557,3170)(558,3169)(559,3168)(560,3167)(561,3166)(562,3165)(563,3164)(564,3163)(565,3162)(566,3161)(567,3160)(568,3159)(569,3158)(570,3157)(571,3156)(572,3155)(573,3154)(574,3153)(575,3152)(576,3151)(577,3150)(578,3149)(579,3148)(580,3147)(581,3146)(582,3145)(583,3144)(584,3143)(585,3142)(586,3141)(587,3140)(588,3139)(589,3138)(590,3137)(591,3136)(592,3135)(593,3134)(594,3133)(595,3132)(596,3131)(597,3130)(598,3129)(599,3128)(600,3127)(601,3126)(602,3125)(603,3124)(604,3123)(605,3122)(606,3121)(607,3120)(608,3119)(609,3118)(610,3117)(611,3116)(612,3115)(613,3114)(614,3113)(615,3112)(616,3111)(617,3110)(618,3109)(619,3108)(620,3107)(621,3106)(622,3105)(623,3104)(624,3103)(625,3102)(626,3101)(627,3100)(628,3099)(629,3098)(630,3097)(631,3096)(632,3095)(633,3094)(634,3093)(635,3092)(636,3091)(637,3090)(638,3089)(639,3088)(640,3087)(641,3086)(642,3085)(643,3084)(644,3083)(645,3082)(646,3081)(647,3080)(648,3079)(649,3078)(650,3077)(651,3076)(652,3075)(653,3074)(654,3073)(655,3072)(656,3071)(657,3070)(658,3069)(659,3068)(660,3067)(661,3066)(662,3065)(663,3064)(664,3063)(665,3062)(666,3061)(667,3060)(668,3059)(669,3058)(670,3057)(671,3056)(672,3055)(673,3054)(674,3053)(675,3052)(676,3051)(677,3050)(678,3049)(679,3048)(680,3047)(681,3046)(682,3045)(683,3044)(684,3043)(685,3042)(686,3041)(687,3040)(688,3039)(689,3038)(690,3037)(691,3036)(692,3035)(693,3034)(694,3033)(695,3032)(696,3031)(697,3030)(698,3029)(699,3028)(700,3027)(701,3026)(702,3025)(703,3024)(704,3023)(705,3022)(706,3021)(707,3020)(708,3019)(709,3018)(710,3017)(711,3016)(712,3015)(713,3014)(714,3013)(715,3012)(716,3011)(717,3010)(718,3009)(719,3008)(720,3007)(721,3006)(722,3005)(723,3004)(724,3003)(725,3002)(726,3001)(727,3000)(728,2999)(729,2998)(730,2997)(731,2996)(732,2995)(733,2994)(734,2993)(735,2992)(736,2991)(737,2990)(738,2989)(739,2988)(740,2987)(741,2986)(742,2985)(743,2984)(744,2983)(745,2982)(746,2981)(747,2980)(748,2979)(749,2978)(750,2977)(751,2976)(752,2975)(753,2974)(754,2973)(755,2972)(756,2971)(757,2970)(758,2969)(759,2968)(760,2967)(761,2966)(762,2965)(763,2964)(764,2963)(765,2962)(766,2961)(767,2960)(768,2959)(769,2958)(770,2957)(771,2956)(772,2955)(773,2954)(774,2953)(775,2952)(776,2951)(777,2950)(778,2949)(779,2948)(780,2947)(781,2946)(782,2945)(783,2944)(784,2943)(785,2942)(786,2941)(787,2940)(788,2939)(789,2938)(790,2937)(791,2936)(792,2935)(793,2934)(794,2933)(795,2932)(796,2931)(797,2930)(798,2929)(799,2928)(800,2927)(801,2926)(802,2925)(803,2924)(804,2923)(805,2922)(806,2921)(807,2920)(808,2919)(809,2918)(810,2917)(811,2916)(812,2915)(813,2914)(814,2913)(815,2912)(816,2911)(817,2910)(818,2909)(819,2908)(820,2907)(821,2906)(822,2905)(823,2904)(824,2903)(825,2902)(826,2901)(827,2900)(828,2899)(829,2898)(830,2897)(831,2896)(832,2895)(833,2894)(834,2893)(835,2892)(836,2891)(837,2890)(838,2889)(839