Finite Group DatabasebetaFinite Group Databasebeta| order | 36968 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C2 |
| dihedral | D18484 |
| unambiguous semidirect product | C4⋊D4621 |
| Fitting | C4×C4621 ⋊ C2 |
| Sylow | C4621 ⋊ D4 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C2 | C2×D4621 |
| commutator, socle, cosocle | C2×C4621 | C22 |
| Fitting | C4×C4621 | C2 |
| hypercenter | C4 | D4621 |
| hypocenter | C4621 | D4 |
| LCS | G ▷ C2×C4621 ▷ C4621 | |
| UCS | C1 ◁ C2 ◁ C4 | |
16 conjugacy classes of subgroups.
| minimal degree | μ(G) = 4625 |
| transitive degree | μt(G) = 18484 |
A minimal faithful permutation representation — 2 generators on 4625 points:
(1,2,3,4)(5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2070,2071,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,2180,2181,2182,2183,2184,2185,2186,2187,2188,2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,2217,2218,2219,2220,2221,2222,2223,2224,2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2236,2237,2238,2239,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,2253,2254,2255,2256,2257,2258,2259,2260,2261,2262,2263,2264,2265,2266,2267,2268,2269,2270,2271,2272,2273,2274,2275,2276,2277,2278,2279,2280,2281,2282,2283,2284,2285,2286,2287,2288,2289,2290,2291,2292,2293,2294,2295,2296,2297,2298,2299,2300,2301,2302,2303,2304,2305,2306,2307,2308,2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,2320,2321,2322,2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,2333,2334,2335,2336,2337,2338,2339,2340,2341,2342,2343,2344,2345,2346,2347,2348,2349,2350,2351,2352,2353,2354,2355,2356,2357,2358,2359,2360,2361,2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,2372,2373,2374,2375,2376,2377,2378,2379,2380,2381,2382,2383,2384,2385,2386,2387,2388,2389,2390,2391,2392,2393,2394,2395,2396,2397,2398,2399,2400,2401,2402,2403,2404,2405,2406,2407,2408,2409,2410,2411,2412,2413,2414,2415,2416,2417,2418,2419,2420,2421,2422,2423,2424,2425,2426,2427,2428,2429,2430,2431,2432,2433,2434,2435,2436,2437,2438,2439,2440,2441,2442,2443,2444,2445,2446,2447,2448,2449,2450,2451,2452,2453,2454,2455,2456,2457,2458,2459,2460,2461,2462,2463,2464,2465,2466,2467,2468,2469,2470,2471,2472,2473,2474,2475,2476,2477,2478,2479,2480,2481,2482,2483,2484,2485,2486,2487,2488,2489,2490,2491,2492,2493,2494,2495,2496,2497,2498,2499,2500,2501,2502,2503,2504,2505,2506,2507,2508,2509,2510,2511,2512,2513,2514,2515,2516,2517,2518,2519,2520,2521,2522,2523,2524,2525,2526,2527,2528,2529,2530,2531,2532,2533,2534,2535,2536,2537,2538,2539,2540,2541,2542,2543,2544,2545,2546,2547,2548,2549,2550,2551,2552,2553,2554,2555,2556,2557,2558,2559,2560,2561,2562,2563,2564,2565,2566,2567,2568,2569,2570,2571,2572,2573,2574,2575,2576,2577,2578,2579,2580,2581,2582,2583,2584,2585,2586,2587,2588,2589,2590,2591,2592,2593,2594,2595,2596,2597,2598,2599,2600,2601,2602,2603,2604,2605,2606,2607,2608,2609,2610,2611,2612,2613,2614,2615,2616,2617,2618,2619,2620,2621,2622,2623,2624,2625,2626,2627,2628,2629,2630,2631,2632,2633,2634,2635,2636,2637,2638,2639,2640,2641,2642,2643,2644,2645,2646,2647,2648,2649,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,2662,2663,2664,2665,2666,2667,2668,2669,2670,2671,2672,2673,2674,2675,2676,2677,2678,2679,2680,2681,2682,2683,2684,2685,2686,2687,2688,2689,2690,2691,2692,2693,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,2705,2706,2707,2708,2709,2710,2711,2712,2713,2714,2715,2716,2717,2718,2719,2720,2721,2722,2723,2724,2725,2726,2727,2728,2729,2730,2731,2732,2733,2734,2735,2736,2737,2738,2739,2740,2741,2742,2743,2744,2745,2746,2747,2748,2749,2750,2751,2752,2753,2754,2755,2756,2757,2758,2759,2760,2761,2762,2763,2764,2765,2766,2767,2768,2769,2770,2771,2772,2773,2774,2775,2776,2777,2778,2779,2780,2781,2782,2783,2784,2785,2786,2787,2788,2789,2790,2791,2792,2793,2794,2795,2796,2797,2798,2799,2800,2801,2802,2803,2804,2805,2806,2807,2808,2809,2810,2811,2812,2813,2814,2815,2816,2817,2818,2819,2820,2821,2822,2823,2824,2825,2826,2827,2828,2829,2830,2831,2832,2833,2834,2835,2836,2837,2838,2839,2840,2841,2842,2843,2844,2845,2846,2847,2848,2849,2850,2851,2852,2853,2854,2855,2856,2857,2858,2859,2860,2861,2862,2863,2864,2865,2866,2867,2868,2869,2870,2871,2872,2873,2874,2875,2876,2877,2878,2879,2880,2881,2882,2883,2884,2885,2886,2887,2888,2889,2890,2891,2892,2893,2894,2895,2896,2897,2898,2899,2900,2901,2902,2903,2904,2905,2906,2907,2908,2909,2910,2911,2912,2913,2914,2915,2916,2917,2918,2919,2920,2921,2922,2923,2924,2925,2926,2927,2928,2929,2930,2931,2932,2933,2934,2935,2936,2937,2938,2939,2940,2941,2942,2943,2944,2945,2946,2947,2948,2949,2950,2951,2952,2953,2954,2955,2956,2957,2958,2959,2960,2961,2962,2963,2964,2965,2966,2967,2968,2969,2970,2971