Finite Group DatabasebetaFinite Group Databasebeta| order | 32392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C2 |
| dihedral | D16196 |
| unambiguous semidirect product | C4⋊D4049 |
| Fitting | C4×C4049 ⋊ C2 |
| Sylow | C4049 ⋊ D4 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C2 | C2×D4049 |
| commutator, socle, cosocle | C2×C4049 | C22 |
| Fitting | C4×C4049 | C2 |
| hypercenter | C4 | D4049 |
| hypocenter | C4049 | D4 |
| LCS | G ▷ C2×C4049 ▷ C4049 | |
| UCS | C1 ◁ C2 ◁ C4 | |
16 conjugacy classes of subgroups.
| minimal degree | μ(G) = 4053 |
| transitive degree | μt(G) = 16196 |
A minimal faithful permutation representation — 2 generators on 4053 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);(2,4)(6,4053)(7,4052)(8,4051)(9,4050)(10,4049)(11,4048)(12,4047)(13,4046)(14,4045)(15,4044)(16,4043)(17,4042)(18,4041)(19,4040)(20,4039)(21,4038)(22,4037)(23,4036)(24,4035)(25,4034)(26,4033)(27,4032)(28,4031)(29,4030)(30,4029)(31,4028)(32,4027)(33,4026)(34,4025)(35,4024)(36,4023)(37,4022)(38,4021)(39,4020)(40,4019)(41,4018)(42,4017)(43,4016)(44,4015)(45,4014)(46,4013)(47,4012)(48,4011)(49,4010)(50,4009)(51,4008)(52,4007)(53,4006)(54,4005)(55,4004)(56,4003)(57,4002)(58,4001)(59,4000)(60,3999)(61,3998)(62,3997)(63,3996)(64,3995)(65,3994)(66,3993)(67,3992)(68,3991)(69,3990)(70,3989)(71,3988)(72,3987)(73,3986)(74,3985)(75,3984)(76,3983)(77,3982)(78,3981)(79,3980)(80,3979)(81,3978)(82,3977)(83,3976)(84,3975)(85,3974)(86,3973)(87,3972)(88,3971)(89,3970)(90,3969)(91,3968)(92,3967)(93,3966)(94,3965)(95,3964)(96,3963)(97,3962)(98,3961)(99,3960)(100,3959)(101,3958)(102,3957)(103,3956)(104,3955)(105,3954)(106,3953)(107,3952)(108,3951)(109,3950)(110,3949)(111,3948)(112,3947)(113,3946)(114,3945)(115,3944)(116,3943)(117,3942)(118,3941)(119,3940)(120,3939)(121,3938)(122,3937)(123,3936)(124,3935)(125,3934)(126,3933)(127,3932)(128,3931)(129,3930)(130,3929)(131,3928)(132,3927)(133,3926)(134,3925)(135,3924)(136,3923)(137,3922)(138,3921)(139,3920)(140,3919)(141,3918)(142,3917)(143,3916)(144,3915)(145,3914)(146,3913)(147,3912)(148,3911)(149,3910)(150,3909)(151,3908)(152,3907)(153,3906)(154,3905)(155,3904)(156,3903)(157,3902)(158,3901)(159,3900)(160,3899)(161,3898)(162,3897)(163,3896)(164,3895)(165,3894)(166,3893)(167,3892)(168,3891)(169,3890)(170,3889)(171,3888)(172,3887)(173,3886)(174,3885)(175,3884)(176,3883)(177,3882)(178,3881)(179,3880)(180,3879)(181,3878)(182,3877)(183,3876)(184,3875)(185,3874)(186,3873)(187,3872)(188,3871)(189,3870)(190,3869)(191,3868)(192,3867)(193,3866)(194,3865)(195,3864)(196,3863)(197,3862)(198,3861)(199,3860)(200,3859)(201,3858)(202,3857)(203,3856)(204,3855)(205,3854)(206,3853)(207,3852)(208,3851)(209,3850)(210,3849)(211,3848)(212,3847)(213,3846)(214,3845)(215,3844)(216,3843)(217,3842