Finite Group DatabasebetaFinite Group Databasebeta| order | 29816 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C2 |
| dihedral | D14908 |
| unambiguous semidirect product | C4⋊D3727 |
| Fitting | C4×C3727 ⋊ C2 |
| Sylow | C3727 ⋊ D4 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C2 | C2×D3727 |
| commutator, socle, cosocle | C2×C3727 | C22 |
| Fitting | C4×C3727 | C2 |
| hypercenter | C4 | D3727 |
| hypocenter | C3727 | D4 |
| LCS | G ▷ C2×C3727 ▷ C3727 | |
| UCS | C1 ◁ C2 ◁ C4 | |
16 conjugacy classes of subgroups.
| minimal degree | μ(G) = 3731 |
| transitive degree | μt(G) = 14908 |
A minimal faithful permutation representation — 2 generators on 3731 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);(2,4)(6,3731)(7,3730)(8,3729)(9,3728)(10,3727)(11,3726)(12,3725)(13,3724)(14,3723)(15,3722)(16,3721)(17,3720)(18,3719)(19,3718)(20,3717)(21,3716)(22,3715)(23,3714)(24,3713)(25,3712)(26,3711)(27,3710)(28,3709)(29,3708)(30,3707)(31,3706)(32,3705)(33,3704)(34,3703)(35,3702)(36,3701)(37,3700)(38,3699)(39,3698)(40,3697)(41,3696)(42,3695)(43,3694)(44,3693)(45,3692)(46,3691)(47,3690)(48,3689)(49,3688)(50,3687)(51,3686)(52,3685)(53,3684)(54,3683)(55,3682)(56,3681)(57,3680)(58,3679)(59,3678)(60,3677)(61,3676)(62,3675)(63,3674)(64,3673)(65,3672)(66,3671)(67,3670)(68,3669)(69,3668)(70,3667)(71,3666)(72,3665)(73,3664)(74,3663)(75,3662)(76,3661)(77,3660)(78,3659)(79,3658)(80,3657)(81,3656)(82,3655)(83,3654)(84,3653)(85,3652)(86,3651)(87,3650)(88,3649)(89,3648)(90,3647)(91,3646)(92,3645)(93,3644)(94,3643)(95,3642)(96,3641)(97,3640)(98,3639)(99,3638)(100,3637)(101,3636)(102,3635)(103,3634)(104,3633)(105,3632)(106,3631)(107,3630)(108,3629)(109,3628)(110,3627)(111,3626)(112,3625)(113,3624)(114,3623)(115,3622)(116,3621)(117,3620)(118,3619)(119,3618)(120,3617)(121,3616)(122,3615)(123,3614)(124,3613)(125,3612)(126,3611)(127,3610)(128,3609)(129,3608)(130,3607)(131,3606)(132,3605)(133,3604)(134,3603)(135,3602)(136,3601)(137,3600)(138,3599)(139,3598)(140,3597)(141,3596)(142,3595)(143,3594)(144,3593)(145,3592)(146,3591)(147,3590)(148,3589)(149,3588)(150,3587)(151,3586)(152,3585)(153,3584)(154,3583)(155,3582)(156,3581)(157,3580)(158,3579)(159,3578)(160,3577)(161,3576)(162,3575)(163,3574)(164,3573)(165,3572)(166,3571)(167,3570)(168,3569)(169,3568)(170,3567)(171,3566)(172,3565)(173,3564)(174,3563)(175,3562)(176,3561)(177,3560)(178,3559)(179,3558)(180,3557)(181,3556)(182,3555)(183,3554)(184,3553)(185,3552)(186,3551)(187,3550)(188,3549)(189,3548)(190,3547)(191,3546)(192,3545)(193,3544)(194,3543)(195,3