,2972,2973,2974,2975,2976,2977,2978,2979,2980,2981,2982,2983,2984,2985,2986,2987,2988,2989,2990,2991,2992,2993,2994,2995,2996,2997,2998,2999,3000,3001,3002,3003,3004,3005,3006,3007,3008,3009,3010,3011,3012,3013,3014,3015,3016,3017,3018,3019,3020,3021,3022,3023,3024,3025,3026,3027,3028,3029,3030,3031,3032,3033,3034,3035,3036,3037,3038,3039,3040,3041,3042,3043,3044,3045,3046,3047,3048,3049,3050,3051,3052,3053,3054,3055,3056,3057,3058,3059,3060,3061,3062,3063,3064,3065,3066,3067,3068,3069,3070,3071,3072,3073,3074,3075,3076,3077,3078,3079,3080,3081,3082,3083,3084,3085,3086,3087,3088,3089,3090,3091,3092,3093,3094,3095,3096,3097,3098,3099,3100,3101,3102,3103,3104,3105,3106,3107,3108,3109,3110,3111,3112,3113,3114,3115,3116,3117,3118,3119,3120,3121,3122,3123,3124,3125,3126,3127,3128,3129,3130,3131,3132,3133,3134,3135,3136,3137,3138,3139,3140,3141,3142,3143,3144,3145,3146,3147,3148,3149,3150,3151,3152,3153,3154,3155,3156,3157,3158,3159,3160,3161,3162,3163,3164,3165,3166,3167,3168,3169,3170,3171,3172,3173,3174,3175,3176,3177,3178,3179,3180,3181,3182,3183,3184,3185,3186,3187,3188,3189,3190,3191,3192,3193,3194,3195,3196,3197,3198,3199,3200,3201,3202,3203,3204,3205,3206,3207,3208,3209,3210,3211,3212,3213,3214,3215,3216,3217,3218,3219,3220,3221,3222,3223,3224,3225,3226,3227,3228,3229,3230,3231,3232,3233,3234,3235,3236,3237,3238,3239,3240,3241,3242,3243,3244,3245,3246,3247,3248,3249,3250,3251,3252,3253,3254,3255,3256,3257,3258,3259,3260,3261,3262,3263,3264,3265,3266,3267,3268,3269,3270,3271,3272,3273,3274,3275,3276,3277,3278,3279,3280,3281,3282,3283,3284,3285,3286,3287,3288,3289,3290,3291,3292,3293,3294,3295,3296,3297,3298,3299,3300,3301,3302,3303,3304,3305,3306,3307,3308,3309,3310,3311,3312,3313,3314,3315,3316,3317,3318,3319,3320,3321,3322,3323,3324,3325,3326,3327,3328,3329,3330,3331,3332,3333,3334,3335,3336,3337,3338,3339,3340,3341,3342,3343,3344,3345,3346,3347,3348,3349,3350,3351,3352,3353,3354,3355,3356,3357,3358,3359,3360,3361,3362,3363,3364,3365,3366,3367,3368,3369,3370,3371,3372,3373,3374,3375,3376,3377,3378,3379,3380,3381,3382,3383,3384,3385,3386,3387,3388,3389,3390,3391,3392,3393,3394,3395,3396,3397,3398,3399,3400,3401,3402,3403,3404,3405,3406,3407,3408,3409,3410,3411,3412,3413,3414,3415,3416,3417,3418,3419,3420,3421,3422,3423,3424,3425,3426,3427,3428,3429,3430,3431,3432,3433,3434,3435,3436,3437,3438,3439,3440,3441,3442,3443,3444,3445,3446,3447,3448,3449,3450,3451,3452,3453,3454,3455,3456,3457,3458,3459,3460,3461,3462,3463,3464,3465,3466,3467,3468,3469,3470,3471,3472,3473,3474,3475,3476,3477,3478,3479,3480,3481,3482,3483,3484,3485,3486,3487,3488,3489,3490,3491,3492,3493,3494,3495,3496,3497,3498,3499,3500,3501,3502,3503,3504,3505,3506,3507,3508,3509,3510,3511,3512,3513,3514,3515,3516,3517,3518,3519,3520,3521,3522,3523,3524,3525,3526,3527,3528,3529,3530,3531,3532,3533,3534,3535,3536,3537,3538,3539,3540,3541,3542,3543,3544,3545,3546,3547,3548,3549,3550,3551,3552,3553,3554,3555,3556,3557,3558,3559,3560,3561,3562,3563,3564,3565,3566,3567,3568,3569,3570,3571,3572,3573,3574,3575,3576,3577,3578,3579,3580,3581,3582,3583,3584,3585,3586,3587,3588,3589,3590,3591,3592,3593,3594,3595,3596,3597,3598,3599,3600,3601,3602,3603,3604,3605,3606,3607,3608,3609,3610,3611,3612,3613,3614,3615,3616,3617,3618,3619,3620,3621,3622,3623,3624,3625,3626,3627,3628,3629,3630,3631,3632,3633,3634,3635,3636,3637,3638,3639,3640,3641,3642,3643,3644,3645,3646,3647,3648,3649,3650,3651,3652,3653,3654,3655,3656,3657,3658,3659,3660,3661,3662,3663,3664,3665,3666,3667,3668,3669,3670,3671,3672,3673,3674,3675,3676,3677,3678,3679,3680,3681,3682,3683,3684,3685,3686,3687,3688,3689,3690,3691,3692,3693,3694,3695,3696,3697,3698,3699,3700,3701,3702,3703,3704,3705,3706,3707,3708,3709,3710,3711,3712,3713,3714,3715,3716,3717,3718,3719,3720,3721,3722,3723,3724,3725,3726,3727,3728,3729,3730,3731,3732,3733,3734,3735,3736,3737,3738,3739,3740,3741,3742,3743,3744,3745,3746,3747,3748,3749,3750,3751,3752,3753,3754,3755,3756,3757,3758,3759,3760,3761,3762,3763,3764,3765,3766,3767,3768,3769,3770,3771,3772,3773,3774,3775,3776,3777,3778,3779,3780,3781,3782,3783,3784,3785,3786,3787,3788,3789,3790,3791,3792,3793,3794,3795,3796,3797,3798,3799,3800,3801,3802,3803,3804,3805,3806,3807,3808,3809,3810,3811,3812,3813,3814,3815,3816,3817,3818,3819,3820,3821,3822,3823,3824,3825,3826,3827,3828,3829,3830,3831,3832,3833,3834,3835,3836,3837,3838,3839,3840,3841,3842,3843,3844,3845,3846,3847,3848,3849,3850,3851,3852,3853,3854,3855,3856,3857,3858,3859,3860,3861,3862,3863,3864,3865,3866,3867,3868,3869,3870,3871,3872,3873,3874,3875,3876,3877,3878,3879,3880,3881,3882,3883,3884,3885,3886,3887,3888,3889,3890,3891,3892,3893,3894,3895,3896,3897,3898,3899,3900,3901,3902,3903,3904,3905,3906