Finite Group DatabasebetaFinite Group Databasebeta| order | 35528 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C2 |
| dihedral | D17764 |
| unambiguous semidirect product | C4⋊D4441 |
| Fitting | C4×C4441 ⋊ C2 |
| Sylow | C4441 ⋊ D4 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C2 | C2×D4441 |
| commutator, socle, cosocle | C2×C4441 | C22 |
| Fitting | C4×C4441 | C2 |
| hypercenter | C4 | D4441 |
| hypocenter | C4441 | D4 |
| LCS | G ▷ C2×C4441 ▷ C4441 | |
| UCS | C1 ◁ C2 ◁ C4 | |
16 conjugacy classes of subgroups.
| minimal degree | μ(G) = 4445 |
| transitive degree | μt(G) = 17764 |
A minimal faithful permutation representation — 2 generators on 4445 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);(2,4)(6,4445)(7,4444)(8,4443)(9,4442)(10,4441)(11,4440)(12,4439)(13,4438)(14,4437)(15,4436)(16,4435)(17,4434)(18,4433)(19,4432)(20,4431)(21,4430)(22,4429)(23,4428)(24,4427)(25,4426)(26,4425)(27,4424)(28,4423)(29,4422)(30,4421)(31,4420)(32,4419)(33,4418)(34,4417)(35,4416)(36,4415)(37,4414)(38,4413)(39,4412)(40,4411)(41,4410)(42,4409)(43,4408)(44,4407)(45,4406)(46,4405)(47,4404)(48,4403)(49,4402)(50,4401)(51,4400)(52,4399)(53,4398)(54,4397)(55,4396)(56,4395)(57,4394)(58,4393)(59,4392)(60,4391)(61,4390)(62,4389)(63,4388)(64,4387)(65,4386)(66,4385)(67,4384)(68,4383)(69,4382)(70,4381)(71,4380)(72,4379)(73,4378)(74,4377)(75,4376)(76,4375)(77,4374)(78,4373)(79,4372)(80,4371)(81,4370)(82,4369)(83,4368)(84,4367)(85,4366)(86,4365)(87,4364)(88,4363)(89,4362)(90,4361)(91,4360)(92,4359)(93,4358)(94,4357)(95,4356)(96,4355)(97,4354)(98,4353)(99,4352)(100,4351)(101,4350)(102,4349)(103,4348)(104,4347)(105,4346)(106,4345)(107,4344)(108,4343)(109,4342)(110,4341)(111,4340)(112,4339)(113,4338)(114,4337)(115,4336)(116,4335)(117,4334)(118,4333)(119,4332)(120,4331)(121,4330)(122,4329)(123,4328)(124,4327)(125,4326)(126,4325)(127,4324)(128,4323)(129,4322)(130,4321)(131,4320)(132,4319)(133,4318)(134,4317)(135,4316)(136,4315)(137,4314)(138,4313)(139,4312)(140,4311)(141,4310)(142,4309)(143,4308)(144,4307)(145,4306)(146,4305)(147,4304)(148,4303)(149,4302)(150,4301)(151,4300)(152,4299)(153,4298)(154,4297)(155,4296)(156,4295)(157,4294)(158,4293)(159,4292)(160,4291)(161,4290)(162,4289)(163,4288)(164,4287)(165,4286)(166,4285)(167,4284)(168,4283)(169,4282)(170,4281)(171,4280)(172,4279)(173,4278)(174,4277)(175,4276)(176,4275)(177,4274)(178,4273)(179,4272)(180,4271)(181,4270)(182,4269)(183,4268)(184,4267)(185,4266)(186,4265)(187,4264)(188,4263)(189,4262)(190,4261)(191,4260)(192,4259)(193,4258)(194,4257)(195,4256)(196,4255)(197,4254)(198,4253)(199,4252)(200,4251)(201,4250)(202,4249)(203,4248)(204,4247)(205,4246)(206,4245)(207,4244)(208,4243)(209,4242)(210,4241)(211,4240)(212,4239)(213,4238)(214,4237)(215,4236)(216,4235)(217,4234)(218,4233)(219,4232)(220,4231)(221,4230)(222,4229)(223,4228)(224,4227)(225,4226)(226,4225)(227,4224)(228,4223)(229,4222)(230,4221)(231,4220)(232,4219)(233,4218)(234,4217)(235,4216)(236,4215)(237,4214)(238,4213)(239,4212)(240,4211)(241,4210)(242,4209)(243,4208)(244,4