)(218,3841)(219,3840)(220,3839)(221,3838)(222,3837)(223,3836)(224,3835)(225,3834)(226,3833)(227,3832)(228,3831)(229,3830)(230,3829)(231,3828)(232,3827)(233,3826)(234,3825)(235,3824)(236,3823)(237,3822)(238,3821)(239,3820)(240,3819)(241,3818)(242,3817)(243,3816)(244,3815)(245,3814)(246,3813)(247,3812)(248,3811)(249,3810)(250,3809)(251,3808)(252,3807)(253,3806)(254,3805)(255,3804)(256,3803)(257,3802)(258,3801)(259,3800)(260,3799)(261,3798)(262,3797)(263,3796)(264,3795)(265,3794)(266,3793)(267,3792)(268,3791)(269,3790)(270,3789)(271,3788)(272,3787)(273,3786)(274,3785)(275,3784)(276,3783)(277,3782)(278,3781)(279,3780)(280,3779)(281,3778)(282,3777)(283,3776)(284,3775)(285,3774)(286,3773)(287,3772)(288,3771)(289,3770)(290,3769)(291,3768)(292,3767)(293,3766)(294,3765)(295,3764)(296,3763)(297,3762)(298,3761)(299,3760)(300,3759)(301,3758)(302,3757)(303,3756)(304,3755)(305,3754)(306,3753)(307,3752)(308,3751)(309,3750)(310,3749)(311,3748)(312,3747)(313,3746)(314,3745)(315,3744)(316,3743)(317,3742)(318,3741)(319,3740)(320,3739)(321,3738)(322,3737)(323,3736)(324,3735)(325,3734)(326,3733)(327,3732)(328,3731)(329,3730)(330,3729)(331,3728)(332,3727)(333,3726)(334,3725)(335,3724)(336,3723)(337,3722)(338,3721)(339,3720)(340,3719)(341,3718)(342,3717)(343,3716)(344,3715)(345,3714)(346,3713)(347,3712)(348,3711)(349,3710)(350,3709)(351,3708)(352,3707)(353,3706)(354,3705)(355,3704)(356,3703)(357,3702)(358,3701)(359,3700)(360,3699)(361,3698)(362,3697)(363,3696)(364,3695)(365,3694)(366,3693)(367,3692)(368,3691)(369,3690)(370,3689)(371,3688)(372,3687)(373,3686)(374,3685)(375,3684)(376,3683)(377,3682)(378,3681)(379,3680)(380,3679)(381,3678)(382,3677)(383,3676)(384,3675)(385,3674)(386,3673)(387,3672)(388,3671)(389,3670)(390,3669)(391,3668)(392,3667)(393,3666)(394,3665)(395,3664)(396,3663)(397,3662)(398,3661)(399,3660)(400,3659)(401,3658)(402,3657)(403,3656)(404,3655)(405,3654)(406,3653)(407,3652)(408,3651)(409,3650)(410,3649)(411,3648)(412,3647)(413,3646)(414,3645)(415,3644)(416,3643)(417,3642)(418,3641)(419,3640)(420,3639)(421,3638)(422,3637)(423,3636)(424,3635)(425,3634)(426,3633)(427,3632)(428,3631)(429,3630)(430,3629)(431,3628)(432,3627)(433,3626)(434,3625)(435,3624)(436,3623)(437,3622)(438,3621)(439,3620)(440,3619)(441,3618)(442,3617)(443,3616)(444,3615)(445,3614)(446,3613)(447,3612)(448,3611)(449,3610)(450,3609)(451,3608)(452,3607)(453,3606)(454,3605)(455,3604)(456,3603)(457,3602)(458,3601)(459,3600)(460,3599)(461,3598)(462,3597)(463,3596)(464,3595)(465,3594)(466,3593)(467,3592)(468,3591)(469,3590)(470,3589)(471,3588)(472,3587)(473,3586)(474,3585)(475,3584)(476,3583)(477,3582)(478,3581)(479,3580)(480,3579)(481,3578)(482,3577)(483,3576)(484,3575)(485,3574)(486,3573)(487,3572)(488,3571)(489,3570)(490,3569)(491,3568)(492,3567)(493