,3907,3908,3909,3910,3911,3912,3913,3914,3915,3916,3917,3918,3919,3920,3921,3922,3923,3924,3925,3926,3927,3928,3929,3930,3931,3932,3933,3934,3935,3936,3937,3938,3939,3940,3941,3942,3943,3944,3945,3946,3947,3948,3949,3950,3951,3952,3953,3954,3955,3956,3957,3958,3959,3960,3961,3962,3963,3964,3965,3966,3967,3968,3969,3970,3971,3972,3973,3974,3975,3976,3977,3978,3979,3980,3981,3982,3983,3984,3985,3986,3987,3988,3989,3990,3991,3992,3993,3994,3995,3996,3997,3998,3999,4000,4001,4002,4003,4004,4005,4006,4007,4008,4009,4010,4011,4012,4013,4014,4015,4016,4017,4018,4019,4020,4021,4022,4023,4024,4025,4026,4027,4028,4029,4030,4031,4032,4033,4034,4035,4036,4037,4038,4039,4040,4041,4042,4043,4044,4045,4046,4047,4048,4049,4050,4051,4052,4053,4054,4055,4056,4057,4058,4059,4060,4061,4062,4063,4064,4065,4066,4067,4068,4069,4070,4071,4072,4073,4074,4075,4076,4077,4078,4079,4080,4081,4082,4083,4084,4085,4086,4087,4088,4089,4090,4091,4092,4093,4094,4095,4096,4097,4098,4099,4100,4101,4102,4103,4104,4105,4106,4107,4108,4109,4110,4111,4112,4113,4114,4115,4116,4117,4118,4119,4120,4121,4122,4123,4124,4125,4126,4127,4128,4129,4130,4131,4132,4133,4134,4135,4136,4137,4138,4139,4140,4141,4142,4143,4144,4145,4146,4147,4148,4149,4150,4151,4152,4153,4154,4155,4156,4157,4158,4159,4160,4161,4162,4163,4164,4165,4166,4167,4168,4169,4170,4171,4172,4173,4174,4175,4176,4177,4178,4179,4180,4181,4182,4183,4184,4185,4186,4187,4188,4189,4190,4191,4192,4193,4194,4195,4196,4197,4198,4199,4200,4201,4202,4203,4204,4205,4206,4207,4208,4209,4210,4211,4212,4213,4214,4215,4216,4217,4218,4219,4220,4221,4222,4223,4224,4225,4226,4227,4228,4229,4230,4231,4232,4233,4234,4235,4236,4237,4238,4239,4240,4241,4242,4243,4244,4245,4246,4247,4248,4249,4250,4251,4252,4253,4254,4255,4256,4257,4258,4259,4260,4261,4262,4263,4264,4265,4266,4267,4268,4269,4270,4271,4272,4273,4274,4275,4276,4277,4278,4279,4280,4281,4282,4283,4284,4285,4286,4287,4288,4289,4290,4291,4292,4293,4294,4295,4296,4297,4298,4299,4300,4301,4302,4303,4304,4305,4306,4307,4308,4309,4310,4311,4312,4313,4314,4315,4316,4317,4318,4319,4320,4321,4322,4323,4324,4325,4326,4327,4328,4329,4330,4331,4332,4333,4334,4335,4336,4337,4338,4339,4340,4341,4342,4343,4344,4345,4346,4347,4348,4349,4350,4351,4352,4353,4354,4355,4356,4357,4358,4359,4360,4361,4362,4363,4364,4365,4366,4367,4368,4369,4370,4371,4372,4373,4374,4375,4376,4377,4378,4379,4380,4381,4382,4383,4384,4385,4386,4387,4388,4389,4390,4391,4392,4393,4394,4395,4396,4397,4398,4399,4400,4401,4402,4403,4404,4405,4406,4407,4408,4409,4410,4411,4412,4413,4414,4415,4416,4417,4418,4419,4420,4421,4422,4423,4424,4425,4426,4427,4428,4429,4430,4431,4432,4433,4434,4435,4436,4437,4438,4439,4440,4441,4442,4443,4444,4445,4446,4447,4448,4449,4450,4451,4452,4453,4454,4455,4456,4457,4458,4459,4460,4461,4462,4463,4464,4465,4466,4467,4468,4469,4470,4471,4472,4473,4474,4475,4476,4477,4478,4479,4480,4481,4482,4483,4484,4485,4486,4487,4488,4489,4490,4491,4492,4493,4494,4495,4496,4497,4498,4499,4500,4501,4502,4503,4504,4505,4506,4507,4508,4509,4510,4511,4512,4513,4514,4515,4516,4517,4518,4519,4520,4521,4522,4523,4524,4525,4526,4527,4528,4529,4530,4531,4532,4533,4534,4535,4536,4537,4538,4539,4540,4541,4542,4543,4544,4545,4546,4547,4548,4549,4550,4551,4552,4553,4554,4555,4556,4557,4558,4559,4560,4561,4562,4563,4564,4565,4566,4567,4568,4569,4570,4571,4572,4573,4574,4575,4576,4577,4578,4579,4580,4581,4582,4583,4584,4585,4586,4587,4588,4589,4590,4591,4592,4593,4594,4595,4596,4597,4598,4599,4600,4601,4602,4603,4604,4605,4606,4607,4608,4609,4610,4611,4612,4613,4614,4615,4616,4617,4618,4619,4620,4621,4622,4623,4624,4625);(2,4)(6,4625)(7,4624)(8,4623)(9,4622)(10,4621)(11,4620)(12,4619)(13,4618)(14,4617)(15,4616)(16,4615)(17,4614)(18,4613)(19,4612)(20,4611)(21,4610)(22,4609)(23,4608)(24,4607)(25,4606)(26,4605)(27,4604)(28,4603)(29,4602)(30,4601)(31,4600)(32,4599)(33,4598)(34,4597)(35,4596)(36,4595)(37,4594)(38,4593)(39,4592)(40,4591)(41,4590)(42,4589)(43,4588)(44,4587)(45,4586)(46,4585)(47,4584)(48,4583)(49,4582)(50,4581)(51,4580)(52,4579)(53,4578)(54,4577)(55,4576)(56,4575)(57,4574)(58,4573)(59,4572)(60,4571)(61,4570)(62,4569)(63,4568)(64,4567)(65,4566)(66,4565)(67,4564)(68,4563)(69,4562)(70,4561)(71,4560)(72,4559)(73,4558)(74,4557)(75,4556)(76,4555)(77,4554)(78,4553)(79,4552)(80,4551)(81,4550)(82,4549)(83,4548)(84,4547)(85,4546)(86,4545)(87,4544)(88,4543)(89,4542)(90,4541)(91,4540)(92,4539)(93,4538)(94,4537)(95,4536)(96,4535)(97,4534)(98,4533)(99,4532)(100,4531)(101,4530)(102,4529)(103,4528)(104,4527)(105,4526)(106,4525)(107,4524)(108,4523)(109,4522)(110,4521)(111,4520)(112,4519)(113,4518)(114,4517)(115,4516)(116,4515)(117,4514)(118,4513)(119,4512)(120,4511)(121,4510)(122,4509)