Finite Group DatabasebetaFinite Group Databasebeta| order | 33944 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C2 |
| dihedral | D16972 |
| unambiguous semidirect product | C4⋊D4243 |
| Fitting | C4×C4243 ⋊ C2 |
| Sylow | C4243 ⋊ D4 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C2 | C2×D4243 |
| commutator, socle, cosocle | C2×C4243 | C22 |
| Fitting | C4×C4243 | C2 |
| hypercenter | C4 | D4243 |
| hypocenter | C4243 | D4 |
| LCS | G ▷ C2×C4243 ▷ C4243 | |
| UCS | C1 ◁ C2 ◁ C4 | |
16 conjugacy classes of subgroups.
| minimal degree | μ(G) = 4247 |
| transitive degree | μt(G) = 16972 |
A minimal faithful permutation representation — 2 generators on 4247 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);(2,4)(6,4247)(7,4246)(8,4245)(9,4244)(10,4243)(11,4242)(12,4241)(13,4240)(14,4239)(15,4238)(16,4237)(17,4236)(18,4235)(19,4234)(20,4233)(21,4232)(22,4231)(23,4230)(24,4229)(25,4228)(26,4227)(27,4226)(28,4225)(29,4224)(30,4223)(31,4222)(32,4221)(33,4220)(34,4219)(35,4218)(36,4217)(37,4216)(38,4215)(39,4214)(40,4213)(41,4212)(42,4211)(43,4210)(44,4209)(45,4208)(46,4207)(47,4206)(48,4205)(49,4204)(50,4203)(51,4202)(52,4201)(53,4200)(54,4199)(55,4198)(56,4197)(57,4196)(58,4195)(59,4194)(60,4193)(61,4192)(62,4191)(63,4190)(64,4189)(65,4188)(66,4187)(67,4186)(68,4185)(69,4184)(70,4183)(71,4182)(72,4181)(73,4180)(74,4179)(75,4178)(76,4177)(77,4176)(78,4175)(79,4174)(80,4173)(81,4172)(82,4171)(83,4170)(84,4169)(85,4168)(86,4167)(87,4166)(88,4165)(89,4164)(90,4163)(91,4162)(92,4161)(93,4160)(94,4159)(95,4158)(96,4157)(97,4156)(98,4155)(99,4154)(100,4153)(101,4152)(102,4151)(103,4150)(104,4149)(105,4148)(106,4147)(107,4146)(108,4145)(109,4144)(110,4143)(111,4142)(112,4141)(113,4140)(114,4139)(115,4138)(116,4137)(117,4136)(118,4135)(119,4134)(120,4133)(121,4132)(122,4131)(123,4130)(124,4129)(125,4128)(126,4127)(127,4126)(128,4125)(129,4124)(130,4123)(131,4122)(132,4121)(133,4120)(134,4119)(135,4118)(136,4117)(137,4116)(138,4115)(139,4114)(140,4113)(141,4112)(142,4111)(143,4110)(144,4109)(145,4108)(146,4107)(147,4106)(148,4105)(149,4104)(150,4103)(151,4102)(152,4101)(153,4100)(154,4099)(155,4098)(156,4097)(157,4096)(158,4095)(159,4094)(160,4093)(161,4092)(162,4091)(163,4090)(164,4089)(165,4088)(166,4087)(167,4086)(168,4085)(169,4084)(170,4083)(171,4082)(172,4081)(173,4080)(174,4079)(175,4078)(176,4077)(177,4076)(178,4075)(179,4074)(180,4073)(181,4072)(182,4071)(183,4070)(184,4069)(185,4068)(186,4067)(187,4066)(188,4065)(189,4064)(190,4063)(191,4062)(192,4061)(193,4060)(194,4059)(195,4058)(196,4057)(197,4056)(198,4055)(199,4054)(200,4053)(201,4052)(202,4051)(203,4050)(204,4049)(205,4048)(206,4047)(207,4046)(208,4045)(209,4044)(210,4043)(211,4042)(212,4041)(213,4040)(214,4039)(215,4038)(216,4037)(217,4036)(218,4035)(219,4034)(220,4033)(221,4032)(222,4031)(223,4030)(224,4029)(225,4028)(226,4027)(227,4026)(228,4025)(229,4024)(230,4023)