542)(196,3541)(197,3540)(198,3539)(199,3538)(200,3537)(201,3536)(202,3535)(203,3534)(204,3533)(205,3532)(206,3531)(207,3530)(208,3529)(209,3528)(210,3527)(211,3526)(212,3525)(213,3524)(214,3523)(215,3522)(216,3521)(217,3520)(218,3519)(219,3518)(220,3517)(221,3516)(222,3515)(223,3514)(224,3513)(225,3512)(226,3511)(227,3510)(228,3509)(229,3508)(230,3507)(231,3506)(232,3505)(233,3504)(234,3503)(235,3502)(236,3501)(237,3500)(238,3499)(239,3498)(240,3497)(241,3496)(242,3495)(243,3494)(244,3493)(245,3492)(246,3491)(247,3490)(248,3489)(249,3488)(250,3487)(251,3486)(252,3485)(253,3484)(254,3483)(255,3482)(256,3481)(257,3480)(258,3479)(259,3478)(260,3477)(261,3476)(262,3475)(263,3474)(264,3473)(265,3472)(266,3471)(267,3470)(268,3469)(269,3468)(270,3467)(271,3466)(272,3465)(273,3464)(274,3463)(275,3462)(276,3461)(277,3460)(278,3459)(279,3458)(280,3457)(281,3456)(282,3455)(283,3454)(284,3453)(285,3452)(286,3451)(287,3450)(288,3449)(289,3448)(290,3447)(291,3446)(292,3445)(293,3444)(294,3443)(295,3442)(296,3441)(297,3440)(298,3439)(299,3438)(300,3437)(301,3436)(302,3435)(303,3434)(304,3433)(305,3432)(306,3431)(307,3430)(308,3429)(309,3428)(310,3427)(311,3426)(312,3425)(313,3424)(314,3423)(315,3422)(316,3421)(317,3420)(318,3419)(319,3418)(320,3417)(321,3416)(322,3415)(323,3414)(324,3413)(325,3412)(326,3411)(327,3410)(328,3409)(329,3408)(330,3407)(331,3406)(332,3405)(333,3404)(334,3403)(335,3402)(336,3401)(337,3400)(338,3399)(339,3398)(340,3397)(341,3396)(342,3395)(343,3394)(344,3393)(345,3392)(346,3391)(347,3390)(348,3389)(349,3388)(350,3387)(351,3386)(352,3385)(353,3384)(354,3383)(355,3382)(356,3381)(357,3380)(358,3379)(359,3378)(360,3377)(361,3376)(362,3375)(363,3374)(364,3373)(365,3372)(366,3371)(367,3370)(368,3369)(369,3368)(370,3367)(371,3366)(372,3365)(373,3364)(374,3363)(375,3362)(376,3361)(377,3360)(378,3359)(379,3358)(380,3357)(381,3356)(382,3355)(383,3354)(384,3353)(385,3352)(386,3351)(387,3350)(388,3349)(389,3348)(390,3347)(391,3346)(392,3345)(393,3344)(394,3343)(395,3342)(396,3341)(397,3340)(398,3339)(399,3338)(400,3337)(401,3336)(402,3335)(403,3334)(404,3333)(405,3332)(406,3331)(407,3330)(408,3329)(409,3328)(410,3327)(411,3326)(412,3325)(413,3324)(414,3323)(415,3322)(416,3321)(417,3320)(418,3319)(419,3318)(420,3317)(421,3316)(422,3315)(423,3314)(424,3313)(425,3312)(426,3311)(427,3310)(428,3309)(429,3308)(430,3307)(431,3306)(432,3305)(433,3304)(434,3303)(435,3302)(436,3301)(437,3300)(438,3299)(439,3298)(440,3297)(441,3296)(442,3295)(443,3294)(444,3293)(445,3292)(446,3291)(447,3290)(448,3289