(123,4508)(124,4507)(125,4506)(126,4505)(127,4504)(128,4503)(129,4502)(130,4501)(131,4500)(132,4499)(133,4498)(134,4497)(135,4496)(136,4495)(137,4494)(138,4493)(139,4492)(140,4491)(141,4490)(142,4489)(143,4488)(144,4487)(145,4486)(146,4485)(147,4484)(148,4483)(149,4482)(150,4481)(151,4480)(152,4479)(153,4478)(154,4477)(155,4476)(156,4475)(157,4474)(158,4473)(159,4472)(160,4471)(161,4470)(162,4469)(163,4468)(164,4467)(165,4466)(166,4465)(167,4464)(168,4463)(169,4462)(170,4461)(171,4460)(172,4459)(173,4458)(174,4457)(175,4456)(176,4455)(177,4454)(178,4453)(179,4452)(180,4451)(181,4450)(182,4449)(183,4448)(184,4447)(185,4446)(186,4445)(187,4444)(188,4443)(189,4442)(190,4441)(191,4440)(192,4439)(193,4438)(194,4437)(195,4436)(196,4435)(197,4434)(198,4433)(199,4432)(200,4431)(201,4430)(202,4429)(203,4428)(204,4427)(205,4426)(206,4425)(207,4424)(208,4423)(209,4422)(210,4421)(211,4420)(212,4419)(213,4418)(214,4417)(215,4416)(216,4415)(217,4414)(218,4413)(219,4412)(220,4411)(221,4410)(222,4409)(223,4408)(224,4407)(225,4406)(226,4405)(227,4404)(228,4403)(229,4402)(230,4401)(231,4400)(232,4399)(233,4398)(234,4397)(235,4396)(236,4395)(237,4394)(238,4393)(239,4392)(240,4391)(241,4390)(242,4389)(243,4388)(244,4387)(245,4386)(246,4385)(247,4384)(248,4383)(249,4382)(250,4381)(251,4380)(252,4379)(253,4378)(254,4377)(255,4376)(256,4375)(257,4374)(258,4373)(259,4372)(260,4371)(261,4370)(262,4369)(263,4368)(264,4367)(265,4366)(266,4365)(267,4364)(268,4363)(269,4362)(270,4361)(271,4360)(272,4359)(273,4358)(274,4357)(275,4356)(276,4355)(277,4354)(278,4353)(279,4352)(280,4351)(281,4350)(282,4349)(283,4348)(284,4347)(285,4346)(286,4345)(287,4344)(288,4343)(289,4342)(290,4341)(291,4340)(292,4339)(293,4338)(294,4337)(295,4336)(296,4335)(297,4334)(298,4333)(299,4332)(300,4331)(301,4330)(302,4329)(303,4328)(304,4327)(305,4326)(306,4325)(307,4324)(308,4323)(309,4322)(310,4321)(311,4320)(312,4319)(313,4318)(314,4317)(315,4316)(316,4315)(317,4314)(318,4313)(319,4312)(320,4311)(321,4310)(322,4309)(323,4308)(324,4307)(325,4306)(326,4305)(327,4304)(328,4303)(329,4302)(330,4301)(331,4300)(332,4299)(333,4298)(334,4297)(335,4296)(336,4295)(337,4294)(338,4293)(339,4292)(340,4291)(341,4290)(342,4289)(343,4288)(344,4287)(345,4286)(346,4285)(347,4284)(348,4283)(349,4282)(350,4281)(351,4280)(352,4279)(353,4278)(354,4277)(355,4276)(356,4275)(357,4274)(358,4273)(359,4272)(360,4271)(361,4270)(362,4269)(363,4268)(364,4267)(365,4266)(366,4265)(367,4264)(368,4263)(369,4262)(370,4261)(371,4260)(372,4259)(373,4258)(374,4257)(375,4256)(376,4255)(377,4254)(378,4253)(379,4252)(380,4251)(381,4250)(382,4249)(383,4248)(384,4247)(385,4246)(386,4245)(387,4244)(388,4243)(389,4242)(390,4241)(391,4240)(392,4239)(393,4238)(394,4237)(395,4236)(396,4235)(397,4234)(398,4233)(399,4232)(400,4231)(401,4230)(402,4229)(403,4228)(404,4227)(405,4226)(406,4225)(407,4224)(408,4223)(409,4222)(410,4221)(411,4220)(412,4219)(413,4218)(414,4217)(415,4216)(416,4215)(417,4214)(418,4213)(419,4212)(420,4211)(421,4210)(422,4209)(423,4208)(424,4207)(425,4206)(426,4205)(427,4204)(428,4203)(429,4202)(430,4201)(431,4200)(432,4199)(433,4198)(434,4197)(435,4196)(436,4195)(437,4194)(438,4193)(439,4192)(440,4191)(441,4190)(442,4189)(443,4188)(444,4187)(445,4186)(446,4185)(447,4184)(448,4183)(449,4182)(450,4181)(451,4180)(452,4179)(453,4178)(454,4177)(455,4176)(456,4175)(457,4174)(458,4173)(459,4172)(460,4171)(461,4170)(462,4169)(463,4168)(464,4167)(465,4166)(466,4165)(467,4164)(468,4163)(469,4162)(470,4161)(471,4160)(472,4159)(473,4158)(474,4157)(475,4156)(476,4155)(477,4154)(478,4153)(479,4152)(480,4151)(481,4150)(482,4149)(483,4148)(484,4147)(485,4146)(486,4145)(487,4144)(488,4143)(489,4142)(490,4141)(491,4140)(492,4139)(493,4138)(494,4137)(495,4136)(496,4135)(497,4134)(498,4133)(499,4132)(500,4131)(501,4130)(502,4129)(503,4128)(504,4127)(505,4126)(506,4125)(507,4124)(508,4123)(509,4122)(510,4121)(511,4120)(512,4119)(513,4118)(514,4117)(515,4116)(516,4115)(517,4114)(518,4113)(519,4112)(520,4111)(521,4110)(522,4109)(523,4108)(524,4107)(525,4106)(526,4105)(527,4104)(528,4103)(529,4102)(530,4101)(531,4100)(532,4099)(533,4098)(534,4097)(535,4096)(536,4095)(537,4094)(538,4093)(539,4092)(540,4091)(541,4090)(542,4089)(543,4088)(544,4087)(545,4086)(546,4085)(547,4084)(548,4083)(549,4082)(550,4081)(551,4080)(552,4079)(553,4078)(554,4077)(555,4076)(556,4075)(557,4074)(558,4073)(559,4072)(560,4071)(561,4070)(562,4069)(563,4068)(564,4067)(565,4066)(566,4065)(567,4064)(568,4063)(569,4062)(570,4061)(571,4060)(572,4059)(573,4058)(574,4057)(575,4056)(576,4055)(577,4054)(578,4053)(579,4052)(580,4051)(581,4050)(582,4049)(583,4048)(584,4047)(585,4046)(586,4045)(587,4044)(588,4043)(589,4042)(590,4