(231,4022)(232,4021)(233,4020)(234,4019)(235,4018)(236,4017)(237,4016)(238,4015)(239,4014)(240,4013)(241,4012)(242,4011)(243,4010)(244,4009)(245,4008)(246,4007)(247,4006)(248,4005)(249,4004)(250,4003)(251,4002)(252,4001)(253,4000)(254,3999)(255,3998)(256,3997)(257,3996)(258,3995)(259,3994)(260,3993)(261,3992)(262,3991)(263,3990)(264,3989)(265,3988)(266,3987)(267,3986)(268,3985)(269,3984)(270,3983)(271,3982)(272,3981)(273,3980)(274,3979)(275,3978)(276,3977)(277,3976)(278,3975)(279,3974)(280,3973)(281,3972)(282,3971)(283,3970)(284,3969)(285,3968)(286,3967)(287,3966)(288,3965)(289,3964)(290,3963)(291,3962)(292,3961)(293,3960)(294,3959)(295,3958)(296,3957)(297,3956)(298,3955)(299,3954)(300,3953)(301,3952)(302,3951)(303,3950)(304,3949)(305,3948)(306,3947)(307,3946)(308,3945)(309,3944)(310,3943)(311,3942)(312,3941)(313,3940)(314,3939)(315,3938)(316,3937)(317,3936)(318,3935)(319,3934)(320,3933)(321,3932)(322,3931)(323,3930)(324,3929)(325,3928)(326,3927)(327,3926)(328,3925)(329,3924)(330,3923)(331,3922)(332,3921)(333,3920)(334,3919)(335,3918)(336,3917)(337,3916)(338,3915)(339,3914)(340,3913)(341,3912)(342,3911)(343,3910)(344,3909)(345,3908)(346,3907)(347,3906)(348,3905)(349,3904)(350,3903)(351,3902)(352,3901)(353,3900)(354,3899)(355,3898)(356,3897)(357,3896)(358,3895)(359,3894)(360,3893)(361,3892)(362,3891)(363,3890)(364,3889)(365,3888)(366,3887)(367,3886)(368,3885)(369,3884)(370,3883)(371,3882)(372,3881)(373,3880)(374,3879)(375,3878)(376,3877)(377,3876)(378,3875)(379,3874)(380,3873)(381,3872)(382,3871)(383,3870)(384,3869)(385,3868)(386,3867)(387,3866)(388,3865)(389,3864)(390,3863)(391,3862)(392,3861)(393,3860)(394,3859)(395,3858)(396,3857)(397,3856)(398,3855)(399,3854)(400,3853)(401,3852)(402,3851)(403,3850)(404,3849)(405,3848)(406,3847)(407,3846)(408,3845)(409,3844)(410,3843)(411,3842)(412,3841)(413,3840)(414,3839)(415,3838)(416,3837)(417,3836)(418,3835)(419,3834)(420,3833)(421,3832)(422,3831)(423,3830)(424,3829)(425,3828)(426,3827)(427,3826)(428,3825)(429,3824)(430,3823)(431,3822)(432,3821)(433,3820)(434,3819)(435,3818)(436,3817)(437,3816)(438,3815)(439,3814)(440,3813)(441,3812)(442,3811)(443,3810)(444,3809)(445,3808)(446,3807)(447,3806)(448,3805)(449,3804)(450,3803)(451,3802)(452,3801)(453,3800)(454,3799)(455,3798)(456,3797)(457,3796)(458,3795)(459,3794)(460,3793)(461,3792)(462,3791)(463,3790)(464,3789)(465,3788)(466,3787)(467,3786)(468,3785)(469,3784)(470,3783)(471,3782)(472,3781)(473,3780)(474,3779)(475,3778)(476,3777)(477,3776)(478,3775)(479,3774)(480,3773)(481,3772)(482,3771)(483,3770)(484,3769)(485,3768)(486,3767)(487,3766)(488,3765)(489,3764)(490,3763)(491,3762)(492,3761)(493,3760)(494,3759)(495,3758)(496,3757)(497,3756)(498,3755)(499,3754)(500,3753)(501,3752)(502,3751)(503,3750)(504,3749)(505,3748)(506,3747)(507,3746)(508,3745)(509,3744)(510,3743)(511,3742)(512,3741)(513,3740)(514,3739)(515,3738)(516,3737)(517,3736)(518,3735)(519,3734