Finite Group Databasebeta

?

← Prev (#45659750) Next (#45659752) →

Dic₈₂₂₂ #45659751

• 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 4119 points:

(1,2,3,4)(5,8,7,6)(9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2070,2071,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,2180,2181,2182,2183,2184,2185,2186,2187,2188,2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,2217,2218,2219,2220,2221,2222,2223,2224,2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2236,2237,2238,2239,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,2253,2254,2255,2256,2257,2258,2259,2260,2261,2262,2263,2264,2265,2266,2267,2268,2269,2270,2271,2272,2273,2274,2275,2276,2277,2278,2279,2280,2281,2282,2283,2284,2285,2286,2287,2288,2289,2290,2291,2292,2293,2294,2295,2296,2297,2298,2299,2300,2301,2302,2303,2304,2305,2306,2307,2308,2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,2320,2321,2322,2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,2333,2334,2335,2336,2337,2338,2339,2340,2341,2342,2343,2344,2345,2346,2347,2348,2349,2350,2351,2352,2353,2354,2355,2356,2357,2358,2359,2360,2361,2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,2372,2373,2374,2375,2376,2377,2378,2379,2380,2381,2382,2383,2384,2385,2386,2387,2388,2389,2390,2391,2392,2393,2394,2395,2396,2397,2398,2399,2400,2401,2402,2403,2404,2405,2406,2407,2408,2409,2410,2411,2412,2413,2414,2415,2416,2417,2418,2419,2420,2421,2422,2423,2424,2425,2426,2427,2428,2429,2430,2431,2432,2433,2434,2435,2436,2437,2438,2439,2440,2441,2442,2443,2444,2445,2446,2447,2448,2449,2450,2451,2452,2453,2454,2455,2456,2457,2458,2459,2460,2461,2462,2463,2464,2465,2466,2467,2468,2469,2470,2471,2472,2473,2474,2475,2476,2477,2478,2479,2480,2481,2482,2483,2484,2485,2486,2487,2488,2489,2490,2491,2492,2493,2494,2495,2496,2497,2498,2499,2500,2501,2502,2503,2504,2505,2506,2507,2508,2509,2510,2511,2512,2513,2514,2515,2516,2517,2518,2519,2520,2521,2522,2523,2524,2525,2526,2527,2528,2529,2530,2531,2532,2533,2534,2535,2536,2537,2538,2539,2540,2541,2542,2543,2544,2545,2546,2547,2548,2549,2550,2551,2552,2553,2554,2555,2556,2557,2558,2559,2560,2561,2562,2563,2564,2565,2566,2567,2568,2569,2570,2571,2572,2573,2574,2575,2576,2577,2578,2579,2580,2581,2582,2583,2584,2585,2586,2587,2588,2589,2590,2591,2592,2593,2594,2595,2596,2597,2598,2599,2600,2601,2602,2603,2604,2605,2606,2607,2608,2609,2610,2611,2612,2613,2614,2615,2616,2617,2618,2619,2620,2621,2622,2623,2624,2625,2626,2627,2628,2629,2630,2631,2632,2633,2634,2635,2636,2637,2638,2639,2640,2641,2642,2643,2644,2645,2646,2647,2648,2649,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,2662,2663,2664,2665,2666,2667,2668,2669,2670,2671,2672,2673,2674,2675,2676,2677,2678,2679,2680,2681,2682,2683,2684,2685,2686,2687,2688,2689,2690,2691,2692,2693,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,2705,2706,2707,2708,2709,2710,2711,2712,2713,2714,2715,2716,2717,2718,2719,2720,2721,2722,2723,2724,2725,2726,2727,2728,2729,2730,2731,2732,2733,2734,2735,2736,2737,2738,2739,2740,2741,2742,2743,2744,2745,2746,2747,2748,2749,2750,2751,2752,2753,2754,2755,2756,2757,2758,2759,2760,2761,2762,2763,2764,2765,2766,2767,2768,2769,2770,2771,2772,2773,2774,2775,2776,2777,2778,2779,2780,2781,2782,2783,2784,2785,2786,2787,2788,2789,2790,2791,2792,2793,2794,2795,2796,2797,2798,2799,2800,2801,2802,2803,2804,2805,2806,2807,2808,2809,2810,2811,2812,2813,2814,2815,2816,2817,2818,2819,2820,2821,2822,2823,2824,2825,2826,2827,2828,2829,2830,2831,2832,2833,2834,2835,2836,2837,2838,2839,2840,2841,2842,2843,2844,2845,2846,2847,2848,2849,2850,2851,2852,2853,2854,2855,2856,2857,2858,2859,2860,2861,2862,2863,2864,2865,2866,2867,2868,2869,2870,2871,2872,2873,2874,2875,2876,2877,2878,2879,2880,2881,2882,2883,2884,2885,2886,2887,2888,2889,2890,2891,2892,2893,2894,2895,2896,2897,2898,2899,2900,2901,2902,2903,2904,2905,2906,2907,2908,2909,2910,2911,2912,2913,2914,2915,2916,2917,2918,2919,2920,2921,2922,2923,2924,2925,2926,2927,2928,2929,2