041)(591,4040)(592,4039)(593,4038)(594,4037)(595,4036)(596,4035)(597,4034)(598,4033)(599,4032)(600,4031)(601,4030)(602,4029)(603,4028)(604,4027)(605,4026)(606,4025)(607,4024)(608,4023)(609,4022)(610,4021)(611,4020)(612,4019)(613,4018)(614,4017)(615,4016)(616,4015)(617,4014)(618,4013)(619,4012)(620,4011)(621,4010)(622,4009)(623,4008)(624,4007)(625,4006)(626,4005)(627,4004)(628,4003)(629,4002)(630,4001)(631,4000)(632,3999)(633,3998)(634,3997)(635,3996)(636,3995)(637,3994)(638,3993)(639,3992)(640,3991)(641,3990)(642,3989)(643,3988)(644,3987)(645,3986)(646,3985)(647,3984)(648,3983)(649,3982)(650,3981)(651,3980)(652,3979)(653,3978)(654,3977)(655,3976)(656,3975)(657,3974)(658,3973)(659,3972)(660,3971)(661,3970)(662,3969)(663,3968)(664,3967)(665,3966)(666,3965)(667,3964)(668,3963)(669,3962)(670,3961)(671,3960)(672,3959)(673,3958)(674,3957)(675,3956)(676,3955)(677,3954)(678,3953)(679,3952)(680,3951)(681,3950)(682,3949)(683,3948)(684,3947)(685,3946)(686,3945)(687,3944)(688,3943)(689,3942)(690,3941)(691,3940)(692,3939)(693,3938)(694,3937)(695,3936)(696,3935)(697,3934)(698,3933)(699,3932)(700,3931)(701,3930)(702,3929)(703,3928)(704,3927)(705,3926)(706,3925)(707,3924)(708,3923)(709,3922)(710,3921)(711,3920)(712,3919)(713,3918)(714,3917)(715,3916)(716,3915)(717,3914)(718,3913)(719,3912)(720,3911)(721,3910)(722,3909)(723,3908)(724,3907)(725,3906)(726,3905)(727,3904)(728,3903)(729,3902)(730,3901)(731,3900)(732,3899)(733,3898)(734,3897)(735,3896)(736,3895)(737,3894)(738,3893)(739,3892)(740,3891)(741,3890)(742,3889)(743,3888)(744,3887)(745,3886)(746,3885)(747,3884)(748,3883)(749,3882)(750,3881)(751,3880)(752,3879)(753,3878)(754,3877)(755,3876)(756,3875)(757,3874)(758,3873)(759,3872)(760,3871)(761,3870)(762,3869)(763,3868)(764,3867)(765,3866)(766,3865)(767,3864)(768,3863)(769,3862)(770,3861)(771,3860)(772,3859)(773,3858)(774,3857)(775,3856)(776,3855)(777,3854)(778,3853)(779,3852)(780,3851)(781,3850)(782,3849)(783,3848)(784,3847)(785,3846)(786,3845)(787,3844)(788,3843)(789,3842)(790,3841)(791,3840)(792,3839)(793,3838)(794,3837)(795,3836)(796,3835)(797,3834)(798,3833)(799,3832)(800,3831)(801,3830)(802,3829)(803,3828)(804,3827)(805,3826)(806,3825)(807,3824)(808,3823)(809,3822)(810,3821)(811,3820)(812,3819)(813,3818)(814,3817)(815,3816)(816,3815)(817,3814)(818,3813)(819,3812)(820,3811)(821,3810)(822,3809)(823,3808)(824,3807)(825,3806)(826,3805)(827,3804)(828,3803)(829,3802)(830,3801)(831,3800)(832,3799)(833,3798)(834,3797)(835,3796)(836,3795)(837,3794)(838,3793)(839,3792)(840,3791)(841,3790)(842,3789)(843,3788)(844,3787)(845,3786)(846,3785)(847,3784)(848,3783)(849,3782)(850,3781)(851,3780)(852,3779)(853,3778)(854,3777)(855,3776)(856,3775)(857,3774)(858,3773)(859,3772)(860,3771)(861,3770)(862,3769)(863,3768)(864,3767)(865,3766)(866,3765)(867,3764)(868,3763)(869,3762)(870,3761)(871,3760)(872,3759)(873,3758)(874,3757)(875,3756)(876,3755)(877,3754)(878,3753)(879,3752)(880,3751)(881,3750)(882,3749)(883,3748)(884,3747)(885,3746)(886,3745)(887,3744)(888,3743)(889,3742)(890,3741)(891,3740)(892,3739)(893,3738)(894,3737)(895,3736)(896,3735)(897,3734)(898,3733)(899,3732)(900,3731)(901,3730)(902,3729)(903,3728)(904,3727)(905,3726)(906,3725)(907,3724)(908,3723)(909,3722)(910,3721)(911,3720)(912,3719)(913,3718)(914,3717)(915,3716)(916,3715)(917,3714)(918,3713)(919,3712)(920,3711)(921,3710)(922,3709)(923,3708)(924,3707)(925,3706)(926,3705)(927,3704)(928,3703)(929,3702)(930,3701)(931,3700)(932,3699)(933,3698)(934,3697)(935,3696)(936,3695)(937,3694)(938,3693)(939,3692)(940,3691)(941,3690)(942,3689)(943,3688)(944,3687)(945,3686)(946,3685)(947,3684)(948,3683)(949,3682)(950,3681)(951,3680)(952,3679)(953,3678)(954,3677)(955,3676)(956,3675)(957,3674)(958,3673)(959,3672)(960,3671)(961,3670)(962,3669)(963,3668)(964,3667)(965,3666)(966,3665)(967,3664)(968,3663)(969,3662)(970,3661)(971,3660)(972,3659)(973,3658)(974,3657)(975,3656)(976,3655)(977,3654)(978,3653)(979,3652)(980,3651)(981,3650)(982,3649)(983,3648)(984,3647)(985,3646)(986,3645)(987,3644)(988,3643)(989,3642)(990,3641)(991,3640)(992,3639)(993,3638)(994,3637)(995,3636)(996,3635)(997,3634)(998,3633)(999,3632)(1000,3631)(1001,3630)(1002,3629)(1003,3628)(1004,3627)(1005,3626)(1006,3625)(1007,3624)(1008,3623)(1009,3622)(1010,3621)(1011,3620)(1012,3619)(1013,3618)(1014,3617)(1015,3616)(1016,3615)(1017,3614)(1018,3613)(1019,3612)(1020,3611)(1021,3610)(1022,3609)(1023,3608)(1024,3607)(1025,3606)(1026,3605)(1027,3604)(1028,3603)(1029,3602)(1030,3601)(1031,3600)(1032,3599)(1033,3598)(1034,3597)(1035,3596)(1036,3595)(1037,3594)(1038,3593)(1039,3592)(1040,3591)(1041,3590)(1042,3589)(1043,3588)(1044,3587)(1045,3586)(1046,3585)(1047,3584)(1048,3583)(1049,3582)(1050,3581)(1051,3580)(1052,3579