)(520,3733)(521,3732)(522,3731)(523,3730)(524,3729)(525,3728)(526,3727)(527,3726)(528,3725)(529,3724)(530,3723)(531,3722)(532,3721)(533,3720)(534,3719)(535,3718)(536,3717)(537,3716)(538,3715)(539,3714)(540,3713)(541,3712)(542,3711)(543,3710)(544,3709)(545,3708)(546,3707)(547,3706)(548,3705)(549,3704)(550,3703)(551,3702)(552,3701)(553,3700)(554,3699)(555,3698)(556,3697)(557,3696)(558,3695)(559,3694)(560,3693)(561,3692)(562,3691)(563,3690)(564,3689)(565,3688)(566,3687)(567,3686)(568,3685)(569,3684)(570,3683)(571,3682)(572,3681)(573,3680)(574,3679)(575,3678)(576,3677)(577,3676)(578,3675)(579,3674)(580,3673)(581,3672)(582,3671)(583,3670)(584,3669)(585,3668)(586,3667)(587,3666)(588,3665)(589,3664)(590,3663)(591,3662)(592,3661)(593,3660)(594,3659)(595,3658)(596,3657)(597,3656)(598,3655)(599,3654)(600,3653)(601,3652)(602,3651)(603,3650)(604,3649)(605,3648)(606,3647)(607,3646)(608,3645)(609,3644)(610,3643)(611,3642)(612,3641)(613,3640)(614,3639)(615,3638)(616,3637)(617,3636)(618,3635)(619,3634)(620,3633)(621,3632)(622,3631)(623,3630)(624,3629)(625,3628)(626,3627)(627,3626)(628,3625)(629,3624)(630,3623)(631,3622)(632,3621)(633,3620)(634,3619)(635,3618)(636,3617)(637,3616)(638,3615)(639,3614)(640,3613)(641,3612)(642,3611)(643,3610)(644,3609)(645,3608)(646,3607)(647,3606)(648,3605)(649,3604)(650,3603)(651,3602)(652,3601)(653,3600)(654,3599)(655,3598)(656,3597)(657,3596)(658,3595)(659,3594)(660,3593)(661,3592)(662,3591)(663,3590)(664,3589)(665,3588)(666,3587)(667,3586)(668,3585)(669,3584)(670,3583)(671,3582)(672,3581)(673,3580)(674,3579)(675,3578)(676,3577)(677,3576)(678,3575)(679,3574)(680,3573)(681,3572)(682,3571)(683,3570)(684,3569)(685,3568)(686,3567)(687,3566)(688,3565)(689,3564)(690,3563)(691,3562)(692,3561)(693,3560)(694,3559)(695,3558)(696,3557)(697,3556)(698,3555)(699,3554)(700,3553)(701,3552)(702,3551)(703,3550)(704,3549)(705,3548)(706,3547)(707,3546)(708,3545)(709,3544)(710,3543)(711,3542)(712,3541)(713,3540)(714,3539)(715,3538)(716,3537)(717,3536)(718,3535)(719,3534)(720,3533)(721,3532)(722,3531)(723,3530)(724,3529)(725,3528)(726,3527)(727,3526)(728,3525)(729,3524)(730,3523)(731,3522)(732,3521)(733,3520)(734,3519)(735,3518)(736,3517)(737,3516)(738,3515)(739,3514)(740,3513)(741,3512)(742,3511)(743,3510)(744,3509)(745,3508)(746,3507)(747,3506)(748,3505)(749,3504)(750,3503)(751,3502)(752,3501)(753,3500)(754,3499)(755,3498)(756,3497)(757,3496)(758,3495)(759,3494)(760,3493)(761,3492)(762,3491)(763,3490)(764,3489)(765,3488)(766,3487)(767,3486)(768,3485)(769,3484)(770,3483)(771,3482)(772,3481)(773,3480)(774,3479)(775,3478)(776,3477)(777,3476)(778,3475)(779,3474)(780,3473)(781,3472)(782,3471)(783,3470)(784,3469)(785,3468)(786,3467)(787,3466)(788,3465)(789,3464)(790,3463)(791,3462)(792,3461)(793,3460)(794,3459)(795,3458)(796,3457)(797,3456)(798,3455)(799,3454)(800,3453)(801,3452)(802,3451)(803,3450)(804,3449)(805,3448)(806,3447)(807,3446)(808,3445