930,2931,2932,2933,2934,2935,2936,2937,2938,2939,2940,2941,2942,2943,2944,2945,2946,2947,2948,2949,2950,2951,2952,2953,2954,2955,2956,2957,2958,2959,2960,2961,2962,2963,2964,2965,2966,2967,2968,2969,2970,2971,2972,2973,2974,2975,2976,2977,2978,2979,2980,2981,2982,2983,2984,2985,2986,2987,2988,2989,2990,2991,2992,2993,2994,2995,2996,2997,2998,2999,3000,3001,3002,3003,3004,3005,3006,3007,3008,3009,3010,3011,3012,3013,3014,3015,3016,3017,3018,3019,3020,3021,3022,3023,3024,3025,3026,3027,3028,3029,3030,3031,3032,3033,3034,3035,3036,3037,3038,3039,3040,3041,3042,3043,3044,3045,3046,3047,3048,3049,3050,3051,3052,3053,3054,3055,3056,3057,3058,3059,3060,3061,3062,3063,3064,3065,3066,3067,3068,3069,3070,3071,3072,3073,3074,3075,3076,3077,3078,3079,3080,3081,3082,3083,3084,3085,3086,3087,3088,3089,3090,3091,3092,3093,3094,3095,3096,3097,3098,3099,3100,3101,3102,3103,3104,3105,3106,3107,3108,3109,3110,3111,3112,3113,3114,3115,3116,3117,3118,3119,3120,3121,3122,3123,3124,3125,3126,3127,3128,3129,3130,3131,3132,3133,3134,3135,3136,3137,3138,3139,3140,3141,3142,3143,3144,3145,3146,3147,3148,3149,3150,3151,3152,3153,3154,3155,3156,3157,3158,3159,3160,3161,3162,3163,3164,3165,3166,3167,3168,3169,3170,3171,3172,3173,3174,3175,3176,3177,3178,3179,3180,3181,3182,3183,3184,3185,3186,3187,3188,3189,3190,3191,3192,3193,3194,3195,3196,3197,3198,3199,3200,3201,3202,3203,3204,3205,3206,3207,3208,3209,3210,3211,3212,3213,3214,3215,3216,3217,3218,3219,3220,3221,3222,3223,3224,3225,3226,3227,3228,3229,3230,3231,3232,3233,3234,3235,3236,3237,3238,3239,3240,3241,3242,3243,3244,3245,3246,3247,3248,3249,3250,3251,3252,3253,3254,3255,3256,3257,3258,3259,3260,3261,3262,3263,3264,3265,3266,3267,3268,3269,3270,3271,3272,3273,3274,3275,3276,3277,3278,3279,3280,3281,3282,3283,3284,3285,3286,3287,3288,3289,3290,3291,3292,3293,3294,3295,3296,3297,3298,3299,3300,3301,3302,3303,3304,3305,3306,3307,3308,3309,3310,3311,3312,3313,3314,3315,3316,3317,3318,3319,3320,3321,3322,3323,3324,3325,3326,3327,3328,3329,3330,3331,3332,3333,3334,3335,3336,3337,3338,3339,3340,3341,3342,3343,3344,3345,3346,3347,3348,3349,3350,3351,3352,3353,3354,3355,3356,3357,3358,3359,3360,3361,3362,3363,3364,3365,3366,3367,3368,3369,3370,3371,3372,3373,3374,3375,3376,3377,3378,3379,3380,3381,3382,3383,3384,3385,3386,3387,3388,3389,3390,3391,3392,3393,3394,3395,3396,3397,3398,3399,3400,3401,3402,3403,3404,3405,3406,3407,3408,3409,3410,3411,3412,3413,3414,3415,3416,3417,3418,3419,3420,3421,3422,3423,3424,3425,3426,3427,3428,3429,3430,3431,3432,3433,3434,3435,3436,3437,3438,3439,3440,3441,3442,3443,3444,3445,3446,3447,3448,3449,3450,3451,3452,3453,3454,3455,3456,3457,3458,3459,3460,3461,3462,3463,3464,3465,3466,3467,3468,3469,3470,3471,3472,3473,3474,3475,3476,3477,3478,3479,3480,3481,3482,3483,3484,3485,3486,3487,3488,3489,3490,3491,3492,3493,3494,3495,3496,3497,3498,3499,3500,3501,3502,3503,3504,3505,3506,3507,3508,3509,3510,3511,3512,3513,3514,3515,3516,3517,3518,3519,3520,3521,3522,3523,3524,3525,3526,3527,3528,3529,3530,3531,3532,3533,3534,3535,3536,3537,3538,3539,3540,3541,3542,3543,3544,3545,3546,3547,3548,3549,3550,3551,3552,3553,3554,3555,3556,3557,3558,3559,3560,3561,3562,3563,3564,3565,3566,3567,3568,3569,3570,3571,3572,3573,3574,3575,3576,3577,3578,3579,3580,3581,3582,3583,3584,3585,3586,3587,3588,3589,3590,3591,3592,3593,3594,3595,3596,3597,3598,3599,3600,3601,3602,3603,3604,3605,3606,3607,3608,3609,3610,3611,3612,3613,3614,3615,3616,3617,3618,3619,3620,3621,3622,3623,3624,3625,3626,3627,3628,3629,3630,3631,3632,3633,3634,3635,3636,3637,3638,3639,3640,3641,3642,3643,3644,3645,3646,3647,3648,3649,3650,3651,3652,3653,3654,3655,3656,3657,3658,3659,3660,3661,3662,3663,3664,3665,3666,3667,3668,3669,3670,3671,3672,3673,3674,3675,3676,3677,3678,3679,3680,3681,3682,3683,3684,3685,3686,3687,3688,3689,3690,3691,3692,3693,3694,3695,3696,3697,3698,3699,3700,3701,3702,3703,3704,3705,3706,3707,3708,3709,3710,3711,3712,3713,3714,3715,3716,3717,3718,3719,3720