,2888)(840,2887)(841,2886)(842,2885)(843,2884)(844,2883)(845,2882)(846,2881)(847,2880)(848,2879)(849,2878)(850,2877)(851,2876)(852,2875)(853,2874)(854,2873)(855,2872)(856,2871)(857,2870)(858,2869)(859,2868)(860,2867)(861,2866)(862,2865)(863,2864)(864,2863)(865,2862)(866,2861)(867,2860)(868,2859)(869,2858)(870,2857)(871,2856)(872,2855)(873,2854)(874,2853)(875,2852)(876,2851)(877,2850)(878,2849)(879,2848)(880,2847)(881,2846)(882,2845)(883,2844)(884,2843)(885,2842)(886,2841)(887,2840)(888,2839)(889,2838)(890,2837)(891,2836)(892,2835)(893,2834)(894,2833)(895,2832)(896,2831)(897,2830)(898,2829)(899,2828)(900,2827)(901,2826)(902,2825)(903,2824)(904,2823)(905,2822)(906,2821)(907,2820)(908,2819)(909,2818)(910,2817)(911,2816)(912,2815)(913,2814)(914,2813)(915,2812)(916,2811)(917,2810)(918,2809)(919,2808)(920,2807)(921,2806)(922,2805)(923,2804)(924,2803)(925,2802)(926,2801)(927,2800)(928,2799)(929,2798)(930,2797)(931,2796)(932,2795)(933,2794)(934,2793)(935,2792)(936,2791)(937,2790)(938,2789)(939,2788)(940,2787)(941,2786)(942,2785)(943,2784)(944,2783)(945,2782)(946,2781)(947,2780)(948,2779)(949,2778)(950,2777)(951,2776)(952,2775)(953,2774)(954,2773)(955,2772)(956,2771)(957,2770)(958,2769)(959,2768)(960,2767)(961,2766)(962,2765)(963,2764)(964,2763)(965,2762)(966,2761)(967,2760)(968,2759)(969,2758)(970,2757)(971,2756)(972,2755)(973,2754)(974,2753)(975,2752)(976,2751)(977,2750)(978,2749)(979,2748)(980,2747)(981,2746)(982,2745)(983,2744)(984,2743)(985,2742)(986,2741)(987,2740)(988,2739)(989,2738)(990,2737)(991,2736)(992,2735)(993,2734)(994,2733)(995,2732)(996,2731)(997,2730)(998,2729)(999,2728)(1000,2727)(1001,2726)(1002,2725)(1003,2724)(1004,2723)(1005,2722)(1006,2721)(1007,2720)(1008,2719)(1009,2718)(1010,2717)(1011,2716)(1012,2715)(1013,2714)(1014,2713)(1015,2712)(1016,2711)(1017,2710)(1018,2709)(1019,2708)(1020,2707)(1021,2706)(1022,2705)(1023,2704)(1024,2703)(1025,2702)(1026,2701)(1027,2700)(1028,2699)(1029,2698)(1030,2697)(1031,2696)(1032,2695)(1033,2694)(1034,2693)(1035,2692)(1036,2691)(1037,2690)(1038,2689)(1039,2688)(1040,2687)(1041,2686)(1042,2685)(1043,2684)(1044,2683)(1045,2682)(1046,2681)(1047,2680)(1048,2679)(1049,2678)(1050,2677)(1051,2676)(1052,2675)(1053,2674)(1054,2673)(1055,2672)(1056,2671)(1057,2670)(1058,2669)(1059,2668)(1060,2667)(1061,2666)(1062,2665)(1063,2664)(1064,2663)(1065,2662)(1066,2661)(1067,2660)(1068,2659)(1069,2658)(1070,2657)(1071,2656)(1072,2655)(1073,2654)(1074,2653)(1075,2652)(1076,2651)(1077,2650)(1078,2649)(1079,2648)(1080,2647)(1081,2646)(1082,2645)(1083,2644)(1084,2643)(1085,2642)(1086,2641)(1087,2640)(1088,2639)(1089,2638)(1090,2637)(1091,2636)(1092,2635)(1093,2634)(1094,2633)(1095,2632)(1096,2631)(1097,2630)(1098,2629)(1099,2628)(1100,2627)(1101,2626)(1102,2625)(1103,2624)(1104,2623)(1105,2622)(1106,2621)(1107,2620)(1108,2619)(1109,2618)(1110