)(809,3444)(810,3443)(811,3442)(812,3441)(813,3440)(814,3439)(815,3438)(816,3437)(817,3436)(818,3435)(819,3434)(820,3433)(821,3432)(822,3431)(823,3430)(824,3429)(825,3428)(826,3427)(827,3426)(828,3425)(829,3424)(830,3423)(831,3422)(832,3421)(833,3420)(834,3419)(835,3418)(836,3417)(837,3416)(838,3415)(839,3414)(840,3413)(841,3412)(842,3411)(843,3410)(844,3409)(845,3408)(846,3407)(847,3406)(848,3405)(849,3404)(850,3403)(851,3402)(852,3401)(853,3400)(854,3399)(855,3398)(856,3397)(857,3396)(858,3395)(859,3394)(860,3393)(861,3392)(862,3391)(863,3390)(864,3389)(865,3388)(866,3387)(867,3386)(868,3385)(869,3384)(870,3383)(871,3382)(872,3381)(873,3380)(874,3379)(875,3378)(876,3377)(877,3376)(878,3375)(879,3374)(880,3373)(881,3372)(882,3371)(883,3370)(884,3369)(885,3368)(886,3367)(887,3366)(888,3365)(889,3364)(890,3363)(891,3362)(892,3361)(893,3360)(894,3359)(895,3358)(896,3357)(897,3356)(898,3355)(899,3354)(900,3353)(901,3352)(902,3351)(903,3350)(904,3349)(905,3348)(906,3347)(907,3346)(908,3345)(909,3344)(910,3343)(911,3342)(912,3341)(913,3340)(914,3339)(915,3338)(916,3337)(917,3336)(918,3335)(919,3334)(920,3333)(921,3332)(922,3331)(923,3330)(924,3329)(925,3328)(926,3327)(927,3326)(928,3325)(929,3324)(930,3323)(931,3322)(932,3321)(933,3320)(934,3319)(935,3318)(936,3317)(937,3316)(938,3315)(939,3314)(940,3313)(941,3312)(942,3311)(943,3310)(944,3309)(945,3308)(946,3307)(947,3306)(948,3305)(949,3304)(950,3303)(951,3302)(952,3301)(953,3300)(954,3299)(955,3298)(956,3297)(957,3296)(958,3295)(959,3294)(960,3293)(961,3292)(962,3291)(963,3290)(964,3289)(965,3288)(966,3287)(967,3286)(968,3285)(969,3284)(970,3283)(971,3282)(972,3281)(973,3280)(974,3279)(975,3278)(976,3277)(977,3276)(978,3275)(979,3274)(980,3273)(981,3272)(982,3271)(983,3270)(984,3269)(985,3268)(986,3267)(987,3266)(988,3265)(989,3264)(990,3263)(991,3262)(992,3261)(993,3260)(994,3259)(995,3258)(996,3257)(997,3256)(998,3255)(999,3254)(1000,3253)(1001,3252)(1002,3251)(1003,3250)(1004,3249)(1005,3248)(1006,3247)(1007,3246)(1008,3245)(1009,3244)(1010,3243)(1011,3242)(1012,3241)(1013,3240)(1014,3239)(1015,3238)(1016,3237)(1017,3236)(1018,3235)(1019,3234)(1020,3233)(1021,3232)(1022,3231)(1023,3230)(1024,3229)(1025,3228)(1026,3227)(1027,3226)(1028,3225)(1029,3224)(1030,3223)(1031,3222)(1032,3221)(1033,3220)(1034,3219)(1035,3218)(1036,3217)(1037,3216)(1038,3215)(1039,3214)(1040,3213)(1041,3212)(1042,3211)(1043,3210)(1044,3209)(1045,3208)(1046,3207)(1047,3206)(1048,3205)(1049,3204)(1050,3203)(1051,3202)(1052,3201)(1053,3200)(1054,3199)(1055,3198)(1056,3197)(1057,3196)(1058,3195)(1059,3194)(1060,3193)(1061,3192)(1062,3191)(1063,3190)(1064,3189)(1065,3188)(1066,3187)(1067,3186)(1068,3185)(1069,3184)(1070,3183)(1071,3182)(1072,3181)(1073,3180)(1074,3179)(1075,3178)(1076,3177)(1077,3176)(1078,3175)(1079,3174)(1080,3173)(1081,3172)(1082,3171)(1083,3170)(1084,3169)(1085,3168)(1086,3167)(1087,3166)(1088,3