)(449,3288)(450,3287)(451,3286)(452,3285)(453,3284)(454,3283)(455,3282)(456,3281)(457,3280)(458,3279)(459,3278)(460,3277)(461,3276)(462,3275)(463,3274)(464,3273)(465,3272)(466,3271)(467,3270)(468,3269)(469,3268)(470,3267)(471,3266)(472,3265)(473,3264)(474,3263)(475,3262)(476,3261)(477,3260)(478,3259)(479,3258)(480,3257)(481,3256)(482,3255)(483,3254)(484,3253)(485,3252)(486,3251)(487,3250)(488,3249)(489,3248)(490,3247)(491,3246)(492,3245)(493,3244)(494,3243)(495,3242)(496,3241)(497,3240)(498,3239)(499,3238)(500,3237)(501,3236)(502,3235)(503,3234)(504,3233)(505,3232)(506,3231)(507,3230)(508,3229)(509,3228)(510,3227)(511,3226)(512,3225)(513,3224)(514,3223)(515,3222)(516,3221)(517,3220)(518,3219)(519,3218)(520,3217)(521,3216)(522,3215)(523,3214)(524,3213)(525,3212)(526,3211)(527,3210)(528,3209)(529,3208)(530,3207)(531,3206)(532,3205)(533,3204)(534,3203)(535,3202)(536,3201)(537,3200)(538,3199)(539,3198)(540,3197)(541,3196)(542,3195)(543,3194)(544,3193)(545,3192)(546,3191)(547,3190)(548,3189)(549,3188)(550,3187)(551,3186)(552,3185)(553,3184)(554,3183)(555,3182)(556,3181)(557,3180)(558,3179)(559,3178)(560,3177)(561,3176)(562,3175)(563,3174)(564,3173)(565,3172)(566,3171)(567,3170)(568,3169)(569,3168)(570,3167)(571,3166)(572,3165)(573,3164)(574,3163)(575,3162)(576,3161)(577,3160)(578,3159)(579,3158)(580,3157)(581,3156)(582,3155)(583,3154)(584,3153)(585,3152)(586,3151)(587,3150)(588,3149)(589,3148)(590,3147)(591,3146)(592,3145)(593,3144)(594,3143)(595,3142)(596,3141)(597,3140)(598,3139)(599,3138)(600,3137)(601,3136)(602,3135)(603,3134)(604,3133)(605,3132)(606,3131)(607,3130)(608,3129)(609,3128)(610,3127)(611,3126)(612,3125)(613,3124)(614,3123)(615,3122)(616,3121)(617,3120)(618,3119)(619,3118)(620,3117)(621,3116)(622,3115)(623,3114)(624,3113)(625,3112)(626,3111)(627,3110)(628,3109)(629,3108)(630,3107)(631,3106)(632,3105)(633,3104)(634,3103)(635,3102)(636,3101)(637,3100)(638,3099)(639,3098)(640,3097)(641,3096)(642,3095)(643,3094)(644,3093)(645,3092)(646,3091)(647,3090)(648,3089)(649,3088)(650,3087)(651,3086)(652,3085)(653,3084)(654,3083)(655,3082)(656,3081)(657,3080)(658,3079)(659,3078)(660,3077)(661,3076)(662,3075)(663,3074)(664,3073)(665,3072)(666,3071)(667,3070)(668,3069)(669,3068)(670,3067)(671,3066)(672,3065)(673,3064)(674,3063)(675,3062)(676,3061)(677,3060)(678,3059)(679,3058)(680,3057)(681,3056)(682,3055)(683,3054)(684,3053)(685,3052)(686,3051)(687,3050)(688,3049)(689,3048)(690,3047)(691,3046)(692,3045)(693,3044)(694,3043)(695,3042)(696,3041)(697,3040)(698,3039)(699,3038)(700,3037)(701,3036)(702