,3566)(494,3565)(495,3564)(496,3563)(497,3562)(498,3561)(499,3560)(500,3559)(501,3558)(502,3557)(503,3556)(504,3555)(505,3554)(506,3553)(507,3552)(508,3551)(509,3550)(510,3549)(511,3548)(512,3547)(513,3546)(514,3545)(515,3544)(516,3543)(517,3542)(518,3541)(519,3540)(520,3539)(521,3538)(522,3537)(523,3536)(524,3535)(525,3534)(526,3533)(527,3532)(528,3531)(529,3530)(530,3529)(531,3528)(532,3527)(533,3526)(534,3525)(535,3524)(536,3523)(537,3522)(538,3521)(539,3520)(540,3519)(541,3518)(542,3517)(543,3516)(544,3515)(545,3514)(546,3513)(547,3512)(548,3511)(549,3510)(550,3509)(551,3508)(552,3507)(553,3506)(554,3505)(555,3504)(556,3503)(557,3502)(558,3501)(559,3500)(560,3499)(561,3498)(562,3497)(563,3496)(564,3495)(565,3494)(566,3493)(567,3492)(568,3491)(569,3490)(570,3489)(571,3488)(572,3487)(573,3486)(574,3485)(575,3484)(576,3483)(577,3482)(578,3481)(579,3480)(580,3479)(581,3478)(582,3477)(583,3476)(584,3475)(585,3474)(586,3473)(587,3472)(588,3471)(589,3470)(590,3469)(591,3468)(592,3467)(593,3466)(594,3465)(595,3464)(596,3463)(597,3462)(598,3461)(599,3460)(600,3459)(601,3458)(602,3457)(603,3456)(604,3455)(605,3454)(606,3453)(607,3452)(608,3451)(609,3450)(610,3449)(611,3448)(612,3447)(613,3446)(614,3445)(615,3444)(616,3443)(617,3442)(618,3441)(619,3440)(620,3439)(621,3438)(622,3437)(623,3436)(624,3435)(625,3434)(626,3433)(627,3432)(628,3431)(629,3430)(630,3429)(631,3428)(632,3427)(633,3426)(634,3425)(635,3424)(636,3423)(637,3422)(638,3421)(639,3420)(640,3419)(641,3418)(642,3417)(643,3416)(644,3415)(645,3414)(646,3413)(647,3412)(648,3411)(649,3410)(650,3409)(651,3408)(652,3407)(653,3406)(654,3405)(655,3404)(656,3403)(657,3402)(658,3401)(659,3400)(660,3399)(661,3398)(662,3397)(663,3396)(664,3395)(665,3394)(666,3393)(667,3392)(668,3391)(669,3390)(670,3389)(671,3388)(672,3387)(673,3386)(674,3385)(675,3384)(676,3383)(677,3382)(678,3381)(679,3380)(680,3379)(681,3378)(682,3377)(683,3376)(684,3375)(685,3374)(686,3373)(687,3372)(688,3371)(689,3370)(690,3369)(691,3368)(692,3367)(693,3366)(694,3365)(695,3364)(696,3363)(697,3362)(698,3361)(699,3360)(700,3359)(701,3358)(702,3357)(703,3356)(704,3355)(705,3354)(706,3353)(707,3352)(708,3351)(709,3350)(710,3349)(711,3348)(712,3347)(713,3346)(714,3345)(715,3344)(716,3343)(717,3342)(718,3341)(719,3340)(720,3339)(721,3338)(722,3337)(723,3336)(724,3335)(725,3334)(726,3333)(727,3332)(728,3331)(729,3330)(730,3329)(731,3328)(732,3327)(733,3326)(734,3325)(735,3324)(736,3323)(737,3322)(738,3321)(739,3320)(740,3319)(741,3318)(742,3317)(743,3316)(744,3315)(745,3314)(746,3313)(747,3312)(748,3311)(749,3310)(750,3309)(751,3308)(752,3307)(753,3306)(754,3305)(755,3304)(756,3303)(757,3302)(758,3301)(759,3300)(760,3299)(761,3298)(762,3297)(763,3296)(764,3295)(765,3294)(766,3293)(767,3292)(768,3291