165)(1089,3164)(1090,3163)(1091,3162)(1092,3161)(1093,3160)(1094,3159)(1095,3158)(1096,3157)(1097,3156)(1098,3155)(1099,3154)(1100,3153)(1101,3152)(1102,3151)(1103,3150)(1104,3149)(1105,3148)(1106,3147)(1107,3146)(1108,3145)(1109,3144)(1110,3143)(1111,3142)(1112,3141)(1113,3140)(1114,3139)(1115,3138)(1116,3137)(1117,3136)(1118,3135)(1119,3134)(1120,3133)(1121,3132)(1122,3131)(1123,3130)(1124,3129)(1125,3128)(1126,3127)(1127,3126)(1128,3125)(1129,3124)(1130,3123)(1131,3122)(1132,3121)(1133,3120)(1134,3119)(1135,3118)(1136,3117)(1137,3116)(1138,3115)(1139,3114)(1140,3113)(1141,3112)(1142,3111)(1143,3110)(1144,3109)(1145,3108)(1146,3107)(1147,3106)(1148,3105)(1149,3104)(1150,3103)(1151,3102)(1152,3101)(1153,3100)(1154,3099)(1155,3098)(1156,3097)(1157,3096)(1158,3095)(1159,3094)(1160,3093)(1161,3092)(1162,3091)(1163,3090)(1164,3089)(1165,3088)(1166,3087)(1167,3086)(1168,3085)(1169,3084)(1170,3083)(1171,3082)(1172,3081)(1173,3080)(1174,3079)(1175,3078)(1176,3077)(1177,3076)(1178,3075)(1179,3074)(1180,3073)(1181,3072)(1182,3071)(1183,3070)(1184,3069)(1185,3068)(1186,3067)(1187,3066)(1188,3065)(1189,3064)(1190,3063)(1191,3062)(1192,3061)(1193,3060)(1194,3059)(1195,3058)(1196,3057)(1197,3056)(1198,3055)(1199,3054)(1200,3053)(1201,3052)(1202,3051)(1203,3050)(1204,3049)(1205,3048)(1206,3047)(1207,3046)(1208,3045)(1209,3044)(1210,3043)(1211,3042)(1212,3041)(1213,3040)(1214,3039)(1215,3038)(1216,3037)(1217,3036)(1218,3035)(1219,3034)(1220,3033)(1221,3032)(1222,3031)(1223,3030)(1224,3029)(1225,3028)(1226,3027)(1227,3026)(1228,3025)(1229,3024)(1230,3023)(1231,3022)(1232,3021)(1233,3020)(1234,3019)(1235,3018)(1236,3017)(1237,3016)(1238,3015)(1239,3014)(1240,3013)(1241,3012)(1242,3011)(1243,3010)(1244,3009)(1245,3008)(1246,3007)(1247,3006)(1248,3005)(1249,3004)(1250,3003)(1251,3002)(1252,3001)(1253,3000)(1254,2999)(1255,2998)(1256,2997)(1257,2996)(1258,2995)(1259,2994)(1260,2993)(1261,2992)(1262,2991)(1263,2990)(1264,2989)(1265,2988)(1266,2987)(1267,2986)(1268,2985)(1269,2984)(1270,2983)(1271,2982)(1272,2981)(1273,2980)(1274,2979)(1275,2978)(1276,2977)(1277,2976)(1278,2975)(1279,2974)(1280,2973)(1281,2972)(1282,2971)(1283,2970)(1284,2969)(1285,2968)(1286,2967)(1287,2966)(1288,2965)(1289,2964)(1290,2963)(1291,2962)(1292,2961)(1293,2960)(1294,2959)(1295,2958)(1296,2957)(1297,2956)(1298,2955)(1299,2954)(1300,2953)(1301,2952)(1302,2951)(1303,2950)(1304,2949)(1305,2948)(1306,2947)(1307,2946)(1308,2945)(1309,2944)(1310,2943)(1311,2942)(1312,2941)(1313,2940)(1314,2939)(1315,2938)(1316,2937)(1317,2936)(1318,2935)(1319,2934)(1320,2933)(1321,2932)(1322,2931)(1323,2930)(1324,2929)(1325,2928)(1326,2927)(1327,2926)(1328,2925)(1329,2924)(1330,2923)(1331,2922)(1332,2921)(1333,2920)(1334,2919)(1335,2918)(1336,2917)(1337,2916)(1338,2915)(1339,2914)(1340,2913)(1341,2912)(1342,2911)(1343,2910)(1344,2909)(1345,2908)(1346,2907)(1347,2906)(1348,2905)(1349,2904)(1350,2903)(1