,3721,3722,3723,3724,3725,3726,3727,3728,3729,3730,3731,3732,3733,3734,3735,3736,3737,3738,3739,3740,3741,3742,3743,3744,3745,3746,3747,3748,3749,3750,3751,3752,3753,3754,3755,3756,3757,3758,3759,3760,3761,3762,3763,3764,3765,3766,3767,3768,3769,3770,3771,3772,3773,3774,3775,3776,3777,3778,3779,3780,3781,3782,3783,3784,3785,3786,3787,3788,3789,3790,3791,3792,3793,3794,3795,3796,3797,3798,3799,3800,3801,3802,3803,3804,3805,3806,3807,3808,3809,3810,3811,3812,3813,3814,3815,3816,3817,3818,3819,3820,3821,3822,3823,3824,3825,3826,3827,3828,3829,3830,3831,3832,3833,3834,3835,3836,3837,3838,3839,3840,3841,3842,3843,3844,3845,3846,3847,3848,3849,3850,3851,3852,3853,3854,3855,3856,3857,3858,3859,3860,3861,3862,3863,3864,3865,3866,3867,3868,3869,3870,3871,3872,3873,3874,3875,3876,3877,3878,3879,3880,3881,3882,3883,3884,3885,3886,3887,3888,3889,3890,3891,3892,3893,3894,3895,3896,3897,3898,3899,3900,3901,3902,3903,3904,3905,3906,3907,3908,3909,3910,3911,3912,3913,3914,3915,3916,3917,3918,3919,3920,3921,3922,3923,3924,3925,3926,3927,3928,3929,3930,3931,3932,3933,3934,3935,3936,3937,3938,3939,3940,3941,3942,3943,3944,3945,3946,3947,3948,3949,3950,3951,3952,3953,3954,3955,3956,3957,3958,3959,3960,3961,3962,3963,3964,3965,3966,3967,3968,3969,3970,3971,3972,3973,3974,3975,3976,3977,3978,3979,3980,3981,3982,3983,3984,3985,3986,3987,3988,3989,3990,3991,3992,3993,3994,3995,3996,3997,3998,3999,4000,4001,4002,4003,4004,4005,4006,4007,4008,4009,4010,4011,4012,4013,4014,4015,4016,4017,4018,4019,4020,4021,4022,4023,4024,4025,4026,4027,4028,4029,4030,4031,4032,4033,4034,4035,4036,4037,4038,4039,4040,4041,4042,4043,4044,4045,4046,4047,4048,4049,4050,4051,4052,4053,4054,4055,4056,4057,4058,4059,4060,4061,4062,4063,4064,4065,4066,4067,4068,4069,4070,4071,4072,4073,4074,4075,4076,4077,4078,4079,4080,4081,4082,4083,4084,4085,4086,4087,4088,4089,4090,4091,4092,4093,4094,4095,4096,4097,4098,4099,4100,4101,4102,4103,4104,4105,4106,4107,4108,4109,4110,4111,4112,4113,4114,4115,4116,4117,4118,4119);(1,5,3,7)(2,6,4,8)(10,4119)(11,4118)(12,4117)(13,4116)(14,4115)(15,4114)(16,4113)(17,4112)(18,4111)(19,4110)(20,4109)(21,4108)(22,4107)(23,4106)(24,4105)(25,4104)(26,4103)(27,4102)(28,4101)(29,4100)(30,4099)(31,4098)(32,4097)(33,4096)(34,4095)(35,4094)(36,4093)(37,4092)(38,4091)(39,4090)(40,4089)(41,4088)(42,4087)(43,4086)(44,4085)(45,4084)(46,4083)(47,4082)(48,4081)(49,4080)(50,4079)(51,4078)(52,4077)(53,4076)(54,4075)(55,4074)(56,4073)(57,4072)(58,4071)(59,4070)(60,4069)(61,4068)(62,4067)(63,4066)(64,4065)(65,4064)(66,4063)(67,4062)(68,4061)(69,4060)(70,4059)(71,4058)(72,4057)(73,4056)(74,4055)(75,4054)(76,4053)(77,4052)(78,4051)(79,4050)(80,4049)(81,4048)(82,4047)(83,4046)(84,4045)(85,4044)(86,4043)(87,4042)(88,4041)(89,4040)(90,4039)(91,4038)(92,4037)(93,4036)(94,4035)(95,4034)(96,4033)(97,4032)(98,4031)(99,4030)(100,4029)(101,4028)(102,4027)(103,4026)(104,4025)(105,4024)(106,4023)(107,4022)(108,4021)(109,4020)(110,4019)(111,4018)(112,4017)(113,4016)(114,4015)(115,4014)(116,4013)(117,4012)(118,4011)(119,4010)(120,4009)(121,4008)(122,4007)(123,4006)(124,4005)(125,4004)(126,4003)(127,4002)(128,4001)(129,4000)(130,3999)(131,3998)(132,3997)(133,3996)(134,3995)(135,3994)(136,3993)(137,3992)(138,3991)(139,3990)(140,3989)(141,3988)(142,3987)(143,3986)(144,3985)(145,3984)(146,3983)(147,3982)(148,3981)(149,3980)(150,3979)(151,3978)(152,3977)(153,3976)(154,3975)(155,3974)(156,3973)(157,3972)(158,3971)(159,3970)(160,3969)(161,3968)(162,3967)(163,3966)(164,3965)(165,3964)(166,3963)(167,3962)(168,3961)(169,3960)(170,3959)(171,3958)(172,3957)(173,3956)(174,3955)(175,3954)(176,3953)(177,3952)(178,3951)(179,3950)(180,3949)(181,3948)(182,3947)(183,3946)(184,3945)(185,3944)(186,3943)(187,3942)(188,3941)(189,3940)(190,3939)(191,3938)(192,3937)(193,3936)(194,3935)(195,3934)(196,3933)(197,3932)(198,3931)(199,3930)(200,3929)(201,3928)(202,3927)(203,3926)(204,3925)(205,3924)(206,3923)(207,3922)(208,3921)(209,3920)(210,3919)(211,3918)(212,3917