207)(245,4206)(246,4205)(247,4204)(248,4203)(249,4202)(250,4201)(251,4200)(252,4199)(253,4198)(254,4197)(255,4196)(256,4195)(257,4194)(258,4193)(259,4192)(260,4191)(261,4190)(262,4189)(263,4188)(264,4187)(265,4186)(266,4185)(267,4184)(268,4183)(269,4182)(270,4181)(271,4180)(272,4179)(273,4178)(274,4177)(275,4176)(276,4175)(277,4174)(278,4173)(279,4172)(280,4171)(281,4170)(282,4169)(283,4168)(284,4167)(285,4166)(286,4165)(287,4164)(288,4163)(289,4162)(290,4161)(291,4160)(292,4159)(293,4158)(294,4157)(295,4156)(296,4155)(297,4154)(298,4153)(299,4152)(300,4151)(301,4150)(302,4149)(303,4148)(304,4147)(305,4146)(306,4145)(307,4144)(308,4143)(309,4142)(310,4141)(311,4140)(312,4139)(313,4138)(314,4137)(315,4136)(316,4135)(317,4134)(318,4133)(319,4132)(320,4131)(321,4130)(322,4129)(323,4128)(324,4127)(325,4126)(326,4125)(327,4124)(328,4123)(329,4122)(330,4121)(331,4120)(332,4119)(333,4118)(334,4117)(335,4116)(336,4115)(337,4114)(338,4113)(339,4112)(340,4111)(341,4110)(342,4109)(343,4108)(344,4107)(345,4106)(346,4105)(347,4104)(348,4103)(349,4102)(350,4101)(351,4100)(352,4099)(353,4098)(354,4097)(355,4096)(356,4095)(357,4094)(358,4093)(359,4092)(360,4091)(361,4090)(362,4089)(363,4088)(364,4087)(365,4086)(366,4085)(367,4084)(368,4083)(369,4082)(370,4081)(371,4080)(372,4079)(373,4078)(374,4077)(375,4076)(376,4075)(377,4074)(378,4073)(379,4072)(380,4071)(381,4070)(382,4069)(383,4068)(384,4067)(385,4066)(386,4065)(387,4064)(388,4063)(389,4062)(390,4061)(391,4060)(392,4059)(393,4058)(394,4057)(395,4056)(396,4055)(397,4054)(398,4053)(399,4052)(400,4051)(401,4050)(402,4049)(403,4048)(404,4047)(405,4046)(406,4045)(407,4044)(408,4043)(409,4042)(410,4041)(411,4040)(412,4039)(413,4038)(414,4037)(415,4036)(416,4035)(417,4034)(418,4033)(419,4032)(420,4031)(421,4030)(422,4029)(423,4028)(424,4027)(425,4026)(426,4025)(427,4024)(428,4023)(429,4022)(430,4021)(431,4020)(432,4019)(433,4018)(434,4017)(435,4016)(436,4015)(437,4014)(438,4013)(439,4012)(440,4011)(441,4010)(442,4009)(443,4008)(444,4007)(445,4006)(446,4005)(447,4004)(448,4003)(449,4002)(450,4001)(451,4000)(452,3999)(453,3998)(454,3997)(455,3996)(456,3995)(457,3994)(458,3993)(459,3992)(460,3991)(461,3990)(462,3989)(463,3988)(464,3987)(465,3986)(466,3985)(467,3984)(468,3983)(469,3982)(470,3981)(471,3980)(472,3979)(473,3978)(474,3977)(475,3976)(476,3975)(477,3974)(478,3973)(479,3972)(480,3971)(481,3970)(482,3969)(483,3968)(484,3967)(485,3966)(486,3965)(487,3964)(488,3963)(489,3962)(490,3961)(491,3960)(492,3959)(493,3958)(494,3957)(495,3956)(496,3955)(497,3954)(498,3953)(499,3952)(500,3951)(501,3950)(502,3949)(503,3948)(504,3947)(505,3946)(506,3945)(507,3944)(508,3943)(509,3942)(510,3941)(511,3940)(512,3939)(513,3938)(514,3937)(515,3936)(516,3935)(517,3934)(518,3933)(519,3932)(520,3931)(521,3930)(522,3929)(523,3928)(524,3927)(525,3926)(526,3925)(527,3924)(528,3923)(529,3922)(530,3921)(531,3920)(532,3919)(533,3918)(534,3917)(535,3916)(536,3915)(537,3914)(538,3913)(539,3912)(540,3911)(541,3910)(542,3909)(543,3908)(544,3907)(545,3906)(546,3905)(