351,2902)(1352,2901)(1353,2900)(1354,2899)(1355,2898)(1356,2897)(1357,2896)(1358,2895)(1359,2894)(1360,2893)(1361,2892)(1362,2891)(1363,2890)(1364,2889)(1365,2888)(1366,2887)(1367,2886)(1368,2885)(1369,2884)(1370,2883)(1371,2882)(1372,2881)(1373,2880)(1374,2879)(1375,2878)(1376,2877)(1377,2876)(1378,2875)(1379,2874)(1380,2873)(1381,2872)(1382,2871)(1383,2870)(1384,2869)(1385,2868)(1386,2867)(1387,2866)(1388,2865)(1389,2864)(1390,2863)(1391,2862)(1392,2861)(1393,2860)(1394,2859)(1395,2858)(1396,2857)(1397,2856)(1398,2855)(1399,2854)(1400,2853)(1401,2852)(1402,2851)(1403,2850)(1404,2849)(1405,2848)(1406,2847)(1407,2846)(1408,2845)(1409,2844)(1410,2843)(1411,2842)(1412,2841)(1413,2840)(1414,2839)(1415,2838)(1416,2837)(1417,2836)(1418,2835)(1419,2834)(1420,2833)(1421,2832)(1422,2831)(1423,2830)(1424,2829)(1425,2828)(1426,2827)(1427,2826)(1428,2825)(1429,2824)(1430,2823)(1431,2822)(1432,2821)(1433,2820)(1434,2819)(1435,2818)(1436,2817)(1437,2816)(1438,2815)(1439,2814)(1440,2813)(1441,2812)(1442,2811)(1443,2810)(1444,2809)(1445,2808)(1446,2807)(1447,2806)(1448,2805)(1449,2804)(1450,2803)(1451,2802)(1452,2801)(1453,2800)(1454,2799)(1455,2798)(1456,2797)(1457,2796)(1458,2795)(1459,2794)(1460,2793)(1461,2792)(1462,2791)(1463,2790)(1464,2789)(1465,2788)(1466,2787)(1467,2786)(1468,2785)(1469,2784)(1470,2783)(1471,2782)(1472,2781)(1473,2780)(1474,2779)(1475,2778)(1476,2777)(1477,2776)(1478,2775)(1479,2774)(1480,2773)(1481,2772)(1482,2771)(1483,2770)(1484,2769)(1485,2768)(1486,2767)(1487,2766)(1488,2765)(1489,2764)(1490,2763)(1491,2762)(1492,2761)(1493,2760)(1494,2759)(1495,2758)(1496,2757)(1497,2756)(1498,2755)(1499,2754)(1500,2753)(1501,2752)(1502,2751)(1503,2750)(1504,2749)(1505,2748)(1506,2747)(1507,2746)(1508,2745)(1509,2744)(1510,2743)(1511,2742)(1512,2741)(1513,2740)(1514,2739)(1515,2738)(1516,2737)(1517,2736)(1518,2735)(1519,2734)(1520,2733)(1521,2732)(1522,2731)(1523,2730)(1524,2729)(1525,2728)(1526,2727)(1527,2726)(1528,2725)(1529,2724)(1530,2723)(1531,2722)(1532,2721)(1533,2720)(1534,2719)(1535,2718)(1536,2717)(1537,2716)(1538,2715)(1539,2714)(1540,2713)(1541,2712)(1542,2711)(1543,2710)(1544,2709)(1545,2708)(1546,2707)(1547,2706)(1548,2705)(1549,2704)(1550,2703)(1551,2702)(1552,2701)(1553,2700)(1554,2699)(1555,2698)(1556,2697)(1557,2696)(1558,2695)(1559,2694)(1560,2693)(1561,2692)(1562,2691)(1563,2690)(1564,2689)(1565,2688)(1566,2687)(1567,2686)(1568,2685)(1569,2684)(1570,2683)(1571,2682)(1572,2681)(1573,2680)(1574,2679)(1575,2678)(1576,2677)(1577,2676)(1578,2675)(1579,2674)(1580,2673)(1581,2672)(1582,2671)(1583,2670)(1584,2669)(1585,2668)(1586,2667)(1587,2666)(1588,2665)(1589,2664)(1590,2663)(1591,2662)(1592,2661)(1593,2660)(1594,2659)(1595,2658)(1596,2657)(1597,2656)(1598,2655)(1599,2654)(1600,2653)(1601,2652)(1602,2651)(1603,2650)(1604,2649)(1605,2648)(1606,2647)(1607,2646)(1608,2645)(1609,2644)(1610,2643)(1611,2642)(1612,2641)(1613,2640