)(213,3916)(214,3915)(215,3914)(216,3913)(217,3912)(218,3911)(219,3910)(220,3909)(221,3908)(222,3907)(223,3906)(224,3905)(225,3904)(226,3903)(227,3902)(228,3901)(229,3900)(230,3899)(231,3898)(232,3897)(233,3896)(234,3895)(235,3894)(236,3893)(237,3892)(238,3891)(239,3890)(240,3889)(241,3888)(242,3887)(243,3886)(244,3885)(245,3884)(246,3883)(247,3882)(248,3881)(249,3880)(250,3879)(251,3878)(252,3877)(253,3876)(254,3875)(255,3874)(256,3873)(257,3872)(258,3871)(259,3870)(260,3869)(261,3868)(262,3867)(263,3866)(264,3865)(265,3864)(266,3863)(267,3862)(268,3861)(269,3860)(270,3859)(271,3858)(272,3857)(273,3856)(274,3855)(275,3854)(276,3853)(277,3852)(278,3851)(279,3850)(280,3849)(281,3848)(282,3847)(283,3846)(284,3845)(285,3844)(286,3843)(287,3842)(288,3841)(289,3840)(290,3839)(291,3838)(292,3837)(293,3836)(294,3835)(295,3834)(296,3833)(297,3832)(298,3831)(299,3830)(300,3829)(301,3828)(302,3827)(303,3826)(304,3825)(305,3824)(306,3823)(307,3822)(308,3821)(309,3820)(310,3819)(311,3818)(312,3817)(313,3816)(314,3815)(315,3814)(316,3813)(317,3812)(318,3811)(319,3810)(320,3809)(321,3808)(322,3807)(323,3806)(324,3805)(325,3804)(326,3803)(327,3802)(328,3801)(329,3800)(330,3799)(331,3798)(332,3797)(333,3796)(334,3795)(335,3794)(336,3793)(337,3792)(338,3791)(339,3790)(340,3789)(341,3788)(342,3787)(343,3786)(344,3785)(345,3784)(346,3783)(347,3782)(348,3781)(349,3780)(350,3779)(351,3778)(352,3777)(353,3776)(354,3775)(355,3774)(356,3773)(357,3772)(358,3771)(359,3770)(360,3769)(361,3768)(362,3767)(363,3766)(364,3765)(365,3764)(366,3763)(367,3762)(368,3761)(369,3760)(370,3759)(371,3758)(372,3757)(373,3756)(374,3755)(375,3754)(376,3753)(377,3752)(378,3751)(379,3750)(380,3749)(381,3748)(382,3747)(383,3746)(384,3745)(385,3744)(386,3743)(387,3742)(388,3741)(389,3740)(390,3739)(391,3738)(392,3737)(393,3736)(394,3735)(395,3734)(396,3733)(397,3732)(398,3731)(399,3730)(400,3729)(401,3728)(402,3727)(403,3726)(404,3725)(405,3724)(406,3723)(407,3722)(408,3721)(409,3720)(410,3719)(411,3718)(412,3717)(413,3716)(414,3715)(415,3714)(416,3713)(417,3712)(418,3711)(419,3710)(420,3709)(421,3708)(422,3707)(423,3706)(424,3705)(425,3704)(426,3703)(427,3702)(428,3701)(429,3700)(430,3699)(431,3698)(432,3697)(433,3696)(434,3695)(435,3694)(436,3693)(437,3692)(438,3691)(439,3690)(440,3689)(441,3688)(442,3687)(443,3686)(444,3685)(445,3684)(446,3683)(447,3682)(448,3681)(449,3680)(450,3679)(451,3678)(452,3677)(453,3676)(454,3675)(455,3674)(456,3673)(457,3672)(458,3671)(459,3670)(460,3669)(461,3668)(462,3667)(463,3666)(464,3665)(465,3664)(466,3663)(467,3662)(468,3661)(469,3660)(470,3659)(471,3658)(472,3657)(473,3656)(474,3655)(475,3654)(476,3653)(477,3652)(478,3651)(479,3650)(480,3649)(481,3648)(482,3647)(483,3646)(484,3645)(485,3644)(486,3643)(487,3642)(488,3641)(489,3640)(490,3639)(491,3638)(492,3637)(493,3636)(494,3635)(495,3634)(496,3633)(497,3632)(498,3631)(499,3630)(500,3629)(501,3628)(502,3627)(503,3626)(504,3625)(505,3624)(506,3623)(507,3622)(508,3621)(509,3620)(510,3619)(511,3618)(512,3617)(513,3616)(514,3615)(515,3614)(516,3613)(517,3612)(518,3611)(519,3610)(520,3609)(521,3608)(522,3607)(523,3606)(524,3605)(525,3604)(526,3603)(527,3602)(528,3601)(529,3600)(530,3599)(531,3598)(532,3597)(533,3596)(534,3595)(535,3594)(536,3593)(537,3592)(538,3591)(539,3590)(540,3589)(541,3588)(542,3587)(543,3586)(544,3585)(545,3584)(546,3583)(547,3582)(548,3581)(549,3580)(550,3579)(551,3578)(552,3577)(553,3576)(554,3575)(555,3574)(556,3573)(557,3572)(558,3571)(559,3570)(560,3569)(561,3568)(562,3567)(563,3566)(564,3565)(565,3564)(566,3563)(567,3562)(568,3561)(569,3560)(570,3559)(571,3558)(572,3557)(573,3556)(574,3555)(575,3554)(576,3553)(577,3552)(578,3551)(579,3550)(580,3549)(581,3548)(582,3547)(583,3546)(584,3545)(585,3544)(586,3543)(587,3542)(588,3541)(589,3540)(590,3539)(591,3538)(592,3537)(593,3536)(594,3535)(595,3534)(596,3533)(597,3532)(598,3531)(599,3530)(600,3529)(601,3528)(602,3527)(603,3526)(604,3525)(605,3524)(606,3523)(607,3522)