,3035)(703,3034)(704,3033)(705,3032)(706,3031)(707,3030)(708,3029)(709,3028)(710,3027)(711,3026)(712,3025)(713,3024)(714,3023)(715,3022)(716,3021)(717,3020)(718,3019)(719,3018)(720,3017)(721,3016)(722,3015)(723,3014)(724,3013)(725,3012)(726,3011)(727,3010)(728,3009)(729,3008)(730,3007)(731,3006)(732,3005)(733,3004)(734,3003)(735,3002)(736,3001)(737,3000)(738,2999)(739,2998)(740,2997)(741,2996)(742,2995)(743,2994)(744,2993)(745,2992)(746,2991)(747,2990)(748,2989)(749,2988)(750,2987)(751,2986)(752,2985)(753,2984)(754,2983)(755,2982)(756,2981)(757,2980)(758,2979)(759,2978)(760,2977)(761,2976)(762,2975)(763,2974)(764,2973)(765,2972)(766,2971)(767,2970)(768,2969)(769,2968)(770,2967)(771,2966)(772,2965)(773,2964)(774,2963)(775,2962)(776,2961)(777,2960)(778,2959)(779,2958)(780,2957)(781,2956)(782,2955)(783,2954)(784,2953)(785,2952)(786,2951)(787,2950)(788,2949)(789,2948)(790,2947)(791,2946)(792,2945)(793,2944)(794,2943)(795,2942)(796,2941)(797,2940)(798,2939)(799,2938)(800,2937)(801,2936)(802,2935)(803,2934)(804,2933)(805,2932)(806,2931)(807,2930)(808,2929)(809,2928)(810,2927)(811,2926)(812,2925)(813,2924)(814,2923)(815,2922)(816,2921)(817,2920)(818,2919)(819,2918)(820,2917)(821,2916)(822,2915)(823,2914)(824,2913)(825,2912)(826,2911)(827,2910)(828,2909)(829,2908)(830,2907)(831,2906)(832,2905)(833,2904)(834,2903)(835,2902)(836,2901)(837,2900)(838,2899)(839,2898)(840,2897)(841,2896)(842,2895)(843,2894)(844,2893)(845,2892)(846,2891)(847,2890)(848,2889)(849,2888)(850,2887)(851,2886)(852,2885)(853,2884)(854,2883)(855,2882)(856,2881)(857,2880)(858,2879)(859,2878)(860,2877)(861,2876)(862,2875)(863,2874)(864,2873)(865,2872)(866,2871)(867,2870)(868,2869)(869,2868)(870,2867)(871,2866)(872,2865)(873,2864)(874,2863)(875,2862)(876,2861)(877,2860)(878,2859)(879,2858)(880,2857)(881,2856)(882,2855)(883,2854)(884,2853)(885,2852)(886,2851)(887,2850)(888,2849)(889,2848)(890,2847)(891,2846)(892,2845)(893,2844)(894,2843)(895,2842)(896,2841)(897,2840)(898,2839)(899,2838)(900,2837)(901,2836)(902,2835)(903,2834)(904,2833)(905,2832)(906,2831)(907,2830)(908,2829)(909,2828)(910,2827)(911,2826)(912,2825)(913,2824)(914,2823)(915,2822)(916,2821)(917,2820)(918,2819)(919,2818)(920,2817)(921,2816)(922,2815)(923,2814)(924,2813)(925,2812)(926,2811)(927,2810)(928,2809)(929,2808)(930,2807)(931,2806)(932,2805)(933,2804)(934,2803)(935,2802)(936,2801)(937,2800)(938,2799)(939,2798)(940,2797)(941,2796)(942,2795)(943,2794)(944,2793)(945,2792)(946,2791)(947,2790)(948,2789)(949,2788)(950,2787)(951,2786)(952,2785)(953,2784)(954,2783)(955,2