,2617)(1111,2616)(1112,2615)(1113,2614)(1114,2613)(1115,2612)(1116,2611)(1117,2610)(1118,2609)(1119,2608)(1120,2607)(1121,2606)(1122,2605)(1123,2604)(1124,2603)(1125,2602)(1126,2601)(1127,2600)(1128,2599)(1129,2598)(1130,2597)(1131,2596)(1132,2595)(1133,2594)(1134,2593)(1135,2592)(1136,2591)(1137,2590)(1138,2589)(1139,2588)(1140,2587)(1141,2586)(1142,2585)(1143,2584)(1144,2583)(1145,2582)(1146,2581)(1147,2580)(1148,2579)(1149,2578)(1150,2577)(1151,2576)(1152,2575)(1153,2574)(1154,2573)(1155,2572)(1156,2571)(1157,2570)(1158,2569)(1159,2568)(1160,2567)(1161,2566)(1162,2565)(1163,2564)(1164,2563)(1165,2562)(1166,2561)(1167,2560)(1168,2559)(1169,2558)(1170,2557)(1171,2556)(1172,2555)(1173,2554)(1174,2553)(1175,2552)(1176,2551)(1177,2550)(1178,2549)(1179,2548)(1180,2547)(1181,2546)(1182,2545)(1183,2544)(1184,2543)(1185,2542)(1186,2541)(1187,2540)(1188,2539)(1189,2538)(1190,2537)(1191,2536)(1192,2535)(1193,2534)(1194,2533)(1195,2532)(1196,2531)(1197,2530)(1198,2529)(1199,2528)(1200,2527)(1201,2526)(1202,2525)(1203,2524)(1204,2523)(1205,2522)(1206,2521)(1207,2520)(1208,2519)(1209,2518)(1210,2517)(1211,2516)(1212,2515)(1213,2514)(1214,2513)(1215,2512)(1216,2511)(1217,2510)(1218,2509)(1219,2508)(1220,2507)(1221,2506)(1222,2505)(1223,2504)(1224,2503)(1225,2502)(1226,2501)(1227,2500)(1228,2499)(1229,2498)(1230,2497)(1231,2496)(1232,2495)(1233,2494)(1234,2493)(1235,2492)(1236,2491)(1237,2490)(1238,2489)(1239,2488)(1240,2487)(1241,2486)(1242,2485)(1243,2484)(1244,2483)(1245,2482)(1246,2481)(1247,2480)(1248,2479)(1249,2478)(1250,2477)(1251,2476)(1252,2475)(1253,2474)(1254,2473)(1255,2472)(1256,2471)(1257,2470)(1258,2469)(1259,2468)(1260,2467)(1261,2466)(1262,2465)(1263,2464)(1264,2463)(1265,2462)(1266,2461)(1267,2460)(1268,2459)(1269,2458)(1270,2457)(1271,2456)(1272,2455)(1273,2454)(1274,2453)(1275,2452)(1276,2451)(1277,2450)(1278,2449)(1279,2448)(1280,2447)(1281,2446)(1282,2445)(1283,2444)(1284,2443)(1285,2442)(1286,2441)(1287,2440)(1288,2439)(1289,2438)(1290,2437)(1291,2436)(1292,2435)(1293,2434)(1294,2433)(1295,2432)(1296,2431)(1297,2430)(1298,2429)(1299,2428)(1300,2427)(1301,2426)(1302,2425)(1303,2424)(1304,2423)(1305,2422)(1306,2421)(1307,2420)(1308,2419)(1309,2418)(1310,2417)(1311,2416)(1312,2415)(1313,2414)(1314,2413)(1315,2412)(1316,2411)(1317,2410)(1318,2409)(1319,2408)(1320,2407)(1321,2406)(1322,2405)(1323,2404)(1324,2403)(1325,2402)(1326,2401)(1327,2400)(1328,2399)(1329,2398)(1330,2397)(1331,2396)(1332,2395)(1333,2394)(1334,2393)(1335,2392)(1336,2391)(1337,2390)(1338,2389)(1339,2388)(1340,2387)(1341,2386)(1342,2385)(1343,2384)(1344,2383)(1345,2382)(1346,2381)(1347,2380)(1348,2379)(1349,2378)(1350,2377)(1351,2376)(1352,2375)(1353,2374)(1354,2373)(1355,2372)(1356,2371)(1357,2370)(1358,2369)(1359,2368)(1360,2367)(1361,2366)(1362,2365)(1363,2364)(1364,2363)(1365,2362)(1366,2361