)(769,3290)(770,3289)(771,3288)(772,3287)(773,3286)(774,3285)(775,3284)(776,3283)(777,3282)(778,3281)(779,3280)(780,3279)(781,3278)(782,3277)(783,3276)(784,3275)(785,3274)(786,3273)(787,3272)(788,3271)(789,3270)(790,3269)(791,3268)(792,3267)(793,3266)(794,3265)(795,3264)(796,3263)(797,3262)(798,3261)(799,3260)(800,3259)(801,3258)(802,3257)(803,3256)(804,3255)(805,3254)(806,3253)(807,3252)(808,3251)(809,3250)(810,3249)(811,3248)(812,3247)(813,3246)(814,3245)(815,3244)(816,3243)(817,3242)(818,3241)(819,3240)(820,3239)(821,3238)(822,3237)(823,3236)(824,3235)(825,3234)(826,3233)(827,3232)(828,3231)(829,3230)(830,3229)(831,3228)(832,3227)(833,3226)(834,3225)(835,3224)(836,3223)(837,3222)(838,3221)(839,3220)(840,3219)(841,3218)(842,3217)(843,3216)(844,3215)(845,3214)(846,3213)(847,3212)(848,3211)(849,3210)(850,3209)(851,3208)(852,3207)(853,3206)(854,3205)(855,3204)(856,3203)(857,3202)(858,3201)(859,3200)(860,3199)(861,3198)(862,3197)(863,3196)(864,3195)(865,3194)(866,3193)(867,3192)(868,3191)(869,3190)(870,3189)(871,3188)(872,3187)(873,3186)(874,3185)(875,3184)(876,3183)(877,3182)(878,3181)(879,3180)(880,3179)(881,3178)(882,3177)(883,3176)(884,3175)(885,3174)(886,3173)(887,3172)(888,3171)(889,3170)(890,3169)(891,3168)(892,3167)(893,3166)(894,3165)(895,3164)(896,3163)(897,3162)(898,3161)(899,3160)(900,3159)(901,3158)(902,3157)(903,3156)(904,3155)(905,3154)(906,3153)(907,3152)(908,3151)(909,3150)(910,3149)(911,3148)(912,3147)(913,3146)(914,3145)(915,3144)(916,3143)(917,3142)(918,3141)(919,3140)(920,3139)(921,3138)(922,3137)(923,3136)(924,3135)(925,3134)(926,3133)(927,3132)(928,3131)(929,3130)(930,3129)(931,3128)(932,3127)(933,3126)(934,3125)(935,3124)(936,3123)(937,3122)(938,3121)(939,3120)(940,3119)(941,3118)(942,3117)(943,3116)(944,3115)(945,3114)(946,3113)(947,3112)(948,3111)(949,3110)(950,3109)(951,3108)(952,3107)(953,3106)(954,3105)(955,3104)(956,3103)(957,3102)(958,3101)(959,3100)(960,3099)(961,3098)(962,3097)(963,3096)(964,3095)(965,3094)(966,3093)(967,3092)(968,3091)(969,3090)(970,3089)(971,3088)(972,3087)(973,3086)(974,3085)(975,3084)(976,3083)(977,3082)(978,3081)(979,3080)(980,3079)(981,3078)(982,3077)(983,3076)(984,3075)(985,3074)(986,3073)(987,3072)(988,3071)(989,3070)(990,3069)(991,3068)(992,3067)(993,3066)(994,3065)(995,3064)(996,3063)(997,3062)(998,3061)(999,3060)(1000,3059)(1001,3058)(1002,3057)(1003,3056)(1004,3055)(1005,3054)(1006,3053)(1007,3052)(1008,3051)(1009,3050)(1010,3049)(1011,3048)(1012,3047)(1013,3046)(1014,3045)(1015,3044)(1016,3043)(1017,3042)(1018,3041)(1019,3040)(1020,3039)(1021,3038)(1022,3037)(1023,3036)(1024,3035)(1025,3034)(1026,3033)(1027,3032)(1028,3031)(1029,3030)(1030,3029)(1031,3028)(1032,3027)(1033,3026)(1034,3025)(1035,3024)(1036,3023)(1037,3022)(1038,3021)(1039,3020)(1