)(1053,3578)(1054,3577)(1055,3576)(1056,3575)(1057,3574)(1058,3573)(1059,3572)(1060,3571)(1061,3570)(1062,3569)(1063,3568)(1064,3567)(1065,3566)(1066,3565)(1067,3564)(1068,3563)(1069,3562)(1070,3561)(1071,3560)(1072,3559)(1073,3558)(1074,3557)(1075,3556)(1076,3555)(1077,3554)(1078,3553)(1079,3552)(1080,3551)(1081,3550)(1082,3549)(1083,3548)(1084,3547)(1085,3546)(1086,3545)(1087,3544)(1088,3543)(1089,3542)(1090,3541)(1091,3540)(1092,3539)(1093,3538)(1094,3537)(1095,3536)(1096,3535)(1097,3534)(1098,3533)(1099,3532)(1100,3531)(1101,3530)(1102,3529)(1103,3528)(1104,3527)(1105,3526)(1106,3525)(1107,3524)(1108,3523)(1109,3522)(1110,3521)(1111,3520)(1112,3519)(1113,3518)(1114,3517)(1115,3516)(1116,3515)(1117,3514)(1118,3513)(1119,3512)(1120,3511)(1121,3510)(1122,3509)(1123,3508)(1124,3507)(1125,3506)(1126,3505)(1127,3504)(1128,3503)(1129,3502)(1130,3501)(1131,3500)(1132,3499)(1133,3498)(1134,3497)(1135,3496)(1136,3495)(1137,3494)(1138,3493)(1139,3492)(1140,3491)(1141,3490)(1142,3489)(1143,3488)(1144,3487)(1145,3486)(1146,3485)(1147,3484)(1148,3483)(1149,3482)(1150,3481)(1151,3480)(1152,3479)(1153,3478)(1154,3477)(1155,3476)(1156,3475)(1157,3474)(1158,3473)(1159,3472)(1160,3471)(1161,3470)(1162,3469)(1163,3468)(1164,3467)(1165,3466)(1166,3465)(1167,3464)(1168,3463)(1169,3462)(1170,3461)(1171,3460)(1172,3459)(1173,3458)(1174,3457)(1175,3456)(1176,3455)(1177,3454)(1178,3453)(1179,3452)(1180,3451)(1181,3450)(1182,3449)(1183,3448)(1184,3447)(1185,3446)(1186,3445)(1187,3444)(1188,3443)(1189,3442)(1190,3441)(1191,3440)(1192,3439)(1193,3438)(1194,3437)(1195,3436)(1196,3435)(1197,3434)(1198,3433)(1199,3432)(1200,3431)(1201,3430)(1202,3429)(1203,3428)(1204,3427)(1205,3426)(1206,3425)(1207,3424)(1208,3423)(1209,3422)(1210,3421)(1211,3420)(1212,3419)(1213,3418)(1214,3417)(1215,3416)(1216,3415)(1217,3414)(1218,3413)(1219,3412)(1220,3411)(1221,3410)(1222,3409)(1223,3408)(1224,3407)(1225,3406)(1226,3405)(1227,3404)(1228,3403)(1229,3402)(1230,3401)(1231,3400)(1232,3399)(1233,3398)(1234,3397)(1235,3396)(1236,3395)(1237,3394)(1238,3393)(1239,3392)(1240,3391)(1241,3390)(1242,3389)(1243,3388)(1244,3387)(1245,3386)(1246,3385)(1247,3384)(1248,3383)(1249,3382)(1250,3381)(1251,3380)(1252,3379)(1253,3378)(1254,3377)(1255,3376)(1256,3375)(1257,3374)(1258,3373)(1259,3372)(1260,3371)(1261,3370)(1262,3369)(1263,3368)(1264,3367)(1265,3366)(1266,3365)(1267,3364)(1268,3363)(1269,3362)(1270,3361)(1271,3360)(1272,3359)(1273,3358)(1274,3357)(1275,3356)(1276,3355)(1277,3354)(1278,3353)(1279,3352)(1280,3351)(1281,3350)(1282,3349)(1283,3348)(1284,3347)(1285,3346)(1286,3345)(1287,3344)(1288,3343)(1289,3342)(1290,3341)(1291,3340)(1292,3339)(1293,3338)(1294,3337)(1295,3336)(1296,3335)(1297,3334)(1298,3333)(1299,3332)(1300,3331)(1301,3330)(1302,3329)(1303,3328)(1304,3327)(1305,3326)(1306,3325)(1307,3324)(1308,3323)(1309,3322)(1310,3321)(1311,3320)(1312,3319)(1313,3318)(1314,3317)(1315,3316)(1316,3315)(1317,3314)(1318,3313)(1319,3312)(1320,3311)(1321,3310)(1322,3309)(1323,3308)(1324,3307)(1325,3306)(1326,3305)(1327,3304)(1328,3303)(1329,3302)(1330,3301)(1331,3300)(1332,3299)(1333,3298)(1334,3297)(1335,3296)(1336,3295)(1337,3294)(1338,3293)(1339,3292)(1340,3291)(1341,3290)(1342,3289)(1343,3288)(1344,3287)(1345,3286)(1346,3285)(1347,3284)(1348,3283)(1349,3282)(1350,3281)(1351,3280)(1352,3279)(1353,3278)(1354,3277)(1355,3276)(1356,3275)(1357,3274)(1358,3273)(1359,3272)(1360,3271)(1361,3270)(1362,3269)(1363,3268)(1364,3267)(1365,3266)(1366,3265)(1367,3264)(1368,3263)(1369,3262)(1370,3261)(1371,3260)(1372,3259)(1373,3258)(1374,3257)(1375,3256)(1376,3255)(1377,3254)(1378,3253)(1379,3252)(1380,3251)(1381,3250)(1382,3249)(1383,3248)(1384,3247)(1385,3246)(1386,3245)(1387,3244)(1388,3243)(1389,3242)(1390,3241)(1391,3240)(1392,3239)(1393,3238)(1394,3237)(1395,3236)(1396,3235)(1397,3234)(1398,3233)(1399,3232)(1400,3231)(1401,3230)(1402,3229)(1403,3228)(1404,3227)(1405,3226)(1406,3225)(1407,3224)(1408,3223)(1409,3222)(1410,3221)(1411,3220)(1412,3219)(1413,3218)(1414,3217)(1415,3216)(1416,3215)(1417,3214)(1418,3213)(1419,3212)(1420,3211)(1421,3210)(1422,3209)(1423,3208)(1424,3207)(1425,3206)(1426,3205)(1427,3204)(1428,3203)(1429,3202)(1430,3201)(1431,3200)(1432,3199)(1433,3198)(1434,3197)(1435,3196)(1436,3195)(1437,3194)(1438,3193)(1439,3192)(1440,3191)(1441,3190)(1442,3189)(1443,3188)(1444,3187)(1445,3186)(1446,3185)(1447,3184)(1448,3183)(1449,3182)(1450,3181)(1451,3180)(1452,3179)(1453,3178)(1454,3177)(1455,3176)(1456,3175)(1457,3174)(1458,3173)(1459,3172)(1460,3171)(1461,3170)(1462,3169)(1463,3168)(1464,3167)(1465,3166)(1466,3165)(1467,3164)(1468,3163)(1469,3162)(1470,3161)(1471,3160)(1472,3159)(1473,3158)(1474,3157)(1475,3156)(1476,3155)(1477,3154