547,3904)(548,3903)(549,3902)(550,3901)(551,3900)(552,3899)(553,3898)(554,3897)(555,3896)(556,3895)(557,3894)(558,3893)(559,3892)(560,3891)(561,3890)(562,3889)(563,3888)(564,3887)(565,3886)(566,3885)(567,3884)(568,3883)(569,3882)(570,3881)(571,3880)(572,3879)(573,3878)(574,3877)(575,3876)(576,3875)(577,3874)(578,3873)(579,3872)(580,3871)(581,3870)(582,3869)(583,3868)(584,3867)(585,3866)(586,3865)(587,3864)(588,3863)(589,3862)(590,3861)(591,3860)(592,3859)(593,3858)(594,3857)(595,3856)(596,3855)(597,3854)(598,3853)(599,3852)(600,3851)(601,3850)(602,3849)(603,3848)(604,3847)(605,3846)(606,3845)(607,3844)(608,3843)(609,3842)(610,3841)(611,3840)(612,3839)(613,3838)(614,3837)(615,3836)(616,3835)(617,3834)(618,3833)(619,3832)(620,3831)(621,3830)(622,3829)(623,3828)(624,3827)(625,3826)(626,3825)(627,3824)(628,3823)(629,3822)(630,3821)(631,3820)(632,3819)(633,3818)(634,3817)(635,3816)(636,3815)(637,3814)(638,3813)(639,3812)(640,3811)(641,3810)(642,3809)(643,3808)(644,3807)(645,3806)(646,3805)(647,3804)(648,3803)(649,3802)(650,3801)(651,3800)(652,3799)(653,3798)(654,3797)(655,3796)(656,3795)(657,3794)(658,3793)(659,3792)(660,3791)(661,3790)(662,3789)(663,3788)(664,3787)(665,3786)(666,3785)(667,3784)(668,3783)(669,3782)(670,3781)(671,3780)(672,3779)(673,3778)(674,3777)(675,3776)(676,3775)(677,3774)(678,3773)(679,3772)(680,3771)(681,3770)(682,3769)(683,3768)(684,3767)(685,3766)(686,3765)(687,3764)(688,3763)(689,3762)(690,3761)(691,3760)(692,3759)(693,3758)(694,3757)(695,3756)(696,3755)(697,3754)(698,3753)(699,3752)(700,3751)(701,3750)(702,3749)(703,3748)(704,3747)(705,3746)(706,3745)(707,3744)(708,3743)(709,3742)(710,3741)(711,3740)(712,3739)(713,3738)(714,3737)(715,3736)(716,3735)(717,3734)(718,3733)(719,3732)(720,3731)(721,3730)(722,3729)(723,3728)(724,3727)(725,3726)(726,3725)(727,3724)(728,3723)(729,3722)(730,3721)(731,3720)(732,3719)(733,3718)(734,3717)(735,3716)(736,3715)(737,3714)(738,3713)(739,3712)(740,3711)(741,3710)(742,3709)(743,3708)(744,3707)(745,3706)(746,3705)(747,3704)(748,3703)(749,3702)(750,3701)(751,3700)(752,3699)(753,3698)(754,3697)(755,3696)(756,3695)(757,3694)(758,3693)(759,3692)(760,3691)(761,3690)(762,3689)(763,3688)(764,3687)(765,3686)(766,3685)(767,3684)(768,3683)(769,3682)(770,3681)(771,3680)(772,3679)(773,3678)(774,3677)(775,3676)(776,3675)(777,3674)(778,3673)(779,3672)(780,3671)(781,3670)(782,3669)(783,3668)(784,3667)(785,3666)(786,3665)(787,3664)(788,3663)(789,3662)(790,3661)(791,3660)(792,3659)(793,3658)(794,3657)(795,3656)(796,3655)(797,3654)(798,3653)(799,3652)(800,3651)(801,3650)(802,3649)(803,3648)(804,3647)(805,3646)(806,3645)(807,3644)(808,3643)(809,3642)(810,3641)(811,3640)(812,3639)(813,3638)(814,3637)(815,3636)(816,3635)(817,3634)(818,3633)(819,3632)(820,3631)(821,3630)(822,3629)(823,3628)(824,3627)(825,3626)(826,3625)(827,3624)(828,3623)(829,3622)(830,3621)(831,3620)(832,3619)(833,3618)(834,3617)(835,3616)(836,3615)(837,3614)(838,3613)(839,3612)(840,3611)(841,3610)(842,3609)(843,3608)(844,3607)(845,3606)(846,3605)(847,3604)(848,3603)(849,