040,3019)(1041,3018)(1042,3017)(1043,3016)(1044,3015)(1045,3014)(1046,3013)(1047,3012)(1048,3011)(1049,3010)(1050,3009)(1051,3008)(1052,3007)(1053,3006)(1054,3005)(1055,3004)(1056,3003)(1057,3002)(1058,3001)(1059,3000)(1060,2999)(1061,2998)(1062,2997)(1063,2996)(1064,2995)(1065,2994)(1066,2993)(1067,2992)(1068,2991)(1069,2990)(1070,2989)(1071,2988)(1072,2987)(1073,2986)(1074,2985)(1075,2984)(1076,2983)(1077,2982)(1078,2981)(1079,2980)(1080,2979)(1081,2978)(1082,2977)(1083,2976)(1084,2975)(1085,2974)(1086,2973)(1087,2972)(1088,2971)(1089,2970)(1090,2969)(1091,2968)(1092,2967)(1093,2966)(1094,2965)(1095,2964)(1096,2963)(1097,2962)(1098,2961)(1099,2960)(1100,2959)(1101,2958)(1102,2957)(1103,2956)(1104,2955)(1105,2954)(1106,2953)(1107,2952)(1108,2951)(1109,2950)(1110,2949)(1111,2948)(1112,2947)(1113,2946)(1114,2945)(1115,2944)(1116,2943)(1117,2942)(1118,2941)(1119,2940)(1120,2939)(1121,2938)(1122,2937)(1123,2936)(1124,2935)(1125,2934)(1126,2933)(1127,2932)(1128,2931)(1129,2930)(1130,2929)(1131,2928)(1132,2927)(1133,2926)(1134,2925)(1135,2924)(1136,2923)(1137,2922)(1138,2921)(1139,2920)(1140,2919)(1141,2918)(1142,2917)(1143,2916)(1144,2915)(1145,2914)(1146,2913)(1147,2912)(1148,2911)(1149,2910)(1150,2909)(1151,2908)(1152,2907)(1153,2906)(1154,2905)(1155,2904)(1156,2903)(1157,2902)(1158,2901)(1159,2900)(1160,2899)(1161,2898)(1162,2897)(1163,2896)(1164,2895)(1165,2894)(1166,2893)(1167,2892)(1168,2891)(1169,2890)(1170,2889)(1171,2888)(1172,2887)(1173,2886)(1174,2885)(1175,2884)(1176,2883)(1177,2882)(1178,2881)(1179,2880)(1180,2879)(1181,2878)(1182,2877)(1183,2876)(1184,2875)(1185,2874)(1186,2873)(1187,2872)(1188,2871)(1189,2870)(1190,2869)(1191,2868)(1192,2867)(1193,2866)(1194,2865)(1195,2864)(1196,2863)(1197,2862)(1198,2861)(1199,2860)(1200,2859)(1201,2858)(1202,2857)(1203,2856)(1204,2855)(1205,2854)(1206,2853)(1207,2852)(1208,2851)(1209,2850)(1210,2849)(1211,2848)(1212,2847)(1213,2846)(1214,2845)(1215,2844)(1216,2843)(1217,2842)(1218,2841)(1219,2840)(1220,2839)(1221,2838)(1222,2837)(1223,2836)(1224,2835)(1225,2834)(1226,2833)(1227,2832)(1228,2831)(1229,2830)(1230,2829)(1231,2828)(1232,2827)(1233,2826)(1234,2825)(1235,2824)(1236,2823)(1237,2822)(1238,2821)(1239,2820)(1240,2819)(1241,2818)(1242,2817)(1243,2816)(1244,2815)(1245,2814)(1246,2813)(1247,2812)(1248,2811)(1249,2810)(1250,2809)(1251,2808)(1252,2807)(1253,2806)(1254,2805)(1255,2804)(1256,2803)(1257,2802)(1258,2801)(1259,2800)(1260,2799)(1261,2798)(1262,2797)(1263,2796)(1264,2795)(1265,2794)(1266,2793)(1267,2792)(1268,2791)(1269,2790)(1270,2789)(1271,2788)(1272,2787)(1273,2786)(1274,2785)(1275,2784)(1276,2783)(1277,2782)(1278,2781)(1279,2780)(1280,2779)(1281,2778)(1282,2777)(1283,2776)(1284,2775)(1285,2774)(1286,2773)(1287,2772)(1288,2771)(1289,2770)(1290,2