782)(956,2781)(957,2780)(958,2779)(959,2778)(960,2777)(961,2776)(962,2775)(963,2774)(964,2773)(965,2772)(966,2771)(967,2770)(968,2769)(969,2768)(970,2767)(971,2766)(972,2765)(973,2764)(974,2763)(975,2762)(976,2761)(977,2760)(978,2759)(979,2758)(980,2757)(981,2756)(982,2755)(983,2754)(984,2753)(985,2752)(986,2751)(987,2750)(988,2749)(989,2748)(990,2747)(991,2746)(992,2745)(993,2744)(994,2743)(995,2742)(996,2741)(997,2740)(998,2739)(999,2738)(1000,2737)(1001,2736)(1002,2735)(1003,2734)(1004,2733)(1005,2732)(1006,2731)(1007,2730)(1008,2729)(1009,2728)(1010,2727)(1011,2726)(1012,2725)(1013,2724)(1014,2723)(1015,2722)(1016,2721)(1017,2720)(1018,2719)(1019,2718)(1020,2717)(1021,2716)(1022,2715)(1023,2714)(1024,2713)(1025,2712)(1026,2711)(1027,2710)(1028,2709)(1029,2708)(1030,2707)(1031,2706)(1032,2705)(1033,2704)(1034,2703)(1035,2702)(1036,2701)(1037,2700)(1038,2699)(1039,2698)(1040,2697)(1041,2696)(1042,2695)(1043,2694)(1044,2693)(1045,2692)(1046,2691)(1047,2690)(1048,2689)(1049,2688)(1050,2687)(1051,2686)(1052,2685)(1053,2684)(1054,2683)(1055,2682)(1056,2681)(1057,2680)(1058,2679)(1059,2678)(1060,2677)(1061,2676)(1062,2675)(1063,2674)(1064,2673)(1065,2672)(1066,2671)(1067,2670)(1068,2669)(1069,2668)(1070,2667)(1071,2666)(1072,2665)(1073,2664)(1074,2663)(1075,2662)(1076,2661)(1077,2660)(1078,2659)(1079,2658)(1080,2657)(1081,2656)(1082,2655)(1083,2654)(1084,2653)(1085,2652)(1086,2651)(1087,2650)(1088,2649)(1089,2648)(1090,2647)(1091,2646)(1092,2645)(1093,2644)(1094,2643)(1095,2642)(1096,2641)(1097,2640)(1098,2639)(1099,2638)(1100,2637)(1101,2636)(1102,2635)(1103,2634)(1104,2633)(1105,2632)(1106,2631)(1107,2630)(1108,2629)(1109,2628)(1110,2627)(1111,2626)(1112,2625)(1113,2624)(1114,2623)(1115,2622)(1116,2621)(1117,2620)(1118,2619)(1119,2618)(1120,2617)(1121,2616)(1122,2615)(1123,2614)(1124,2613)(1125,2612)(1126,2611)(1127,2610)(1128,2609)(1129,2608)(1130,2607)(1131,2606)(1132,2605)(1133,2604)(1134,2603)(1135,2602)(1136,2601)(1137,2600)(1138,2599)(1139,2598)(1140,2597)(1141,2596)(1142,2595)(1143,2594)(1144,2593)(1145,2592)(1146,2591)(1147,2590)(1148,2589)(1149,2588)(1150,2587)(1151,2586)(1152,2585)(1153,2584)(1154,2583)(1155,2582)(1156,2581)(1157,2580)(1158,2579)(1159,2578)(1160,2577)(1161,2576)(1162,2575)(1163,2574)(1164,2573)(1165,2572)(1166,2571)(1167,2570)(1168,2569)(1169,2568)(1170,2567)(1171,2566)(1172,2565)(1173,2564)(1174,2563)(1175,2562)(1176,2561)(1177,2560)(1178,2559)(1179,2558)(1180,2557)(1181,2556)(1182,2555)(1183,2554)(1184,2553)(1185,2552)(1186,2551)(1187,2550)(1188,2549)(1189,2548)