3602)(850,3601)(851,3600)(852,3599)(853,3598)(854,3597)(855,3596)(856,3595)(857,3594)(858,3593)(859,3592)(860,3591)(861,3590)(862,3589)(863,3588)(864,3587)(865,3586)(866,3585)(867,3584)(868,3583)(869,3582)(870,3581)(871,3580)(872,3579)(873,3578)(874,3577)(875,3576)(876,3575)(877,3574)(878,3573)(879,3572)(880,3571)(881,3570)(882,3569)(883,3568)(884,3567)(885,3566)(886,3565)(887,3564)(888,3563)(889,3562)(890,3561)(891,3560)(892,3559)(893,3558)(894,3557)(895,3556)(896,3555)(897,3554)(898,3553)(899,3552)(900,3551)(901,3550)(902,3549)(903,3548)(904,3547)(905,3546)(906,3545)(907,3544)(908,3543)(909,3542)(910,3541)(911,3540)(912,3539)(913,3538)(914,3537)(915,3536)(916,3535)(917,3534)(918,3533)(919,3532)(920,3531)(921,3530)(922,3529)(923,3528)(924,3527)(925,3526)(926,3525)(927,3524)(928,3523)(929,3522)(930,3521)(931,3520)(932,3519)(933,3518)(934,3517)(935,3516)(936,3515)(937,3514)(938,3513)(939,3512)(940,3511)(941,3510)(942,3509)(943,3508)(944,3507)(945,3506)(946,3505)(947,3504)(948,3503)(949,3502)(950,3501)(951,3500)(952,3499)(953,3498)(954,3497)(955,3496)(956,3495)(957,3494)(958,3493)(959,3492)(960,3491)(961,3490)(962,3489)(963,3488)(964,3487)(965,3486)(966,3485)(967,3484)(968,3483)(969,3482)(970,3481)(971,3480)(972,3479)(973,3478)(974,3477)(975,3476)(976,3475)(977,3474)(978,3473)(979,3472)(980,3471)(981,3470)(982,3469)(983,3468)(984,3467)(985,3466)(986,3465)(987,3464)(988,3463)(989,3462)(990,3461)(991,3460)(992,3459)(993,3458)(994,3457)(995,3456)(996,3455)(997,3454)(998,3453)(999,3452)(1000,3451)(1001,3450)(1002,3449)(1003,3448)(1004,3447)(1005,3446)(1006,3445)(1007,3444)(1008,3443)(1009,3442)(1010,3441)(1011,3440)(1012,3439)(1013,3438)(1014,3437)(1015,3436)(1016,3435)(1017,3434)(1018,3433)(1019,3432)(1020,3431)(1021,3430)(1022,3429)(1023,3428)(1024,3427)(1025,3426)(1026,3425)(1027,3424)(1028,3423)(1029,3422)(1030,3421)(1031,3420)(1032,3419)(1033,3418)(1034,3417)(1035,3416)(1036,3415)(1037,3414)(1038,3413)(1039,3412)(1040,3411)(1041,3410)(1042,3409)(1043,3408)(1044,3407)(1045,3406)(1046,3405)(1047,3404)(1048,3403)(1049,3402)(1050,3401)(1051,3400)(1052,3399)(1053,3398)(1054,3397)(1055,3396)(1056,3395)(1057,3394)(1058,3393)(1059,3392)(1060,3391)(1061,3390)(1062,3389)(1063,3388)(1064,3387)(1065,3386)(1066,3385)(1067,3384)(1068,3383)(1069,3382)(1070,3381)(1071,3380)(1072,3379)(1073,3378)(1074,3377)(1075,3376)(1076,3375)(1077,3374)(1078,3373)(1079,3372)(1080,3371)(1081,3370)(1082,3369)(1083,3368)(1084,3367)(1085,3366)(1086,3365)(1087,3364)(1088,3363)(1089,3362)(1090,3361)(1091,3360)(1092,3359)(1093,3358)(1094,3357)(1095,3356)(1096,3355)(1097,3354)(1098,3353)(1099,3352)(1100,3351)(1101,3350)(1102,3349)(1103,3348)(1104,3347)(1105,3346)(1106,3345)(1107,3344)(1108,3343)(1109,3342)(1110,3341)(1111,3340)(1112,3339)(1113,3338)(1114,3337)(1115,3336)(1116,3335)(1117,3334)(1118,3333)(1119,3332)(1120,3331)(1121,3330)(1122,3329)(1123,3328)(1124,3327)(1125,3326)(1126,3325)(1127,3324)(1128,3323)(1129,3322)(1130,3321)(1131,3320)(1132,3319)(1133,3318)(1134,3317)(1135,3316)(1136,3315)(1137,3314)(1