)(1614,2639)(1615,2638)(1616,2637)(1617,2636)(1618,2635)(1619,2634)(1620,2633)(1621,2632)(1622,2631)(1623,2630)(1624,2629)(1625,2628)(1626,2627)(1627,2626)(1628,2625)(1629,2624)(1630,2623)(1631,2622)(1632,2621)(1633,2620)(1634,2619)(1635,2618)(1636,2617)(1637,2616)(1638,2615)(1639,2614)(1640,2613)(1641,2612)(1642,2611)(1643,2610)(1644,2609)(1645,2608)(1646,2607)(1647,2606)(1648,2605)(1649,2604)(1650,2603)(1651,2602)(1652,2601)(1653,2600)(1654,2599)(1655,2598)(1656,2597)(1657,2596)(1658,2595)(1659,2594)(1660,2593)(1661,2592)(1662,2591)(1663,2590)(1664,2589)(1665,2588)(1666,2587)(1667,2586)(1668,2585)(1669,2584)(1670,2583)(1671,2582)(1672,2581)(1673,2580)(1674,2579)(1675,2578)(1676,2577)(1677,2576)(1678,2575)(1679,2574)(1680,2573)(1681,2572)(1682,2571)(1683,2570)(1684,2569)(1685,2568)(1686,2567)(1687,2566)(1688,2565)(1689,2564)(1690,2563)(1691,2562)(1692,2561)(1693,2560)(1694,2559)(1695,2558)(1696,2557)(1697,2556)(1698,2555)(1699,2554)(1700,2553)(1701,2552)(1702,2551)(1703,2550)(1704,2549)(1705,2548)(1706,2547)(1707,2546)(1708,2545)(1709,2544)(1710,2543)(1711,2542)(1712,2541)(1713,2540)(1714,2539)(1715,2538)(1716,2537)(1717,2536)(1718,2535)(1719,2534)(1720,2533)(1721,2532)(1722,2531)(1723,2530)(1724,2529)(1725,2528)(1726,2527)(1727,2526)(1728,2525)(1729,2524)(1730,2523)(1731,2522)(1732,2521)(1733,2520)(1734,2519)(1735,2518)(1736,2517)(1737,2516)(1738,2515)(1739,2514)(1740,2513)(1741,2512)(1742,2511)(1743,2510)(1744,2509)(1745,2508)(1746,2507)(1747,2506)(1748,2505)(1749,2504)(1750,2503)(1751,2502)(1752,2501)(1753,2500)(1754,2499)(1755,2498)(1756,2497)(1757,2496)(1758,2495)(1759,2494)(1760,2493)(1761,2492)(1762,2491)(1763,2490)(1764,2489)(1765,2488)(1766,2487)(1767,2486)(1768,2485)(1769,2484)(1770,2483)(1771,2482)(1772,2481)(1773,2480)(1774,2479)(1775,2478)(1776,2477)(1777,2476)(1778,2475)(1779,2474)(1780,2473)(1781,2472)(1782,2471)(1783,2470)(1784,2469)(1785,2468)(1786,2467)(1787,2466)(1788,2465)(1789,2464)(1790,2463)(1791,2462)(1792,2461)(1793,2460)(1794,2459)(1795,2458)(1796,2457)(1797,2456)(1798,2455)(1799,2454)(1800,2453)(1801,2452)(1802,2451)(1803,2450)(1804,2449)(1805,2448)(1806,2447)(1807,2446)(1808,2445)(1809,2444)(1810,2443)(1811,2442)(1812,2441)(1813,2440)(1814,2439)(1815,2438)(1816,2437)(1817,2436)(1818,2435)(1819,2434)(1820,2433)(1821,2432)(1822,2431)(1823,2430)(1824,2429)(1825,2428)(1826,2427)(1827,2426)(1828,2425)(1829,2424)(1830,2423)(1831,2422)(1832,2421)(1833,2420)(1834,2419)(1835,2418)(1836,2417)(1837,2416)(1838,2415)(1839,2414)(1840,2413)(1841,2412)(1842,2411)(1843,2410)(1844,2409)(1845,2408)(1846,2407)(1847,2406)(1848,2405)(1849,2404)(1850,2403)(1851,2402)(1852,2401)(1853,2400)(1854,2399)(1855,2398)(1856,2397)(1857,2396)(1858,2395)(1859,2394)(1860,2393)(1861,2392)(1862,2391)(1863,2390)(1864,2389)(1865,2388)(1866,2387)(1867,2386)(1868,2385)(1869,2384)(1870,2383)(1871,2382)(1872,2381)(1873,2380)(1874,2379)(1875,2378)(1876