(1190,2547)(1191,2546)(1192,2545)(1193,2544)(1194,2543)(1195,2542)(1196,2541)(1197,2540)(1198,2539)(1199,2538)(1200,2537)(1201,2536)(1202,2535)(1203,2534)(1204,2533)(1205,2532)(1206,2531)(1207,2530)(1208,2529)(1209,2528)(1210,2527)(1211,2526)(1212,2525)(1213,2524)(1214,2523)(1215,2522)(1216,2521)(1217,2520)(1218,2519)(1219,2518)(1220,2517)(1221,2516)(1222,2515)(1223,2514)(1224,2513)(1225,2512)(1226,2511)(1227,2510)(1228,2509)(1229,2508)(1230,2507)(1231,2506)(1232,2505)(1233,2504)(1234,2503)(1235,2502)(1236,2501)(1237,2500)(1238,2499)(1239,2498)(1240,2497)(1241,2496)(1242,2495)(1243,2494)(1244,2493)(1245,2492)(1246,2491)(1247,2490)(1248,2489)(1249,2488)(1250,2487)(1251,2486)(1252,2485)(1253,2484)(1254,2483)(1255,2482)(1256,2481)(1257,2480)(1258,2479)(1259,2478)(1260,2477)(1261,2476)(1262,2475)(1263,2474)(1264,2473)(1265,2472)(1266,2471)(1267,2470)(1268,2469)(1269,2468)(1270,2467)(1271,2466)(1272,2465)(1273,2464)(1274,2463)(1275,2462)(1276,2461)(1277,2460)(1278,2459)(1279,2458)(1280,2457)(1281,2456)(1282,2455)(1283,2454)(1284,2453)(1285,2452)(1286,2451)(1287,2450)(1288,2449)(1289,2448)(1290,2447)(1291,2446)(1292,2445)(1293,2444)(1294,2443)(1295,2442)(1296,2441)(1297,2440)(1298,2439)(1299,2438)(1300,2437)(1301,2436)(1302,2435)(1303,2434)(1304,2433)(1305,2432)(1306,2431)(1307,2430)(1308,2429)(1309,2428)(1310,2427)(1311,2426)(1312,2425)(1313,2424)(1314,2423)(1315,2422)(1316,2421)(1317,2420)(1318,2419)(1319,2418)(1320,2417)(1321,2416)(1322,2415)(1323,2414)(1324,2413)(1325,2412)(1326,2411)(1327,2410)(1328,2409)(1329,2408)(1330,2407)(1331,2406)(1332,2405)(1333,2404)(1334,2403)(1335,2402)(1336,2401)(1337,2400)(1338,2399)(1339,2398)(1340,2397)(1341,2396)(1342,2395)(1343,2394)(1344,2393)(1345,2392)(1346,2391)(1347,2390)(1348,2389)(1349,2388)(1350,2387)(1351,2386)(1352,2385)(1353,2384)(1354,2383)(1355,2382)(1356,2381)(1357,2380)(1358,2379)(1359,2378)(1360,2377)(1361,2376)(1362,2375)(1363,2374)(1364,2373)(1365,2372)(1366,2371)(1367,2370)(1368,2369)(1369,2368)(1370,2367)(1371,2366)(1372,2365)(1373,2364)(1374,2363)(1375,2362)(1376,2361)(1377,2360)(1378,2359)(1379,2358)(1380,2357)(1381,2356)(1382,2355)(1383,2354)(1384,2353)(1385,2352)(1386,2351)(1387,2350)(1388,2349)(1389,2348)(1390,2347)(1391,2346)(1392,2345)(1393,2344)(1394,2343)(1395,2342)(1396,2341)(1397,2340)(1398,2339)(1399,2338)(1400,2337)(1401,2336)(1402,2335)(1403,2334)(1404,2333)(1405,2332)(1406,2331)(1407,2330)(1408,2329)(1409,2328)(1410,2327)(1411,2326)(1412,2325)(1413,2324)(1414,2323)(1415,2322)(1416,2321)(1417,2320)(1418,2319)(1419,2318)(1420