)(1367,2360)(1368,2359)(1369,2358)(1370,2357)(1371,2356)(1372,2355)(1373,2354)(1374,2353)(1375,2352)(1376,2351)(1377,2350)(1378,2349)(1379,2348)(1380,2347)(1381,2346)(1382,2345)(1383,2344)(1384,2343)(1385,2342)(1386,2341)(1387,2340)(1388,2339)(1389,2338)(1390,2337)(1391,2336)(1392,2335)(1393,2334)(1394,2333)(1395,2332)(1396,2331)(1397,2330)(1398,2329)(1399,2328)(1400,2327)(1401,2326)(1402,2325)(1403,2324)(1404,2323)(1405,2322)(1406,2321)(1407,2320)(1408,2319)(1409,2318)(1410,2317)(1411,2316)(1412,2315)(1413,2314)(1414,2313)(1415,2312)(1416,2311)(1417,2310)(1418,2309)(1419,2308)(1420,2307)(1421,2306)(1422,2305)(1423,2304)(1424,2303)(1425,2302)(1426,2301)(1427,2300)(1428,2299)(1429,2298)(1430,2297)(1431,2296)(1432,2295)(1433,2294)(1434,2293)(1435,2292)(1436,2291)(1437,2290)(1438,2289)(1439,2288)(1440,2287)(1441,2286)(1442,2285)(1443,2284)(1444,2283)(1445,2282)(1446,2281)(1447,2280)(1448,2279)(1449,2278)(1450,2277)(1451,2276)(1452,2275)(1453,2274)(1454,2273)(1455,2272)(1456,2271)(1457,2270)(1458,2269)(1459,2268)(1460,2267)(1461,2266)(1462,2265)(1463,2264)(1464,2263)(1465,2262)(1466,2261)(1467,2260)(1468,2259)(1469,2258)(1470,2257)(1471,2256)(1472,2255)(1473,2254)(1474,2253)(1475,2252)(1476,2251)(1477,2250)(1478,2249)(1479,2248)(1480,2247)(1481,2246)(1482,2245)(1483,2244)(1484,2243)(1485,2242)(1486,2241)(1487,2240)(1488,2239)(1489,2238)(1490,2237)(1491,2236)(1492,2235)(1493,2234)(1494,2233)(1495,2232)(1496,2231)(1497,2230)(1498,2229)(1499,2228)(1500,2227)(1501,2226)(1502,2225)(1503,2224)(1504,2223)(1505,2222)(1506,2221)(1507,2220)(1508,2219)(1509,2218)(1510,2217)(1511,2216)(1512,2215)(1513,2214)(1514,2213)(1515,2212)(1516,2211)(1517,2210)(1518,2209)(1519,2208)(1520,2207)(1521,2206)(1522,2205)(1523,2204)(1524,2203)(1525,2202)(1526,2201)(1527,2200)(1528,2199)(1529,2198)(1530,2197)(1531,2196)(1532,2195)(1533,2194)(1534,2193)(1535,2192)(1536,2191)(1537,2190)(1538,2189)(1539,2188)(1540,2187)(1541,2186)(1542,2185)(1543,2184)(1544,2183)(1545,2182)(1546,2181)(1547,2180)(1548,2179)(1549,2178)(1550,2177)(1551,2176)(1552,2175)(1553,2174)(1554,2173)(1555,2172)(1556,2171)(1557,2170)(1558,2169)(1559,2168)(1560,2167)(1561,2166)(1562,2165)(1563,2164)(1564,2163)(1565,2162)(1566,2161)(1567,2160)(1568,2159)(1569,2158)(1570,2157)(1571,2156)(1572,2155)(1573,2154)(1574,2153)(1575,2152)(1576,2151)(1577,2150)(1578,2149)(1579,2148)(1580,2147)(1581,2146)(1582,2145)(1583,2144)(1584,2143)(1585,2142)(1586,2141)(1587,2140)(1588,2139)(1589,2138)(1590,2137)(1591,2136)(1592,2135)(1593,2134)(1594,2133)(1595,2132)(1596,2131)(1597,2130)(1598,2129)(1599,2128)(1600,2127)(1601,2126)(1602,2125)(1603,2124)(1604,2123)(1605,2122)(1606,2121)(1607,2120)(1608,2119)(1609,2118)(1610,2117)(1611,2116)(1612,2115)(1613,2114)(1614,2113)(1615,2112)(1616,2111)(1617,2110)(1618,2109)(1619,2108)(1620,2107)(1621,2106)(1622,2105)(1623