138,3313)(1139,3312)(1140,3311)(1141,3310)(1142,3309)(1143,3308)(1144,3307)(1145,3306)(1146,3305)(1147,3304)(1148,3303)(1149,3302)(1150,3301)(1151,3300)(1152,3299)(1153,3298)(1154,3297)(1155,3296)(1156,3295)(1157,3294)(1158,3293)(1159,3292)(1160,3291)(1161,3290)(1162,3289)(1163,3288)(1164,3287)(1165,3286)(1166,3285)(1167,3284)(1168,3283)(1169,3282)(1170,3281)(1171,3280)(1172,3279)(1173,3278)(1174,3277)(1175,3276)(1176,3275)(1177,3274)(1178,3273)(1179,3272)(1180,3271)(1181,3270)(1182,3269)(1183,3268)(1184,3267)(1185,3266)(1186,3265)(1187,3264)(1188,3263)(1189,3262)(1190,3261)(1191,3260)(1192,3259)(1193,3258)(1194,3257)(1195,3256)(1196,3255)(1197,3254)(1198,3253)(1199,3252)(1200,3251)(1201,3250)(1202,3249)(1203,3248)(1204,3247)(1205,3246)(1206,3245)(1207,3244)(1208,3243)(1209,3242)(1210,3241)(1211,3240)(1212,3239)(1213,3238)(1214,3237)(1215,3236)(1216,3235)(1217,3234)(1218,3233)(1219,3232)(1220,3231)(1221,3230)(1222,3229)(1223,3228)(1224,3227)(1225,3226)(1226,3225)(1227,3224)(1228,3223)(1229,3222)(1230,3221)(1231,3220)(1232,3219)(1233,3218)(1234,3217)(1235,3216)(1236,3215)(1237,3214)(1238,3213)(1239,3212)(1240,3211)(1241,3210)(1242,3209)(1243,3208)(1244,3207)(1245,3206)(1246,3205)(1247,3204)(1248,3203)(1249,3202)(1250,3201)(1251,3200)(1252,3199)(1253,3198)(1254,3197)(1255,3196)(1256,3195)(1257,3194)(1258,3193)(1259,3192)(1260,3191)(1261,3190)(1262,3189)(1263,3188)(1264,3187)(1265,3186)(1266,3185)(1267,3184)(1268,3183)(1269,3182)(1270,3181)(1271,3180)(1272,3179)(1273,3178)(1274,3177)(1275,3176)(1276,3175)(1277,3174)(1278,3173)(1279,3172)(1280,3171)(1281,3170)(1282,3169)(1283,3168)(1284,3167)(1285,3166)(1286,3165)(1287,3164)(1288,3163)(1289,3162)(1290,3161)(1291,3160)(1292,3159)(1293,3158)(1294,3157)(1295,3156)(1296,3155)(1297,3154)(1298,3153)(1299,3152)(1300,3151)(1301,3150)(1302,3149)(1303,3148)(1304,3147)(1305,3146)(1306,3145)(1307,3144)(1308,3143)(1309,3142)(1310,3141)(1311,3140)(1312,3139)(1313,3138)(1314,3137)(1315,3136)(1316,3135)(1317,3134)(1318,3133)(1319,3132)(1320,3131)(1321,3130)(1322,3129)(1323,3128)(1324,3127)(1325,3126)(1326,3125)(1327,3124)(1328,3123)(1329,3122)(1330,3121)(1331,3120)(1332,3119)(1333,3118)(1334,3117)(1335,3116)(1336,3115)(1337,3114)(1338,3113)(1339,3112)(1340,3111)(1341,3110)(1342,3109)(1343,3108)(1344,3107)(1345,3106)(1346,3105)(1347,3104)(1348,3103)(1349,3102)(1350,3101)(1351,3100)(1352,3099)(1353,3098)(1354,3097)(1355,3096)(1356,3095)(1357,3094)(1358,3093)(1359,3092)(1360,3091)(1361,3090)(1362,3089)(1363,3088)(1364,3087)(1365,3086)(1366,3085)(1367,3084)(1368,3083)(1369,3082)(1370,3081)(1371,3080)(1372,3079)(1373,3078)(1374,3077)(1375,3076)(1376,3075)(1377,3074)(1378,3073)(1379,3072)(1380,3071)(1381,3070)(1382,3069)(1383,3068)(1384,3067)(1385,3066)(1386,3065)(1387,3064)(1388,3063)(1389,3062)(1390,3061)(1391,3060)(1392,3059)(1393,3058)(1394,3057)(1395,3056)(1396,3055)(1397,3054)(1398,3053)(1399,3052)(1400,3051)(1401,3050)(1402,3049)(1403,3048)(1404,3047)(1405,3046)(1406,3045)(1407,3044)(1408,3043)(1409,3042)(1410,3041)(1411,3040)(1412,3039)(