,2317)(1421,2316)(1422,2315)(1423,2314)(1424,2313)(1425,2312)(1426,2311)(1427,2310)(1428,2309)(1429,2308)(1430,2307)(1431,2306)(1432,2305)(1433,2304)(1434,2303)(1435,2302)(1436,2301)(1437,2300)(1438,2299)(1439,2298)(1440,2297)(1441,2296)(1442,2295)(1443,2294)(1444,2293)(1445,2292)(1446,2291)(1447,2290)(1448,2289)(1449,2288)(1450,2287)(1451,2286)(1452,2285)(1453,2284)(1454,2283)(1455,2282)(1456,2281)(1457,2280)(1458,2279)(1459,2278)(1460,2277)(1461,2276)(1462,2275)(1463,2274)(1464,2273)(1465,2272)(1466,2271)(1467,2270)(1468,2269)(1469,2268)(1470,2267)(1471,2266)(1472,2265)(1473,2264)(1474,2263)(1475,2262)(1476,2261)(1477,2260)(1478,2259)(1479,2258)(1480,2257)(1481,2256)(1482,2255)(1483,2254)(1484,2253)(1485,2252)(1486,2251)(1487,2250)(1488,2249)(1489,2248)(1490,2247)(1491,2246)(1492,2245)(1493,2244)(1494,2243)(1495,2242)(1496,2241)(1497,2240)(1498,2239)(1499,2238)(1500,2237)(1501,2236)(1502,2235)(1503,2234)(1504,2233)(1505,2232)(1506,2231)(1507,2230)(1508,2229)(1509,2228)(1510,2227)(1511,2226)(1512,2225)(1513,2224)(1514,2223)(1515,2222)(1516,2221)(1517,2220)(1518,2219)(1519,2218)(1520,2217)(1521,2216)(1522,2215)(1523,2214)(1524,2213)(1525,2212)(1526,2211)(1527,2210)(1528,2209)(1529,2208)(1530,2207)(1531,2206)(1532,2205)(1533,2204)(1534,2203)(1535,2202)(1536,2201)(1537,2200)(1538,2199)(1539,2198)(1540,2197)(1541,2196)(1542,2195)(1543,2194)(1544,2193)(1545,2192)(1546,2191)(1547,2190)(1548,2189)(1549,2188)(1550,2187)(1551,2186)(1552,2185)(1553,2184)(1554,2183)(1555,2182)(1556,2181)(1557,2180)(1558,2179)(1559,2178)(1560,2177)(1561,2176)(1562,2175)(1563,2174)(1564,2173)(1565,2172)(1566,2171)(1567,2170)(1568,2169)(1569,2168)(1570,2167)(1571,2166)(1572,2165)(1573,2164)(1574,2163)(1575,2162)(1576,2161)(1577,2160)(1578,2159)(1579,2158)(1580,2157)(1581,2156)(1582,2155)(1583,2154)(1584,2153)(1585,2152)(1586,2151)(1587,2150)(1588,2149)(1589,2148)(1590,2147)(1591,2146)(1592,2145)(1593,2144)(1594,2143)(1595,2142)(1596,2141)(1597,2140)(1598,2139)(1599,2138)(1600,2137)(1601,2136)(1602,2135)(1603,2134)(1604,2133)(1605,2132)(1606,2131)(1607,2130)(1608,2129)(1609,2128)(1610,2127)(1611,2126)(1612,2125)(1613,2124)(1614,2123)(1615,2122)(1616,2121)(1617,2120)(1618,2119)(1619,2118)(1620,2117)(1621,2116)(1622,2115)(1623,2114)(1624,2113)(1625,2112)(1626,2111)(1627,2110)(1628,2109)(1629,2108)(1630,2107)(1631,2106)(1632,2105)(1633,2104)(1634,2103)(1635,2102)(1636,2101)(1637,2100)(1638,2099)(1639,2098)(1640,2097)(1641,2096)(1642,2095)(1643,2094)(1644,2093)(1645,2092)(1646,2091)(1647,2090)(1648,2089)(1649,2088)(1650,