769)(1291,2768)(1292,2767)(1293,2766)(1294,2765)(1295,2764)(1296,2763)(1297,2762)(1298,2761)(1299,2760)(1300,2759)(1301,2758)(1302,2757)(1303,2756)(1304,2755)(1305,2754)(1306,2753)(1307,2752)(1308,2751)(1309,2750)(1310,2749)(1311,2748)(1312,2747)(1313,2746)(1314,2745)(1315,2744)(1316,2743)(1317,2742)(1318,2741)(1319,2740)(1320,2739)(1321,2738)(1322,2737)(1323,2736)(1324,2735)(1325,2734)(1326,2733)(1327,2732)(1328,2731)(1329,2730)(1330,2729)(1331,2728)(1332,2727)(1333,2726)(1334,2725)(1335,2724)(1336,2723)(1337,2722)(1338,2721)(1339,2720)(1340,2719)(1341,2718)(1342,2717)(1343,2716)(1344,2715)(1345,2714)(1346,2713)(1347,2712)(1348,2711)(1349,2710)(1350,2709)(1351,2708)(1352,2707)(1353,2706)(1354,2705)(1355,2704)(1356,2703)(1357,2702)(1358,2701)(1359,2700)(1360,2699)(1361,2698)(1362,2697)(1363,2696)(1364,2695)(1365,2694)(1366,2693)(1367,2692)(1368,2691)(1369,2690)(1370,2689)(1371,2688)(1372,2687)(1373,2686)(1374,2685)(1375,2684)(1376,2683)(1377,2682)(1378,2681)(1379,2680)(1380,2679)(1381,2678)(1382,2677)(1383,2676)(1384,2675)(1385,2674)(1386,2673)(1387,2672)(1388,2671)(1389,2670)(1390,2669)(1391,2668)(1392,2667)(1393,2666)(1394,2665)(1395,2664)(1396,2663)(1397,2662)(1398,2661)(1399,2660)(1400,2659)(1401,2658)(1402,2657)(1403,2656)(1404,2655)(1405,2654)(1406,2653)(1407,2652)(1408,2651)(1409,2650)(1410,2649)(1411,2648)(1412,2647)(1413,2646)(1414,2645)(1415,2644)(1416,2643)(1417,2642)(1418,2641)(1419,2640)(1420,2639)(1421,2638)(1422,2637)(1423,2636)(1424,2635)(1425,2634)(1426,2633)(1427,2632)(1428,2631)(1429,2630)(1430,2629)(1431,2628)(1432,2627)(1433,2626)(1434,2625)(1435,2624)(1436,2623)(1437,2622)(1438,2621)(1439,2620)(1440,2619)(1441,2618)(1442,2617)(1443,2616)(1444,2615)(1445,2614)(1446,2613)(1447,2612)(1448,2611)(1449,2610)(1450,2609)(1451,2608)(1452,2607)(1453,2606)(1454,2605)(1455,2604)(1456,2603)(1457,2602)(1458,2601)(1459,2600)(1460,2599)(1461,2598)(1462,2597)(1463,2596)(1464,2595)(1465,2594)(1466,2593)(1467,2592)(1468,2591)(1469,2590)(1470,2589)(1471,2588)(1472,2587)(1473,2586)(1474,2585)(1475,2584)(1476,2583)(1477,2582)(1478,2581)(1479,2580)(1480,2579)(1481,2578)(1482,2577)(1483,2576)(1484,2575)(1485,2574)(1486,2573)(1487,2572)(1488,2571)(1489,2570)(1490,2569)(1491,2568)(1492,2567)(1493,2566)(1494,2565)(1495,2564)(1496,2563)(1497,2562)(1498,2561)(1499,2560)(1500,2559)(1501,2558)(1502,2557)(1503,2556)(1504,2555)(1505,2554)(1506,2553)(1507,2552)(1508,2551)(1509,2550)(1510,2549)(1511,2548)(1512,2547)(1513,2546)(1514,2545)(1515,2544)(1516,2543)(1517,2542)(1518,2541)(1519,2540)(1520,2539)(1521,2538)(1522,2537)(1523,2536)(1524,2535)(1525,2534)(1526,2533)(1527,2532)(1528,2531)(1529,2530)(1530,2529)(1531,2528)(1532,2527)(1533,2526)(1534,2525)(1535,2524)(1536,2523)(1537,2522)(1538,2521)(1539,2520)(1540,2519)