(608,3521)(609,3520)(610,3519)(611,3518)(612,3517)(613,3516)(614,3515)(615,3514)(616,3513)(617,3512)(618,3511)(619,3510)(620,3509)(621,3508)(622,3507)(623,3506)(624,3505)(625,3504)(626,3503)(627,3502)(628,3501)(629,3500)(630,3499)(631,3498)(632,3497)(633,3496)(634,3495)(635,3494)(636,3493)(637,3492)(638,3491)(639,3490)(640,3489)(641,3488)(642,3487)(643,3486)(644,3485)(645,3484)(646,3483)(647,3482)(648,3481)(649,3480)(650,3479)(651,3478)(652,3477)(653,3476)(654,3475)(655,3474)(656,3473)(657,3472)(658,3471)(659,3470)(660,3469)(661,3468)(662,3467)(663,3466)(664,3465)(665,3464)(666,3463)(667,3462)(668,3461)(669,3460)(670,3459)(671,3458)(672,3457)(673,3456)(674,3455)(675,3454)(676,3453)(677,3452)(678,3451)(679,3450)(680,3449)(681,3448)(682,3447)(683,3446)(684,3445)(685,3444)(686,3443)(687,3442)(688,3441)(689,3440)(690,3439)(691,3438)(692,3437)(693,3436)(694,3435)(695,3434)(696,3433)(697,3432)(698,3431)(699,3430)(700,3429)(701,3428)(702,3427)(703,3426)(704,3425)(705,3424)(706,3423)(707,3422)(708,3421)(709,3420)(710,3419)(711,3418)(712,3417)(713,3416)(714,3415)(715,3414)(716,3413)(717,3412)(718,3411)(719,3410)(720,3409)(721,3408)(722,3407)(723,3406)(724,3405)(725,3404)(726,3403)(727,3402)(728,3401)(729,3400)(730,3399)(731,3398)(732,3397)(733,3396)(734,3395)(735,3394)(736,3393)(737,3392)(738,3391)(739,3390)(740,3389)(741,3388)(742,3387)(743,3386)(744,3385)(745,3384)(746,3383)(747,3382)(748,3381)(749,3380)(750,3379)(751,3378)(752,3377)(753,3376)(754,3375)(755,3374)(756,3373)(757,3372)(758,3371)(759,3370)(760,3369)(761,3368)(762,3367)(763,3366)(764,3365)(765,3364)(766,3363)(767,3362)(768,3361)(769,3360)(770,3359)(771,3358)(772,3357)(773,3356)(774,3355)(775,3354)(776,3353)(777,3352)(778,3351)(779,3350)(780,3349)(781,3348)(782,3347)(783,3346)(784,3345)(785,3344)(786,3343)(787,3342)(788,3341)(789,3340)(790,3339)(791,3338)(792,3337)(793,3336)(794,3335)(795,3334)(796,3333)(797,3332)(798,3331)(799,3330)(800,3329)(801,3328)(802,3327)(803,3326)(804,3325)(805,3324)(806,3323)(807,3322)(808,3321)(809,3320)(810,3319)(811,3318)(812,3317)(813,3316)(814,3315)(815,3314)(816,3313)(817,3312)(818,3311)(819,3310)(820,3309)(821,3308)(822,3307)(823,3306)(824,3305)(825,3304)(826,3303)(827,3302)(828,3301)(829,3300)(830,3299)(831,3298)(832,3297)(833,3296)(834,3295)(835,3294)(836,3293)(837,3292)(838,3291)(839,3290)(840,3289)(841,3288)(842,3287)(843,3286)(844,3285)(845,3284)(846,3283)(847,3282)(848,3281)(849,3280)(850,3279)(851,3278)(852,3277)(853,3276)(854,3275)(855,3274)(856,3273)(857,3272)(858,3271)(859,3270)(860,3269)(861,3268)(862,3267)(863,3266)(864,3265)(865,3264)(866,3263)(867,3262)(868,3261)(869,3260)(870,3259)(871,3258)(872,3257)(873,3256)(874,3255)(875,3254)(876,3253)(877,3252)(878,3251)(879,3250)(880,3249)(881,3248)(882,3247)(883,3246)(884,3245)(885,3244)(886,3243)(887,3242)(888,3241)(889,3240)(890,3239)(891,3238)(892,3237)(893,3236)(894,3235)(895,3234)(896,3233)(897,3232)(898,3231)(899,3230)(900,3229)(901,3228)(902,3227)(903,3226)(904,3225)(905,3224)(906,3223)(907,3222)(908,3221)(909,3220)(910,3219)(911,3218)(912,3217)(913,3216)(914,3215)(915,3214)(916,3213)(917,3212)(918,3211)(919,3210)(920,3209)(921,3208)(922,3207)(923,3206)(924,3205)(925,3204)(926,3203)(927,3202)(928,3201)(929,3200)(930,3199)(931,3198)(932,3197)(933,3196)(934,3195)(935,3194)(936,3193)(937,3192)(938,3191)(939,3190)(940,3189)(941,3188)(942,3187)(943,3186)(944,3185)(945,3184)(946,3183)(947,3182)(948,3181)(949,3180)(950,3179)(951,3178)(952,3177)(953,3176)(954,3175)(955,3174)(956,3173)(957,3172)(958,3171)(959,3170)(960,3169)(961,3168)(962,3167)(963,3166)(964,3165)(965,3164)(966,3163)(967,3162)(968,3161)(969,3160)(970,3159)(971,3158)(972,3157)(973,3156)(974,3155)(975,3154)(976,3153)(977,3152)(978,3151)(979,3150)(980,3149)(981,3148)(982,3147)(983,3146)(984,3145)(985,3144)(986,3143)(987,3142)(988,3141)(989,3140)(990,3139)(991,3138)(992,3137)(993,3136)(994,3135)(995,3134)(996,3133)(997,3132)(998,3131)(999,3130)(1000,3129)(1001,3128)(1002,3127