1413,3038)(1414,3037)(1415,3036)(1416,3035)(1417,3034)(1418,3033)(1419,3032)(1420,3031)(1421,3030)(1422,3029)(1423,3028)(1424,3027)(1425,3026)(1426,3025)(1427,3024)(1428,3023)(1429,3022)(1430,3021)(1431,3020)(1432,3019)(1433,3018)(1434,3017)(1435,3016)(1436,3015)(1437,3014)(1438,3013)(1439,3012)(1440,3011)(1441,3010)(1442,3009)(1443,3008)(1444,3007)(1445,3006)(1446,3005)(1447,3004)(1448,3003)(1449,3002)(1450,3001)(1451,3000)(1452,2999)(1453,2998)(1454,2997)(1455,2996)(1456,2995)(1457,2994)(1458,2993)(1459,2992)(1460,2991)(1461,2990)(1462,2989)(1463,2988)(1464,2987)(1465,2986)(1466,2985)(1467,2984)(1468,2983)(1469,2982)(1470,2981)(1471,2980)(1472,2979)(1473,2978)(1474,2977)(1475,2976)(1476,2975)(1477,2974)(1478,2973)(1479,2972)(1480,2971)(1481,2970)(1482,2969)(1483,2968)(1484,2967)(1485,2966)(1486,2965)(1487,2964)(1488,2963)(1489,2962)(1490,2961)(1491,2960)(1492,2959)(1493,2958)(1494,2957)(1495,2956)(1496,2955)(1497,2954)(1498,2953)(1499,2952)(1500,2951)(1501,2950)(1502,2949)(1503,2948)(1504,2947)(1505,2946)(1506,2945)(1507,2944)(1508,2943)(1509,2942)(1510,2941)(1511,2940)(1512,2939)(1513,2938)(1514,2937)(1515,2936)(1516,2935)(1517,2934)(1518,2933)(1519,2932)(1520,2931)(1521,2930)(1522,2929)(1523,2928)(1524,2927)(1525,2926)(1526,2925)(1527,2924)(1528,2923)(1529,2922)(1530,2921)(1531,2920)(1532,2919)(1533,2918)(1534,2917)(1535,2916)(1536,2915)(1537,2914)(1538,2913)(1539,2912)(1540,2911)(1541,2910)(1542,2909)(1543,2908)(1544,2907)(1545,2906)(1546,2905)(1547,2904)(1548,2903)(1549,2902)(1550,2901)(1551,2900)(1552,2899)(1553,2898)(1554,2897)(1555,2896)(1556,2895)(1557,2894)(1558,2893)(1559,2892)(1560,2891)(1561,2890)(1562,2889)(1563,2888)(1564,2887)(1565,2886)(1566,2885)(1567,2884)(1568,2883)(1569,2882)(1570,2881)(1571,2880)(1572,2879)(1573,2878)(1574,2877)(1575,2876)(1576,2875)(1577,2874)(1578,2873)(1579,2872)(1580,2871)(1581,2870)(1582,2869)(1583,2868)(1584,2867)(1585,2866)(1586,2865)(1587,2864)(1588,2863)(1589,2862)(1590,2861)(1591,2860)(1592,2859)(1593,2858)(1594,2857)(1595,2856)(1596,2855)(1597,2854)(1598,2853)(1599,2852)(1600,2851)(1601,2850)(1602,2849)(1603,2848)(1604,2847)(1605,2846)(1606,2845)(1607,2844)(1608,2843)(1609,2842)(1610,2841)(1611,2840)(1612,2839)(1613,2838)(1614,2837)(1615,2836)(1616,2835)(1617,2834)(1618,2833)(1619,2832)(1620,2831)(1621,2830)(1622,2829)(1623,2828)(1624,2827)(1625,2826)(1626,2825)(1627,2824)(1628,2823)(1629,2822)(1630,2821)(1631,2820)(1632,2819)(1633,2818)(1634,2817)(1635,2816)(1636,2815)(1637,2814)(1638,2813)(1639,2812)(1640,2811)(1641,2810)(1642,2809)(1643,2808)(1644,2807)(1645,2806)(1646,2805)(1647,2804)(1648,2803)(1649,2802)(1650,2801)(1651,2800)(1652,2799)(1653,2798)(1654,2797)(1655,2796)(1656,2795)(1657,2794)(1658,2793)(1659,2792)(1660,2791)(1661,2790)(1662,2789)(1663,2788)(1664,2787)(1665,2786)(1666,2785)(1667,2784)(1668,2783)(1669,2782)(1670,2781)(1671,2780)(1672,2779)(1673,2778)(1674,2777)(1675,2776)(1676,2775)(1677,2774)(1678,2773)(1679,2772)(1680,2771)(1681,2770)(1682,2769)(1683,2768)(1684,2767)(1685,2766)(1686,2765)(1687,2764)