(1541,2518)(1542,2517)(1543,2516)(1544,2515)(1545,2514)(1546,2513)(1547,2512)(1548,2511)(1549,2510)(1550,2509)(1551,2508)(1552,2507)(1553,2506)(1554,2505)(1555,2504)(1556,2503)(1557,2502)(1558,2501)(1559,2500)(1560,2499)(1561,2498)(1562,2497)(1563,2496)(1564,2495)(1565,2494)(1566,2493)(1567,2492)(1568,2491)(1569,2490)(1570,2489)(1571,2488)(1572,2487)(1573,2486)(1574,2485)(1575,2484)(1576,2483)(1577,2482)(1578,2481)(1579,2480)(1580,2479)(1581,2478)(1582,2477)(1583,2476)(1584,2475)(1585,2474)(1586,2473)(1587,2472)(1588,2471)(1589,2470)(1590,2469)(1591,2468)(1592,2467)(1593,2466)(1594,2465)(1595,2464)(1596,2463)(1597,2462)(1598,2461)(1599,2460)(1600,2459)(1601,2458)(1602,2457)(1603,2456)(1604,2455)(1605,2454)(1606,2453)(1607,2452)(1608,2451)(1609,2450)(1610,2449)(1611,2448)(1612,2447)(1613,2446)(1614,2445)(1615,2444)(1616,2443)(1617,2442)(1618,2441)(1619,2440)(1620,2439)(1621,2438)(1622,2437)(1623,2436)(1624,2435)(1625,2434)(1626,2433)(1627,2432)(1628,2431)(1629,2430)(1630,2429)(1631,2428)(1632,2427)(1633,2426)(1634,2425)(1635,2424)(1636,2423)(1637,2422)(1638,2421)(1639,2420)(1640,2419)(1641,2418)(1642,2417)(1643,2416)(1644,2415)(1645,2414)(1646,2413)(1647,2412)(1648,2411)(1649,2410)(1650,2409)(1651,2408)(1652,2407)(1653,2406)(1654,2405)(1655,2404)(1656,2403)(1657,2402)(1658,2401)(1659,2400)(1660,2399)(1661,2398)(1662,2397)(1663,2396)(1664,2395)(1665,2394)(1666,2393)(1667,2392)(1668,2391)(1669,2390)(1670,2389)(1671,2388)(1672,2387)(1673,2386)(1674,2385)(1675,2384)(1676,2383)(1677,2382)(1678,2381)(1679,2380)(1680,2379)(1681,2378)(1682,2377)(1683,2376)(1684,2375)(1685,2374)(1686,2373)(1687,2372)(1688,2371)(1689,2370)(1690,2369)(1691,2368)(1692,2367)(1693,2366)(1694,2365)(1695,2364)(1696,2363)(1697,2362)(1698,2361)(1699,2360)(1700,2359)(1701,2358)(1702,2357)(1703,2356)(1704,2355)(1705,2354)(1706,2353)(1707,2352)(1708,2351)(1709,2350)(1710,2349)(1711,2348)(1712,2347)(1713,2346)(1714,2345)(1715,2344)(1716,2343)(1717,2342)(1718,2341)(1719,2340)(1720,2339)(1721,2338)(1722,2337)(1723,2336)(1724,2335)(1725,2334)(1726,2333)(1727,2332)(1728,2331)(1729,2330)(1730,2329)(1731,2328)(1732,2327)(1733,2326)(1734,2325)(1735,2324)(1736,2323)(1737,2322)(1738,2321)(1739,2320)(1740,2319)(1741,2318)(1742,2317)(1743,2316)(1744,2315)(1745,2314)(1746,2313)(1747,2312)(1748,2311)(1749,2310)(1750,2309)(1751,2308)(1752,2307)(1753,2306)(1754,2305)(1755,2304)(1756,2303)(1757,2302)(1758,2301)(1759,2300)(1760,2299)(1761,2298)(1762,2297)(1763,2296)(1764,2295)(1765,2294)(1766,2293)(1767,2292)(1768,2291)(1769,2290)(1770,2289)(1771,2288)(1772,2287)(1773,2286)(1774,2285)(1775,2284)(1776,2283)(1777,2282)(1778,2281)(1779,2280)(1780,2279)(1781,2278)(1782,2277)(1783,2276)(1784,2275)(1785,2274)(1786,2273)(1787,2272)(1788,2271)(1789,2270)(1790,2269)(1791