)(1003,3126)(1004,3125)(1005,3124)(1006,3123)(1007,3122)(1008,3121)(1009,3120)(1010,3119)(1011,3118)(1012,3117)(1013,3116)(1014,3115)(1015,3114)(1016,3113)(1017,3112)(1018,3111)(1019,3110)(1020,3109)(1021,3108)(1022,3107)(1023,3106)(1024,3105)(1025,3104)(1026,3103)(1027,3102)(1028,3101)(1029,3100)(1030,3099)(1031,3098)(1032,3097)(1033,3096)(1034,3095)(1035,3094)(1036,3093)(1037,3092)(1038,3091)(1039,3090)(1040,3089)(1041,3088)(1042,3087)(1043,3086)(1044,3085)(1045,3084)(1046,3083)(1047,3082)(1048,3081)(1049,3080)(1050,3079)(1051,3078)(1052,3077)(1053,3076)(1054,3075)(1055,3074)(1056,3073)(1057,3072)(1058,3071)(1059,3070)(1060,3069)(1061,3068)(1062,3067)(1063,3066)(1064,3065)(1065,3064)(1066,3063)(1067,3062)(1068,3061)(1069,3060)(1070,3059)(1071,3058)(1072,3057)(1073,3056)(1074,3055)(1075,3054)(1076,3053)(1077,3052)(1078,3051)(1079,3050)(1080,3049)(1081,3048)(1082,3047)(1083,3046)(1084,3045)(1085,3044)(1086,3043)(1087,3042)(1088,3041)(1089,3040)(1090,3039)(1091,3038)(1092,3037)(1093,3036)(1094,3035)(1095,3034)(1096,3033)(1097,3032)(1098,3031)(1099,3030)(1100,3029)(1101,3028)(1102,3027)(1103,3026)(1104,3025)(1105,3024)(1106,3023)(1107,3022)(1108,3021)(1109,3020)(1110,3019)(1111,3018)(1112,3017)(1113,3016)(1114,3015)(1115,3014)(1116,3013)(1117,3012)(1118,3011)(1119,3010)(1120,3009)(1121,3008)(1122,3007)(1123,3006)(1124,3005)(1125,3004)(1126,3003)(1127,3002)(1128,3001)(1129,3000)(1130,2999)(1131,2998)(1132,2997)(1133,2996)(1134,2995)(1135,2994)(1136,2993)(1137,2992)(1138,2991)(1139,2990)(1140,2989)(1141,2988)(1142,2987)(1143,2986)(1144,2985)(1145,2984)(1146,2983)(1147,2982)(1148,2981)(1149,2980)(1150,2979)(1151,2978)(1152,2977)(1153,2976)(1154,2975)(1155,2974)(1156,2973)(1157,2972)(1158,2971)(1159,2970)(1160,2969)(1161,2968)(1162,2967)(1163,2966)(1164,2965)(1165,2964)(1166,2963)(1167,2962)(1168,2961)(1169,2960)(1170,2959)(1171,2958)(1172,2957)(1173,2956)(1174,2955)(1175,2954)(1176,2953)(1177,2952)(1178,2951)(1179,2950)(1180,2949)(1181,2948)(1182,2947)(1183,2946)(1184,2945)(1185,2944)(1186,2943)(1187,2942)(1188,2941)(1189,2940)(1190,2939)(1191,2938)(1192,2937)(1193,2936)(1194,2935)(1195,2934)(1196,2933)(1197,2932)(1198,2931)(1199,2930)(1200,2929)(1201,2928)(1202,2927)(1203,2926)(1204,2925)(1205,2924)(1206,2923)(1207,2922)(1208,2921)(1209,2920)(1210,2919)(1211,2918)(1212,2917)(1213,2916)(1214,2915)(1215,2914)(1216,2913)(1217,2912)(1218,2911)(1219,2910)(1220,2909)(1221,2908)(1222,2907)(1223,2906)(1224,2905)(1225,2904)(1226,2903)(1227,2902)(1228,2901)(1229,2900)(1230,2899)(1231,2898)(1232,2897)(1233,2896)(1234,2895)(1235,2894)(1236,2893)(1237,2892)(1238,2891)(1239,2890)(1240,2889)(1241,2888)(1242,2887)(1243,2886)(1244,2885)(1245,2884)(1246,2883)(1247,2882)(1248,2881)(1249,2880)(1250,2879)(1251,2878)(1252,2877)(1253,2876)(1254,2875)(1255,2874)(1256,2873)(1257,2872)(1258,2871)(1259,2870)(1260,2869)(1261,2868)(1262,2867)(1263,2866)(1264,2865)(1265,2864)(1266,2863)(1267,2862)(1268,2861)(1269,2860)(1270,2859)(1271,2858)(1272,2857)(1273,2856)(1274,2855)(1275,2854)(1276,2853)(1277,2852)(1278,2851)(1279,2850)(1280,2849)(1281,2848)(1282,2847)(1283,2846)(1284,2845)(1285,2844)(1286,2843)(1287,2842)(1288,2841)(1289,2840)(1290,2839)(1291,2838)(1292,2837)(1293,2836)(1294,2835)(1295,2834)(1296,2833)(1297,2832)(1298,2831)(1299,2830)(1300,2829)(1301,2828)(1302,2827)(1303,2826)(1304,2825)(1305,2824)(1306,2823)(1307,2822)(1308,2821)(1309,2820)(1310,2819)(1311,2818)(1312,2817)(1313,2816)(1314,2815)(1315,2814)(1316,2813)(1317,2812)(1318,2811)(1319,2810)(1320,2809)(1321,2808)(1322,2807)(1323,2806)(1324,2805)(1325,2804)(1326,2803)(1327,2802)(1328,2801)(1329,2800)(1330,2799)(1331,2798)(1332,2797)(1333,2796)(1334,2795)(1335,2794)(1336,2793)(1337,2792)(1338,2791)(1339,2790)(1340,2789)(1341,2788)(1342,2787)(1343,2786)(1344,2785)(1345,2784)(1346,2783)(1347,2782)(1348,2781)(1349,2780)(1350,2779)(1351,2778)(1352,2777)(1353,2776)(1354,2775)(1355,2774)(1356,2773)(1357,2772)(1358,2771)(1359,2770)(1360,2769)(1361,2768)(1