)(1478,3153)(1479,3152)(1480,3151)(1481,3150)(1482,3149)(1483,3148)(1484,3147)(1485,3146)(1486,3145)(1487,3144)(1488,3143)(1489,3142)(1490,3141)(1491,3140)(1492,3139)(1493,3138)(1494,3137)(1495,3136)(1496,3135)(1497,3134)(1498,3133)(1499,3132)(1500,3131)(1501,3130)(1502,3129)(1503,3128)(1504,3127)(1505,3126)(1506,3125)(1507,3124)(1508,3123)(1509,3122)(1510,3121)(1511,3120)(1512,3119)(1513,3118)(1514,3117)(1515,3116)(1516,3115)(1517,3114)(1518,3113)(1519,3112)(1520,3111)(1521,3110)(1522,3109)(1523,3108)(1524,3107)(1525,3106)(1526,3105)(1527,3104)(1528,3103)(1529,3102)(1530,3101)(1531,3100)(1532,3099)(1533,3098)(1534,3097)(1535,3096)(1536,3095)(1537,3094)(1538,3093)(1539,3092)(1540,3091)(1541,3090)(1542,3089)(1543,3088)(1544,3087)(1545,3086)(1546,3085)(1547,3084)(1548,3083)(1549,3082)(1550,3081)(1551,3080)(1552,3079)(1553,3078)(1554,3077)(1555,3076)(1556,3075)(1557,3074)(1558,3073)(1559,3072)(1560,3071)(1561,3070)(1562,3069)(1563,3068)(1564,3067)(1565,3066)(1566,3065)(1567,3064)(1568,3063)(1569,3062)(1570,3061)(1571,3060)(1572,3059)(1573,3058)(1574,3057)(1575,3056)(1576,3055)(1577,3054)(1578,3053)(1579,3052)(1580,3051)(1581,3050)(1582,3049)(1583,3048)(1584,3047)(1585,3046)(1586,3045)(1587,3044)(1588,3043)(1589,3042)(1590,3041)(1591,3040)(1592,3039)(1593,3038)(1594,3037)(1595,3036)(1596,3035)(1597,3034)(1598,3033)(1599,3032)(1600,3031)(1601,3030)(1602,3029)(1603,3028)(1604,3027)(1605,3026)(1606,3025)(1607,3024)(1608,3023)(1609,3022)(1610,3021)(1611,3020)(1612,3019)(1613,3018)(1614,3017)(1615,3016)(1616,3015)(1617,3014)(1618,3013)(1619,3012)(1620,3011)(1621,3010)(1622,3009)(1623,3008)(1624,3007)(1625,3006)(1626,3005)(1627,3004)(1628,3003)(1629,3002)(1630,3001)(1631,3000)(1632,2999)(1633,2998)(1634,2997)(1635,2996)(1636,2995)(1637,2994)(1638,2993)(1639,2992)(1640,2991)(1641,2990)(1642,2989)(1643,2988)(1644,2987)(1645,2986)(1646,2985)(1647,2984)(1648,2983)(1649,2982)(1650,2981)(1651,2980)(1652,2979)(1653,2978)(1654,2977)(1655,2976)(1656,2975)(1657,2974)(1658,2973)(1659,2972)(1660,2971)(1661,2970)(1662,2969)(1663,2968)(1664,2967)(1665,2966)(1666,2965)(1667,2964)(1668,2963)(1669,2962)(1670,2961)(1671,2960)(1672,2959)(1673,2958)(1674,2957)(1675,2956)(1676,2955)(1677,2954)(1678,2953)(1679,2952)(1680,2951)(1681,2950)(1682,2949)(1683,2948)(1684,2947)(1685,2946)(1686,2945)(1687,2944)(1688,2943)(1689,2942)(1690,2941)(1691,2940)(1692,2939)(1693,2938)(1694,2937)(1695,2936)(1696,2935)(1697,2934)(1698,2933)(1699,2932)(1700,2931)(1701,2930)(1702,2929)(1703,2928)(1704,2927)(1705,2926)(1706,2925)(1707,2924)(1708,2923)(1709,2922)(1710,2921)(1711,2920)(1712,2919)(1713,2918)(1714,2917)(1715,2916)(1716,2915)(1717,2914)(1718,2913)(1719,2912)(1720,2911)(1721,2910)(1722,2909)(1723,2908)(1724,2907)(1725,2906)(1726,2905)(1727,2904)(1728,2903)(1729,2902)(1730,2901)(1731,2900)(1732,2899)(1733,2898)(1734,2897)(1735,2896)(1736,2895)(1737,2894)(1738,2893)(1739,2892)(1740,2891)(1741,2890)(1742,2889)(1743,2888)(1744,2887)(1745,2886)(1746,2885)(1747,2884)(1748,2883)(1749,2882)(1750,2881)(1751,2880)(1752,2879)(1753,2878)(1754,2877)(1755,2876)(1756,2875)(1757,2874)(1758,2873)(1759,2872)(1760,2871)(1761,2870)(1762,2869)(1763,2868)(1764,2867)(1765,2866)(1766,2865)(1767,2864)(1768,2863)(1769,2862)(1770,2861)(1771,2860)(1772,2859)(1773,2858)(1774,2857)(1775,2856)(1776,2855)(1777,2854)(1778,2853)(1779,2852)(1780,2851)(1781,2850)(1782,2849)(1783,2848)(1784,2847)(1785,2846)(1786,2845)(1787,2844)(1788,2843)(1789,2842)(1790,2841)(1791,2840)(1792,2839)(1793,2838)(1794,2837)(1795,2836)(1796,2835)(1797,2834)(1798,2833)(1799,2832)(1800,2831)(1801,2830)(1802,2829)(1803,2828)(1804,2827)(1805,2826)(1806,2825)(1807,2824)(1808,2823)(1809,2822)(1810,2821)(1811,2820)(1812,2819)(1813,2818)(1814,2817)(1815,2816)(1816,2815)(1817,2814)(1818,2813)(1819,2812)(1820,2811)(1821,2810)(1822,2809)(1823,2808)(1824,2807)(1825,2806)(1826,2805)(1827,2804)(1828,2803)(1829,2802)(1830,2801)(1831,2800)(1832,2799)(1833,2798)(1834,2797)(1835,2796)(1836,2795)(1837,2794)(1838,2793)(1839,2792)(1840,2791)(1841,2790)(1842,2789)(1843,2788)(1844,2787)(1845,2786)(1846,2785)(1847,2784)(1848,2783)(1849,2782)(1850,2781)(1851,2780)(1852,2779)(1853,2778)(1854,2777)(1855,2776)(1856,2775)(1857,2774)(1858,2773)(1859,2772)(1860,2771)(1861,2770)(1862,2769)(1863,2768)(1864,2767)(1865,2766)(1866,2765)(1867,2764)(1868,2763)(1869,2762)(1870,2761)(1871,2760)(1872,2759)(1873,2758)(1874,2757)(1875,2756)(1876,2755)(1877,2754)(1878,2753)(1879,2752)(1880,2751)(1881,2750)(1882,2749)(1883,2748)(1884,2747)(1885,2746)(1886,2745)(1887,2744)(1888,2743)(1889,2742)(1890,2741)(1891,2740)(1892,2739)(1893,2738)(1894,2737)(1895,2736)(1896,2735)(1897,2734)(1898,2733)(1899,2732)(1900,2731)(1901,2730)(1902,2729