,2377)(1877,2376)(1878,2375)(1879,2374)(1880,2373)(1881,2372)(1882,2371)(1883,2370)(1884,2369)(1885,2368)(1886,2367)(1887,2366)(1888,2365)(1889,2364)(1890,2363)(1891,2362)(1892,2361)(1893,2360)(1894,2359)(1895,2358)(1896,2357)(1897,2356)(1898,2355)(1899,2354)(1900,2353)(1901,2352)(1902,2351)(1903,2350)(1904,2349)(1905,2348)(1906,2347)(1907,2346)(1908,2345)(1909,2344)(1910,2343)(1911,2342)(1912,2341)(1913,2340)(1914,2339)(1915,2338)(1916,2337)(1917,2336)(1918,2335)(1919,2334)(1920,2333)(1921,2332)(1922,2331)(1923,2330)(1924,2329)(1925,2328)(1926,2327)(1927,2326)(1928,2325)(1929,2324)(1930,2323)(1931,2322)(1932,2321)(1933,2320)(1934,2319)(1935,2318)(1936,2317)(1937,2316)(1938,2315)(1939,2314)(1940,2313)(1941,2312)(1942,2311)(1943,2310)(1944,2309)(1945,2308)(1946,2307)(1947,2306)(1948,2305)(1949,2304)(1950,2303)(1951,2302)(1952,2301)(1953,2300)(1954,2299)(1955,2298)(1956,2297)(1957,2296)(1958,2295)(1959,2294)(1960,2293)(1961,2292)(1962,2291)(1963,2290)(1964,2289)(1965,2288)(1966,2287)(1967,2286)(1968,2285)(1969,2284)(1970,2283)(1971,2282)(1972,2281)(1973,2280)(1974,2279)(1975,2278)(1976,2277)(1977,2276)(1978,2275)(1979,2274)(1980,2273)(1981,2272)(1982,2271)(1983,2270)(1984,2269)(1985,2268)(1986,2267)(1987,2266)(1988,2265)(1989,2264)(1990,2263)(1991,2262)(1992,2261)(1993,2260)(1994,2259)(1995,2258)(1996,2257)(1997,2256)(1998,2255)(1999,2254)(2000,2253)(2001,2252)(2002,2251)(2003,2250)(2004,2249)(2005,2248)(2006,2247)(2007,2246)(2008,2245)(2009,2244)(2010,2243)(2011,2242)(2012,2241)(2013,2240)(2014,2239)(2015,2238)(2016,2237)(2017,2236)(2018,2235)(2019,2234)(2020,2233)(2021,2232)(2022,2231)(2023,2230)(2024,2229)(2025,2228)(2026,2227)(2027,2226)(2028,2225)(2029,2224)(2030,2223)(2031,2222)(2032,2221)(2033,2220)(2034,2219)(2035,2218)(2036,2217)(2037,2216)(2038,2215)(2039,2214)(2040,2213)(2041,2212)(2042,2211)(2043,2210)(2044,2209)(2045,2208)(2046,2207)(2047,2206)(2048,2205)(2049,2204)(2050,2203)(2051,2202)(2052,2201)(2053,2200)(2054,2199)(2055,2198)(2056,2197)(2057,2196)(2058,2195)(2059,2194)(2060,2193)(2061,2192)(2062,2191)(2063,2190)(2064,2189)(2065,2188)(2066,2187)(2067,2186)(2068,2185)(2069,2184)(2070,2183)(2071,2182)(2072,2181)(2073,2180)(2074,2179)(2075,2178)(2076,2177)(2077,2176)(2078,2175)(2079,2174)(2080,2173)(2081,2172)(2082,2171)(2083,2170)(2084,2169)(2085,2168)(2086,2167)(2087,2166)(2088,2165)(2089,2164)(2090,2163)(2091,2162)(2092,2161)(2093,2160)(2094,2159)(2095,2158)(2096,2157)(2097,2156)(2098,2155)(2099,2154)(2100,2153)(2101,2152)(2102,2151)(2103,2150)(2104,2149)(2105,2148)(2106,2147)(2107,2146)(2108,2145)(2109,2144)(2110,2143)(2111,2142)(2112,2141)(2113,2140)(2114,2139)(2115,2138)(2116,2137)(2117,2136)(2118,2135)(2119,2134)(2120,2133)(2121,2132)(2122,2131)(2123,2130)(2124,2129)(2125,2128)(2126,2127)Polycyclic presentation:
2^3,4243|b^a=bc,d^a=d^4242,d^b=d^42428489 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33944, 10);