362,2767)(1363,2766)(1364,2765)(1365,2764)(1366,2763)(1367,2762)(1368,2761)(1369,2760)(1370,2759)(1371,2758)(1372,2757)(1373,2756)(1374,2755)(1375,2754)(1376,2753)(1377,2752)(1378,2751)(1379,2750)(1380,2749)(1381,2748)(1382,2747)(1383,2746)(1384,2745)(1385,2744)(1386,2743)(1387,2742)(1388,2741)(1389,2740)(1390,2739)(1391,2738)(1392,2737)(1393,2736)(1394,2735)(1395,2734)(1396,2733)(1397,2732)(1398,2731)(1399,2730)(1400,2729)(1401,2728)(1402,2727)(1403,2726)(1404,2725)(1405,2724)(1406,2723)(1407,2722)(1408,2721)(1409,2720)(1410,2719)(1411,2718)(1412,2717)(1413,2716)(1414,2715)(1415,2714)(1416,2713)(1417,2712)(1418,2711)(1419,2710)(1420,2709)(1421,2708)(1422,2707)(1423,2706)(1424,2705)(1425,2704)(1426,2703)(1427,2702)(1428,2701)(1429,2700)(1430,2699)(1431,2698)(1432,2697)(1433,2696)(1434,2695)(1435,2694)(1436,2693)(1437,2692)(1438,2691)(1439,2690)(1440,2689)(1441,2688)(1442,2687)(1443,2686)(1444,2685)(1445,2684)(1446,2683)(1447,2682)(1448,2681)(1449,2680)(1450,2679)(1451,2678)(1452,2677)(1453,2676)(1454,2675)(1455,2674)(1456,2673)(1457,2672)(1458,2671)(1459,2670)(1460,2669)(1461,2668)(1462,2667)(1463,2666)(1464,2665)(1465,2664)(1466,2663)(1467,2662)(1468,2661)(1469,2660)(1470,2659)(1471,2658)(1472,2657)(1473,2656)(1474,2655)(1475,2654)(1476,2653)(1477,2652)(1478,2651)(1479,2650)(1480,2649)(1481,2648)(1482,2647)(1483,2646)(1484,2645)(1485,2644)(1486,2643)(1487,2642)(1488,2641)(1489,2640)(1490,2639)(1491,2638)(1492,2637)(1493,2636)(1494,2635)(1495,2634)(1496,2633)(1497,2632)(1498,2631)(1499,2630)(1500,2629)(1501,2628)(1502,2627)(1503,2626)(1504,2625)(1505,2624)(1506,2623)(1507,2622)(1508,2621)(1509,2620)(1510,2619)(1511,2618)(1512,2617)(1513,2616)(1514,2615)(1515,2614)(1516,2613)(1517,2612)(1518,2611)(1519,2610)(1520,2609)(1521,2608)(1522,2607)(1523,2606)(1524,2605)(1525,2604)(1526,2603)(1527,2602)(1528,2601)(1529,2600)(1530,2599)(1531,2598)(1532,2597)(1533,2596)(1534,2595)(1535,2594)(1536,2593)(1537,2592)(1538,2591)(1539,2590)(1540,2589)(1541,2588)(1542,2587)(1543,2586)(1544,2585)(1545,2584)(1546,2583)(1547,2582)(1548,2581)(1549,2580)(1550,2579)(1551,2578)(1552,2577)(1553,2576)(1554,2575)(1555,2574)(1556,2573)(1557,2572)(1558,2571)(1559,2570)(1560,2569)(1561,2568)(1562,2567)(1563,2566)(1564,2565)(1565,2564)(1566,2563)(1567,2562)(1568,2561)(1569,2560)(1570,2559)(1571,2558)(1572,2557)(1573,2556)(1574,2555)(1575,2554)(1576,2553)(1577,2552)(1578,2551)(1579,2550)(1580,2549)(1581,2548)(1582,2547)(1583,2546)(1584,2545)(1585,2544)(1586,2543)(1587,2542)(1588,2541)(1589,2540)(1590,2539)(1591,2538)(1592,2537)(1593,2536)(1594,2535)(1595,2534)(1596,2533)(1597,2532)(1598,2531)(1599,2530)(1600,2529)(1601,2528)(1602,2527)(1603,2526)(1604,2525)(1605,2524)(1606,2523)(1607,2522)(1608,2521)(1609,2520)(1610,2519)(1611,2518)(1612,2517)(1613,2516)(1614,2515)(1615,2514)(1616,2513)(1617,2512)(1618,2511)(1619,2510)(1620,2509)(1621,2508)(1622,2507)(1623,2506)(1624,2505)(1625,2504)(1626,2503)(1627,2502)(1628,2501)(1629,2500)(1630,2499)(1631,2498)(1632,2497)(1633,2496)(1634,2495)(1635,2494)(1636,2493)(1637,2492)(1638,2491)(1639,2490)(1640,2489)(1641,2488)(1642,2487)(1643,2486)(1644,2485)(1645,2484)(1646,2483)(1647,2482)(1648,2481)(1649,2480)(1650,2479)(1651,2478)(1652,2477)(1653,2476)(1654,2475)(1655,2474)(1656,2473)(1657,2472)(1658,2471)(1659,2470)(1660,2469)(1661,2468)(1662,2467)(1663,2466)(1664,2465)(1665,2464)(1666,2463)(1667,2462)(1668,2461)(1669,2460)(1670,2459)(1671,2458)(1672,2457)(1673,2456)(1674,2455)(1675,2454)(1676,2453)(1677,2452)(1678,2451)(1679,2450)(1680,2449)(1681,2448)(1682,2447)(1683,2446)(1684,2445)(1685,2444)(1686,2443)(1687,2442)(1688,2441)(1689,2440)(1690,2439)(1691,2438)(1692,2437)(1693,2436)(1694,2435)(1695,2434)(1696,2433)(1697,2432)(1698,2431)(1699,2430)(1700,2429)(1701,2428)(1702,2427)(1703,2426)(1704,2425)(1705,2424)(1706,2423)(1707,2422)(1708,2421)(1709,2420)(1710,2419)(1711,2418)(1712,2417)(1713,2416)(1714,2415)(1715,2414)(1716,2413)(1717,2412)(1718,2411)(1719,2410)(1720,2409)(1721,