(1688,2763)(1689,2762)(1690,2761)(1691,2760)(1692,2759)(1693,2758)(1694,2757)(1695,2756)(1696,2755)(1697,2754)(1698,2753)(1699,2752)(1700,2751)(1701,2750)(1702,2749)(1703,2748)(1704,2747)(1705,2746)(1706,2745)(1707,2744)(1708,2743)(1709,2742)(1710,2741)(1711,2740)(1712,2739)(1713,2738)(1714,2737)(1715,2736)(1716,2735)(1717,2734)(1718,2733)(1719,2732)(1720,2731)(1721,2730)(1722,2729)(1723,2728)(1724,2727)(1725,2726)(1726,2725)(1727,2724)(1728,2723)(1729,2722)(1730,2721)(1731,2720)(1732,2719)(1733,2718)(1734,2717)(1735,2716)(1736,2715)(1737,2714)(1738,2713)(1739,2712)(1740,2711)(1741,2710)(1742,2709)(1743,2708)(1744,2707)(1745,2706)(1746,2705)(1747,2704)(1748,2703)(1749,2702)(1750,2701)(1751,2700)(1752,2699)(1753,2698)(1754,2697)(1755,2696)(1756,2695)(1757,2694)(1758,2693)(1759,2692)(1760,2691)(1761,2690)(1762,2689)(1763,2688)(1764,2687)(1765,2686)(1766,2685)(1767,2684)(1768,2683)(1769,2682)(1770,2681)(1771,2680)(1772,2679)(1773,2678)(1774,2677)(1775,2676)(1776,2675)(1777,2674)(1778,2673)(1779,2672)(1780,2671)(1781,2670)(1782,2669)(1783,2668)(1784,2667)(1785,2666)(1786,2665)(1787,2664)(1788,2663)(1789,2662)(1790,2661)(1791,2660)(1792,2659)(1793,2658)(1794,2657)(1795,2656)(1796,2655)(1797,2654)(1798,2653)(1799,2652)(1800,2651)(1801,2650)(1802,2649)(1803,2648)(1804,2647)(1805,2646)(1806,2645)(1807,2644)(1808,2643)(1809,2642)(1810,2641)(1811,2640)(1812,2639)(1813,2638)(1814,2637)(1815,2636)(1816,2635)(1817,2634)(1818,2633)(1819,2632)(1820,2631)(1821,2630)(1822,2629)(1823,2628)(1824,2627)(1825,2626)(1826,2625)(1827,2624)(1828,2623)(1829,2622)(1830,2621)(1831,2620)(1832,2619)(1833,2618)(1834,2617)(1835,2616)(1836,2615)(1837,2614)(1838,2613)(1839,2612)(1840,2611)(1841,2610)(1842,2609)(1843,2608)(1844,2607)(1845,2606)(1846,2605)(1847,2604)(1848,2603)(1849,2602)(1850,2601)(1851,2600)(1852,2599)(1853,2598)(1854,2597)(1855,2596)(1856,2595)(1857,2594)(1858,2593)(1859,2592)(1860,2591)(1861,2590)(1862,2589)(1863,2588)(1864,2587)(1865,2586)(1866,2585)(1867,2584)(1868,2583)(1869,2582)(1870,2581)(1871,2580)(1872,2579)(1873,2578)(1874,2577)(1875,2576)(1876,2575)(1877,2574)(1878,2573)(1879,2572)(1880,2571)(1881,2570)(1882,2569)(1883,2568)(1884,2567)(1885,2566)(1886,2565)(1887,2564)(1888,2563)(1889,2562)(1890,2561)(1891,2560)(1892,2559)(1893,2558)(1894,2557)(1895,2556)(1896,2555)(1897,2554)(1898,2553)(1899,2552)(1900,2551)(1901,2550)(1902,2549)(1903,2548)(1904,2547)(1905,2546)(1906,2545)(1907,2544)(1908,2543)(1909,2542)(1910,2541)(1911,2540)(1912,2539)(1913,2538)(1914,2537)(1915,2536)(1916,2535)(1917,2534)(1918,2533)(1919,2532)(1920,2531)(1921,2530)(1922,2529)(1923,2528)(1924,2527)(1925,2526)(1926,2525)(1927,2524)(1928,2523)(1929,2522)(1930,2521)(1931,2520)(1932,2519)(1933,2518)(1934,2517)(1935,2516)(1936,2515)(1937,2514)(1938,2513)(1939,2512)(1940,2511)(1941,2510)(1942,2509)(1943,2508)(1944,2507)(1945,2506)(1946,2505)(1947,2504)(1948,2503)(1949,2502)(1950,2501)(1951,2500)(1952,2499)(1953,2498)(1954,2497)(1955,2496)(1956,2495)(1957,2494)(1958,2493)(1959,2492)(1960,2491)(1961,2490)(1962,2489)