2087)(1651,2086)(1652,2085)(1653,2084)(1654,2083)(1655,2082)(1656,2081)(1657,2080)(1658,2079)(1659,2078)(1660,2077)(1661,2076)(1662,2075)(1663,2074)(1664,2073)(1665,2072)(1666,2071)(1667,2070)(1668,2069)(1669,2068)(1670,2067)(1671,2066)(1672,2065)(1673,2064)(1674,2063)(1675,2062)(1676,2061)(1677,2060)(1678,2059)(1679,2058)(1680,2057)(1681,2056)(1682,2055)(1683,2054)(1684,2053)(1685,2052)(1686,2051)(1687,2050)(1688,2049)(1689,2048)(1690,2047)(1691,2046)(1692,2045)(1693,2044)(1694,2043)(1695,2042)(1696,2041)(1697,2040)(1698,2039)(1699,2038)(1700,2037)(1701,2036)(1702,2035)(1703,2034)(1704,2033)(1705,2032)(1706,2031)(1707,2030)(1708,2029)(1709,2028)(1710,2027)(1711,2026)(1712,2025)(1713,2024)(1714,2023)(1715,2022)(1716,2021)(1717,2020)(1718,2019)(1719,2018)(1720,2017)(1721,2016)(1722,2015)(1723,2014)(1724,2013)(1725,2012)(1726,2011)(1727,2010)(1728,2009)(1729,2008)(1730,2007)(1731,2006)(1732,2005)(1733,2004)(1734,2003)(1735,2002)(1736,2001)(1737,2000)(1738,1999)(1739,1998)(1740,1997)(1741,1996)(1742,1995)(1743,1994)(1744,1993)(1745,1992)(1746,1991)(1747,1990)(1748,1989)(1749,1988)(1750,1987)(1751,1986)(1752,1985)(1753,1984)(1754,1983)(1755,1982)(1756,1981)(1757,1980)(1758,1979)(1759,1978)(1760,1977)(1761,1976)(1762,1975)(1763,1974)(1764,1973)(1765,1972)(1766,1971)(1767,1970)(1768,1969)(1769,1968)(1770,1967)(1771,1966)(1772,1965)(1773,1964)(1774,1963)(1775,1962)(1776,1961)(1777,1960)(1778,1959)(1779,1958)(1780,1957)(1781,1956)(1782,1955)(1783,1954)(1784,1953)(1785,1952)(1786,1951)(1787,1950)(1788,1949)(1789,1948)(1790,1947)(1791,1946)(1792,1945)(1793,1944)(1794,1943)(1795,1942)(1796,1941)(1797,1940)(1798,1939)(1799,1938)(1800,1937)(1801,1936)(1802,1935)(1803,1934)(1804,1933)(1805,1932)(1806,1931)(1807,1930)(1808,1929)(1809,1928)(1810,1927)(1811,1926)(1812,1925)(1813,1924)(1814,1923)(1815,1922)(1816,1921)(1817,1920)(1818,1919)(1819,1918)(1820,1917)(1821,1916)(1822,1915)(1823,1914)(1824,1913)(1825,1912)(1826,1911)(1827,1910)(1828,1909)(1829,1908)(1830,1907)(1831,1906)(1832,1905)(1833,1904)(1834,1903)(1835,1902)(1836,1901)(1837,1900)(1838,1899)(1839,1898)(1840,1897)(1841,1896)(1842,1895)(1843,1894)(1844,1893)(1845,1892)(1846,1891)(1847,1890)(1848,1889)(1849,1888)(1850,1887)(1851,1886)(1852,1885)(1853,1884)(1854,1883)(1855,1882)(1856,1881)(1857,1880)(1858,1879)(1859,1878)(1860,1877)(1861,1876)(1862,1875)(1863,1874)(1864,1873)(1865,1872)(1866,1871)(1867,1870)(1868,1869)Polycyclic presentation:
2^3,3727|b^a=bc,d^a=d^3726,d^b=d^37267457 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29816, 10);