2408)(1722,2407)(1723,2406)(1724,2405)(1725,2404)(1726,2403)(1727,2402)(1728,2401)(1729,2400)(1730,2399)(1731,2398)(1732,2397)(1733,2396)(1734,2395)(1735,2394)(1736,2393)(1737,2392)(1738,2391)(1739,2390)(1740,2389)(1741,2388)(1742,2387)(1743,2386)(1744,2385)(1745,2384)(1746,2383)(1747,2382)(1748,2381)(1749,2380)(1750,2379)(1751,2378)(1752,2377)(1753,2376)(1754,2375)(1755,2374)(1756,2373)(1757,2372)(1758,2371)(1759,2370)(1760,2369)(1761,2368)(1762,2367)(1763,2366)(1764,2365)(1765,2364)(1766,2363)(1767,2362)(1768,2361)(1769,2360)(1770,2359)(1771,2358)(1772,2357)(1773,2356)(1774,2355)(1775,2354)(1776,2353)(1777,2352)(1778,2351)(1779,2350)(1780,2349)(1781,2348)(1782,2347)(1783,2346)(1784,2345)(1785,2344)(1786,2343)(1787,2342)(1788,2341)(1789,2340)(1790,2339)(1791,2338)(1792,2337)(1793,2336)(1794,2335)(1795,2334)(1796,2333)(1797,2332)(1798,2331)(1799,2330)(1800,2329)(1801,2328)(1802,2327)(1803,2326)(1804,2325)(1805,2324)(1806,2323)(1807,2322)(1808,2321)(1809,2320)(1810,2319)(1811,2318)(1812,2317)(1813,2316)(1814,2315)(1815,2314)(1816,2313)(1817,2312)(1818,2311)(1819,2310)(1820,2309)(1821,2308)(1822,2307)(1823,2306)(1824,2305)(1825,2304)(1826,2303)(1827,2302)(1828,2301)(1829,2300)(1830,2299)(1831,2298)(1832,2297)(1833,2296)(1834,2295)(1835,2294)(1836,2293)(1837,2292)(1838,2291)(1839,2290)(1840,2289)(1841,2288)(1842,2287)(1843,2286)(1844,2285)(1845,2284)(1846,2283)(1847,2282)(1848,2281)(1849,2280)(1850,2279)(1851,2278)(1852,2277)(1853,2276)(1854,2275)(1855,2274)(1856,2273)(1857,2272)(1858,2271)(1859,2270)(1860,2269)(1861,2268)(1862,2267)(1863,2266)(1864,2265)(1865,2264)(1866,2263)(1867,2262)(1868,2261)(1869,2260)(1870,2259)(1871,2258)(1872,2257)(1873,2256)(1874,2255)(1875,2254)(1876,2253)(1877,2252)(1878,2251)(1879,2250)(1880,2249)(1881,2248)(1882,2247)(1883,2246)(1884,2245)(1885,2244)(1886,2243)(1887,2242)(1888,2241)(1889,2240)(1890,2239)(1891,2238)(1892,2237)(1893,2236)(1894,2235)(1895,2234)(1896,2233)(1897,2232)(1898,2231)(1899,2230)(1900,2229)(1901,2228)(1902,2227)(1903,2226)(1904,2225)(1905,2224)(1906,2223)(1907,2222)(1908,2221)(1909,2220)(1910,2219)(1911,2218)(1912,2217)(1913,2216)(1914,2215)(1915,2214)(1916,2213)(1917,2212)(1918,2211)(1919,2210)(1920,2209)(1921,2208)(1922,2207)(1923,2206)(1924,2205)(1925,2204)(1926,2203)(1927,2202)(1928,2201)(1929,2200)(1930,2199)(1931,2198)(1932,2197)(1933,2196)(1934,2195)(1935,2194)(1936,2193)(1937,2192)(1938,2191)(1939,2190)(1940,2189)(1941,2188)(1942,2187)(1943,2186)(1944,2185)(1945,2184)(1946,2183)(1947,2182)(1948,2181)(1949,2180)(1950,2179)(1951,2178)(1952,2177)(1953,2176)(1954,2175)(1955,2174)(1956,2173)(1957,2172)(1958,2171)(1959,2170)(1960,2169)(1961,2168)(1962,2167)(1963,2166)(1964,2165)(1965,2164)(1966,2163)(1967,2162)(1968,2161)(1969,2160)(1970,2159)(1971,2158)(1972,2157)(1973,2156)(1974,2155)(1975,2154)(1976,2153)(1977,2152)(1978,2151)(1979,2150)(1980,2149)(1981,2148)(1982,2147)(1983,2146)(1984,2145)(1985,2144)(1986,2143)(1987,2142)(1988,2141)(1989,2140)(1990,2139)(1991,2138)(1992,2137)(1993,2136)(1994,2135)(1995,2134)(1996,2133)(1997,2132)(1998,2131)(1999,2130)(2000,2129)(2001,2128)(2002,2127)(2003,2126)(2004,2125)(2005,2124)(2006,2123)(2007,2122)(2008,2121)(2009,2120)(2010,2119)(2011,2118)(2012,2117)(2013,2116)(2014,2115)(2015,2114)(2016,2113)(2017,2112)(2018,2111)(2019,2110)(2020,2109)(2021,2108)(2022,2107)(2023,2106)(2024,2105)(2025,2104)(2026,2103)(2027,2102)(2028,2101)(2029,2100)(2030,2099)(2031,2098)(2032,2097)(2033,2096)(2034,2095)(2035,2094)(2036,2093)(2037,2092)(2038,2091)(2039,2090)(2040,2089)(2041,2088)(2042,2087)(2043,2086)(2044,2085)(2045,2084)(2046,2083)(2047,2082)(2048,2081)(2049,2080)(2050,2079)(2051,2078)(2052,2077)(2053,2076)(2054,2075)(2055,2074)(2056,2073)(2057,2072)(2058,2071)(2059,2070)(2060,2069)(2061,2068)(2062,2067)(2063,2066)(2064,2065)

Polycyclic presentation:

2^3,4111|a^2=c,b^2=c,b^a=bc,d^b=d^4110

Conjugacy classes & character table

8225 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32888, 11);