,2104)(1624,2103)(1625,2102)(1626,2101)(1627,2100)(1628,2099)(1629,2098)(1630,2097)(1631,2096)(1632,2095)(1633,2094)(1634,2093)(1635,2092)(1636,2091)(1637,2090)(1638,2089)(1639,2088)(1640,2087)(1641,2086)(1642,2085)(1643,2084)(1644,2083)(1645,2082)(1646,2081)(1647,2080)(1648,2079)(1649,2078)(1650,2077)(1651,2076)(1652,2075)(1653,2074)(1654,2073)(1655,2072)(1656,2071)(1657,2070)(1658,2069)(1659,2068)(1660,2067)(1661,2066)(1662,2065)(1663,2064)(1664,2063)(1665,2062)(1666,2061)(1667,2060)(1668,2059)(1669,2058)(1670,2057)(1671,2056)(1672,2055)(1673,2054)(1674,2053)(1675,2052)(1676,2051)(1677,2050)(1678,2049)(1679,2048)(1680,2047)(1681,2046)(1682,2045)(1683,2044)(1684,2043)(1685,2042)(1686,2041)(1687,2040)(1688,2039)(1689,2038)(1690,2037)(1691,2036)(1692,2035)(1693,2034)(1694,2033)(1695,2032)(1696,2031)(1697,2030)(1698,2029)(1699,2028)(1700,2027)(1701,2026)(1702,2025)(1703,2024)(1704,2023)(1705,2022)(1706,2021)(1707,2020)(1708,2019)(1709,2018)(1710,2017)(1711,2016)(1712,2015)(1713,2014)(1714,2013)(1715,2012)(1716,2011)(1717,2010)(1718,2009)(1719,2008)(1720,2007)(1721,2006)(1722,2005)(1723,2004)(1724,2003)(1725,2002)(1726,2001)(1727,2000)(1728,1999)(1729,1998)(1730,1997)(1731,1996)(1732,1995)(1733,1994)(1734,1993)(1735,1992)(1736,1991)(1737,1990)(1738,1989)(1739,1988)(1740,1987)(1741,1986)(1742,1985)(1743,1984)(1744,1983)(1745,1982)(1746,1981)(1747,1980)(1748,1979)(1749,1978)(1750,1977)(1751,1976)(1752,1975)(1753,1974)(1754,1973)(1755,1972)(1756,1971)(1757,1970)(1758,1969)(1759,1968)(1760,1967)(1761,1966)(1762,1965)(1763,1964)(1764,1963)(1765,1962)(1766,1961)(1767,1960)(1768,1959)(1769,1958)(1770,1957)(1771,1956)(1772,1955)(1773,1954)(1774,1953)(1775,1952)(1776,1951)(1777,1950)(1778,1949)(1779,1948)(1780,1947)(1781,1946)(1782,1945)(1783,1944)(1784,1943)(1785,1942)(1786,1941)(1787,1940)(1788,1939)(1789,1938)(1790,1937)(1791,1936)(1792,1935)(1793,1934)(1794,1933)(1795,1932)(1796,1931)(1797,1930)(1798,1929)(1799,1928)(1800,1927)(1801,1926)(1802,1925)(1803,1924)(1804,1923)(1805,1922)(1806,1921)(1807,1920)(1808,1919)(1809,1918)(1810,1917)(1811,1916)(1812,1915)(1813,1914)(1814,1913)(1815,1912)(1816,1911)(1817,1910)(1818,1909)(1819,1908)(1820,1907)(1821,1906)(1822,1905)(1823,1904)(1824,1903)(1825,1902)(1826,1901)(1827,1900)(1828,1899)(1829,1898)(1830,1897)(1831,1896)(1832,1895)(1833,1894)(1834,1893)(1835,1892)(1836,1891)(1837,1890)(1838,1889)(1839,1888)(1840,1887)(1841,1886)(1842,1885)(1843,1884)(1844,1883)(1845,1882)(1846,1881)(1847,1880)(1848,1879)(1849,1878)(1850,1877)(1851,1876)(1852,1875)(1853,1874)(1854,1873)(1855,1872)(1856,1871)(1857,1870)(1858,1869)(1859,1868)(1860,1867)(1861,1866)(1862,1865)(1863,1864)

Polycyclic presentation:

2^3,3709|a^2=c,b^2=c,b^a=bc,d^b=d^3708

Conjugacy classes & character table

7421 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29672, 11);