(1963,2488)(1964,2487)(1965,2486)(1966,2485)(1967,2484)(1968,2483)(1969,2482)(1970,2481)(1971,2480)(1972,2479)(1973,2478)(1974,2477)(1975,2476)(1976,2475)(1977,2474)(1978,2473)(1979,2472)(1980,2471)(1981,2470)(1982,2469)(1983,2468)(1984,2467)(1985,2466)(1986,2465)(1987,2464)(1988,2463)(1989,2462)(1990,2461)(1991,2460)(1992,2459)(1993,2458)(1994,2457)(1995,2456)(1996,2455)(1997,2454)(1998,2453)(1999,2452)(2000,2451)(2001,2450)(2002,2449)(2003,2448)(2004,2447)(2005,2446)(2006,2445)(2007,2444)(2008,2443)(2009,2442)(2010,2441)(2011,2440)(2012,2439)(2013,2438)(2014,2437)(2015,2436)(2016,2435)(2017,2434)(2018,2433)(2019,2432)(2020,2431)(2021,2430)(2022,2429)(2023,2428)(2024,2427)(2025,2426)(2026,2425)(2027,2424)(2028,2423)(2029,2422)(2030,2421)(2031,2420)(2032,2419)(2033,2418)(2034,2417)(2035,2416)(2036,2415)(2037,2414)(2038,2413)(2039,2412)(2040,2411)(2041,2410)(2042,2409)(2043,2408)(2044,2407)(2045,2406)(2046,2405)(2047,2404)(2048,2403)(2049,2402)(2050,2401)(2051,2400)(2052,2399)(2053,2398)(2054,2397)(2055,2396)(2056,2395)(2057,2394)(2058,2393)(2059,2392)(2060,2391)(2061,2390)(2062,2389)(2063,2388)(2064,2387)(2065,2386)(2066,2385)(2067,2384)(2068,2383)(2069,2382)(2070,2381)(2071,2380)(2072,2379)(2073,2378)(2074,2377)(2075,2376)(2076,2375)(2077,2374)(2078,2373)(2079,2372)(2080,2371)(2081,2370)(2082,2369)(2083,2368)(2084,2367)(2085,2366)(2086,2365)(2087,2364)(2088,2363)(2089,2362)(2090,2361)(2091,2360)(2092,2359)(2093,2358)(2094,2357)(2095,2356)(2096,2355)(2097,2354)(2098,2353)(2099,2352)(2100,2351)(2101,2350)(2102,2349)(2103,2348)(2104,2347)(2105,2346)(2106,2345)(2107,2344)(2108,2343)(2109,2342)(2110,2341)(2111,2340)(2112,2339)(2113,2338)(2114,2337)(2115,2336)(2116,2335)(2117,2334)(2118,2333)(2119,2332)(2120,2331)(2121,2330)(2122,2329)(2123,2328)(2124,2327)(2125,2326)(2126,2325)(2127,2324)(2128,2323)(2129,2322)(2130,2321)(2131,2320)(2132,2319)(2133,2318)(2134,2317)(2135,2316)(2136,2315)(2137,2314)(2138,2313)(2139,2312)(2140,2311)(2141,2310)(2142,2309)(2143,2308)(2144,2307)(2145,2306)(2146,2305)(2147,2304)(2148,2303)(2149,2302)(2150,2301)(2151,2300)(2152,2299)(2153,2298)(2154,2297)(2155,2296)(2156,2295)(2157,2294)(2158,2293)(2159,2292)(2160,2291)(2161,2290)(2162,2289)(2163,2288)(2164,2287)(2165,2286)(2166,2285)(2167,2284)(2168,2283)(2169,2282)(2170,2281)(2171,2280)(2172,2279)(2173,2278)(2174,2277)(2175,2276)(2176,2275)(2177,2274)(2178,2273)(2179,2272)(2180,2271)(2181,2270)(2182,2269)(2183,2268)(2184,2267)(2185,2266)(2186,2265)(2187,2264)(2188,2263)(2189,2262)(2190,2261)(2191,2260)(2192,2259)(2193,2258)(2194,2257)(2195,2256)(2196,2255)(2197,2254)(2198,2253)(2199,2252)(2200,2251)(2201,2250)(2202,2249)(2203,2248)(2204,2247)(2205,2246)(2206,2245)(2207,2244)(2208,2243)(2209,2242)(2210,2241)(2211,2240)(2212,2239)(2213,2238)(2214,2237)(2215,2236)(2216,2235)(2217,2234)(2218,2233)(2219,2232)(2220,2231)(2221,2230)(2222,2229)(2223,2228)(2224,2227)(2225,2226)Polycyclic presentation:
2^3,4441|b^a=bc,d^a=d^4440,d^b=d^44408885 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35528, 10);