,2268)(1792,2267)(1793,2266)(1794,2265)(1795,2264)(1796,2263)(1797,2262)(1798,2261)(1799,2260)(1800,2259)(1801,2258)(1802,2257)(1803,2256)(1804,2255)(1805,2254)(1806,2253)(1807,2252)(1808,2251)(1809,2250)(1810,2249)(1811,2248)(1812,2247)(1813,2246)(1814,2245)(1815,2244)(1816,2243)(1817,2242)(1818,2241)(1819,2240)(1820,2239)(1821,2238)(1822,2237)(1823,2236)(1824,2235)(1825,2234)(1826,2233)(1827,2232)(1828,2231)(1829,2230)(1830,2229)(1831,2228)(1832,2227)(1833,2226)(1834,2225)(1835,2224)(1836,2223)(1837,2222)(1838,2221)(1839,2220)(1840,2219)(1841,2218)(1842,2217)(1843,2216)(1844,2215)(1845,2214)(1846,2213)(1847,2212)(1848,2211)(1849,2210)(1850,2209)(1851,2208)(1852,2207)(1853,2206)(1854,2205)(1855,2204)(1856,2203)(1857,2202)(1858,2201)(1859,2200)(1860,2199)(1861,2198)(1862,2197)(1863,2196)(1864,2195)(1865,2194)(1866,2193)(1867,2192)(1868,2191)(1869,2190)(1870,2189)(1871,2188)(1872,2187)(1873,2186)(1874,2185)(1875,2184)(1876,2183)(1877,2182)(1878,2181)(1879,2180)(1880,2179)(1881,2178)(1882,2177)(1883,2176)(1884,2175)(1885,2174)(1886,2173)(1887,2172)(1888,2171)(1889,2170)(1890,2169)(1891,2168)(1892,2167)(1893,2166)(1894,2165)(1895,2164)(1896,2163)(1897,2162)(1898,2161)(1899,2160)(1900,2159)(1901,2158)(1902,2157)(1903,2156)(1904,2155)(1905,2154)(1906,2153)(1907,2152)(1908,2151)(1909,2150)(1910,2149)(1911,2148)(1912,2147)(1913,2146)(1914,2145)(1915,2144)(1916,2143)(1917,2142)(1918,2141)(1919,2140)(1920,2139)(1921,2138)(1922,2137)(1923,2136)(1924,2135)(1925,2134)(1926,2133)(1927,2132)(1928,2131)(1929,2130)(1930,2129)(1931,2128)(1932,2127)(1933,2126)(1934,2125)(1935,2124)(1936,2123)(1937,2122)(1938,2121)(1939,2120)(1940,2119)(1941,2118)(1942,2117)(1943,2116)(1944,2115)(1945,2114)(1946,2113)(1947,2112)(1948,2111)(1949,2110)(1950,2109)(1951,2108)(1952,2107)(1953,2106)(1954,2105)(1955,2104)(1956,2103)(1957,2102)(1958,2101)(1959,2100)(1960,2099)(1961,2098)(1962,2097)(1963,2096)(1964,2095)(1965,2094)(1966,2093)(1967,2092)(1968,2091)(1969,2090)(1970,2089)(1971,2088)(1972,2087)(1973,2086)(1974,2085)(1975,2084)(1976,2083)(1977,2082)(1978,2081)(1979,2080)(1980,2079)(1981,2078)(1982,2077)(1983,2076)(1984,2075)(1985,2074)(1986,2073)(1987,2072)(1988,2071)(1989,2070)(1990,2069)(1991,2068)(1992,2067)(1993,2066)(1994,2065)(1995,2064)(1996,2063)(1997,2062)(1998,2061)(1999,2060)(2000,2059)(2001,2058)(2002,2057)(2003,2056)(2004,2055)(2005,2054)(2006,2053)(2007,2052)(2008,2051)(2009,2050)(2010,2049)(2011,2048)(2012,2047)(2013,2046)(2014,2045)(2015,2044)(2016,2043)(2017,2042)(2018,2041)(2019,2040)(2020,2039)(2021,2038)(2022,2037)(2023,2036)(2024,2035)(2025,2034)(2026,2033)(2027,2032)(2028,2031)(2029,2030)Polycyclic presentation:
2^3,4049|b^a=bc,d^a=d^4048,d^b=d^40488101 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32392, 10);