)(1903,2728)(1904,2727)(1905,2726)(1906,2725)(1907,2724)(1908,2723)(1909,2722)(1910,2721)(1911,2720)(1912,2719)(1913,2718)(1914,2717)(1915,2716)(1916,2715)(1917,2714)(1918,2713)(1919,2712)(1920,2711)(1921,2710)(1922,2709)(1923,2708)(1924,2707)(1925,2706)(1926,2705)(1927,2704)(1928,2703)(1929,2702)(1930,2701)(1931,2700)(1932,2699)(1933,2698)(1934,2697)(1935,2696)(1936,2695)(1937,2694)(1938,2693)(1939,2692)(1940,2691)(1941,2690)(1942,2689)(1943,2688)(1944,2687)(1945,2686)(1946,2685)(1947,2684)(1948,2683)(1949,2682)(1950,2681)(1951,2680)(1952,2679)(1953,2678)(1954,2677)(1955,2676)(1956,2675)(1957,2674)(1958,2673)(1959,2672)(1960,2671)(1961,2670)(1962,2669)(1963,2668)(1964,2667)(1965,2666)(1966,2665)(1967,2664)(1968,2663)(1969,2662)(1970,2661)(1971,2660)(1972,2659)(1973,2658)(1974,2657)(1975,2656)(1976,2655)(1977,2654)(1978,2653)(1979,2652)(1980,2651)(1981,2650)(1982,2649)(1983,2648)(1984,2647)(1985,2646)(1986,2645)(1987,2644)(1988,2643)(1989,2642)(1990,2641)(1991,2640)(1992,2639)(1993,2638)(1994,2637)(1995,2636)(1996,2635)(1997,2634)(1998,2633)(1999,2632)(2000,2631)(2001,2630)(2002,2629)(2003,2628)(2004,2627)(2005,2626)(2006,2625)(2007,2624)(2008,2623)(2009,2622)(2010,2621)(2011,2620)(2012,2619)(2013,2618)(2014,2617)(2015,2616)(2016,2615)(2017,2614)(2018,2613)(2019,2612)(2020,2611)(2021,2610)(2022,2609)(2023,2608)(2024,2607)(2025,2606)(2026,2605)(2027,2604)(2028,2603)(2029,2602)(2030,2601)(2031,2600)(2032,2599)(2033,2598)(2034,2597)(2035,2596)(2036,2595)(2037,2594)(2038,2593)(2039,2592)(2040,2591)(2041,2590)(2042,2589)(2043,2588)(2044,2587)(2045,2586)(2046,2585)(2047,2584)(2048,2583)(2049,2582)(2050,2581)(2051,2580)(2052,2579)(2053,2578)(2054,2577)(2055,2576)(2056,2575)(2057,2574)(2058,2573)(2059,2572)(2060,2571)(2061,2570)(2062,2569)(2063,2568)(2064,2567)(2065,2566)(2066,2565)(2067,2564)(2068,2563)(2069,2562)(2070,2561)(2071,2560)(2072,2559)(2073,2558)(2074,2557)(2075,2556)(2076,2555)(2077,2554)(2078,2553)(2079,2552)(2080,2551)(2081,2550)(2082,2549)(2083,2548)(2084,2547)(2085,2546)(2086,2545)(2087,2544)(2088,2543)(2089,2542)(2090,2541)(2091,2540)(2092,2539)(2093,2538)(2094,2537)(2095,2536)(2096,2535)(2097,2534)(2098,2533)(2099,2532)(2100,2531)(2101,2530)(2102,2529)(2103,2528)(2104,2527)(2105,2526)(2106,2525)(2107,2524)(2108,2523)(2109,2522)(2110,2521)(2111,2520)(2112,2519)(2113,2518)(2114,2517)(2115,2516)(2116,2515)(2117,2514)(2118,2513)(2119,2512)(2120,2511)(2121,2510)(2122,2509)(2123,2508)(2124,2507)(2125,2506)(2126,2505)(2127,2504)(2128,2503)(2129,2502)(2130,2501)(2131,2500)(2132,2499)(2133,2498)(2134,2497)(2135,2496)(2136,2495)(2137,2494)(2138,2493)(2139,2492)(2140,2491)(2141,2490)(2142,2489)(2143,2488)(2144,2487)(2145,2486)(2146,2485)(2147,2484)(2148,2483)(2149,2482)(2150,2481)(2151,2480)(2152,2479)(2153,2478)(2154,2477)(2155,2476)(2156,2475)(2157,2474)(2158,2473)(2159,2472)(2160,2471)(2161,2470)(2162,2469)(2163,2468)(2164,2467)(2165,2466)(2166,2465)(2167,2464)(2168,2463)(2169,2462)(2170,2461)(2171,2460)(2172,2459)(2173,2458)(2174,2457)(2175,2456)(2176,2455)(2177,2454)(2178,2453)(2179,2452)(2180,2451)(2181,2450)(2182,2449)(2183,2448)(2184,2447)(2185,2446)(2186,2445)(2187,2444)(2188,2443)(2189,2442)(2190,2441)(2191,2440)(2192,2439)(2193,2438)(2194,2437)(2195,2436)(2196,2435)(2197,2434)(2198,2433)(2199,2432)(2200,2431)(2201,2430)(2202,2429)(2203,2428)(2204,2427)(2205,2426)(2206,2425)(2207,2424)(2208,2423)(2209,2422)(2210,2421)(2211,2420)(2212,2419)(2213,2418)(2214,2417)(2215,2416)(2216,2415)(2217,2414)(2218,2413)(2219,2412)(2220,2411)(2221,2410)(2222,2409)(2223,2408)(2224,2407)(2225,2406)(2226,2405)(2227,2404)(2228,2403)(2229,2402)(2230,2401)(2231,2400)(2232,2399)(2233,2398)(2234,2397)(2235,2396)(2236,2395)(2237,2394)(2238,2393)(2239,2392)(2240,2391)(2241,2390)(2242,2389)(2243,2388)(2244,2387)(2245,2386)(2246,2385)(2247,2384)(2248,2383)(2249,2382)(2250,2381)(2251,2380)(2252,2379)(2253,2378)(2254,2377)(2255,2376)(2256,2375)(2257,2374)(2258,2373)(2259,2372)(2260,2371)(2261,2370)(2262,2369)(2263,2368)(2264,2367)(2265,2366)(2266,2365)(2267,2364)(2268,2363)(2269,2362)(2270,2361)(2271,2360)(2272,2359)(2273,2358)(2274,2357)(2275,2356)(2276,2355)(2277,2354)(2278,2353)(2279,2352)(2280,2351)(2281,2350)(2282,2349)(2283,2348)(2284,2347)(2285,2346)(2286,2345)(2287,2344)(2288,2343)(2289,2342)(2290,2341)(2291,2340)(2292,2339)(2293,2338)(2294,2337)(2295,2336)(2296,2335)(2297,2334)(2298,2333)(2299,2332)(2300,2331)(2301,2330)(2302,2329)(2303,2328)(2304,2327)(2305,2326)(2306,2325)(2307,2324)(2308,2323)(2309,2322)(2310,2321)(2311,2320)(2312,2319)(2313,2318)(2314,2317)(2315,2316)Polycyclic presentation:
2^3,4621|b^a=bc,d^a=d^4620,d^b=d^46209245 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36968, 10);