D₁₇₄₅₅ #46853272

order	34910
automorphism	?
homology	Abelianization (H₁) = C₂ · Schur multiplier (H₂) = C₁

Aliases

dihedral	D₁₇₄₅₅
unambiguous semidirect product	C₅⋊D₃₄₉₁
unambiguous semidirect product	C₃₄₉₁⋊D₅

Splittings

Fitting, socle, derived, Hall	C₅×C₃₄₉₁ ⋊ C₂
Sylow	C₃₄₉₁ ⋊ D₅
Sylow	C₅ ⋊ D₃₄₉₁

Subgroups

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, cosocle, hypocenter	C₅×C₃₄₉₁	C₂
LCS	G ▷ C₅×C₃₄₉₁
UCS	C₁

8 conjugacy classes of subgroups.

Full subgroup data →

Presentation

minimal degree	μ(G) = 3496
transitive degree	μ_t(G) = 17455

A minimal faithful permutation representation — 2 generators on 3496 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);(2,5)(3,4)(7,3496)(8,3495)(9,3494)(10,3493)(11,3492)(12,3491)(13,3490)(14,3489)(15,3488)(16,3487)(17,3486)(18,3485)(19,3484)(20,3483)(21,3482)(22,3481)(23,3480)(24,3479)(25,3478)(26,3477)(27,3476)(28,3475)(29,3474)(30,3473)(31,3472)(32,3471)(33,3470)(34,3469)(35,3468)(36,3467)(37,3466)(38,3465)(39,3464)(40,3463)(41,3462)(42,3461)(43,3460)(44,3459)(45,3458)(46,3457)(47,3456)(48,3455)(49,3454)(50,3453)(51,3452)(52,3451)(53,3450)(54,3449)(55,3448)(56,3447)(57,3446)(58,3445)(59,3444)(60,3443)(61,3442)(62,3441)(63,3440)(64,3439)(65,3438)(66,3437)(67,3436)(68,3435)(69,3434)(70,3433)(71,3432)(72,3431)(73,3430)(74,3429)(75,3428)(76,3427)(77,3426)(78,3425)(79,3424)(80,3423)(81,3422)(82,3421)(83,3420)(84,3419)(85,3418)(86,3417)(87,3416)(88,3415)(89,3414)(90,3413)(91,3412)(92,3411)(93,3410)(94,3409)(95,3408)(96,3407)(97,3406)(98,3405)(99,3404)(100,3403)(101,3402)(102,3401)(103,3400)(104,3399)(105,3398)(106,3397)(107,3396)(108,3395)(109,3394)(110,3393)(111,3392)(112,3391)(113,3390)(114,3389)(115,3388)(116,3387)(117,3386)(118,3385)(119,3384)(120,3383)(121,3382)(122,3381)(123,3380)(124,3379)(125,3378)(126,3377)(127,3376)(128,3375)(129,3374)(130,3373)(131,3372)(132,3371)(133,3370)(134,3369)(135,3368)(136,3367)(137,3366)(138,3365)(139,3364)(140,3363)(141,3362)(142,3361)(143,3360)(144,3359)(145,3358)(146,3357)(147,3356)(148,3355)(149,3354)(150,3353)(151,3352)(152,3351)(153,3350)(154,3349)(155,3348)(156,3347)(157,3346)(158,3345)(159,3344)(160,3343)(161,3342)(162,3341)(163,3340)(164,3339)(165,3338)(166,3337)(167,3336)(168,3335)(169,3334)(170,3333)(171,3332)(172,3331)(173,3330)(174,3329)(175,3328)(176,3327)(177,3326)(178,3325)(179,3324)(180,3323)(181,3322)(182,3321)(183,3320)(184,3319)(185,3318)(186,3317)(187,3316)(188,3315)(189,3314)(190,3313)(191,3312)(192,3311)(193,3310)(194,3309)(195,3308)(196,3307)(197,3306)(198,3305)(199,3304)(200,3303)(201,3302)(202,3301)(203,3300)(204,3299)(205,3298)(206,3297)(207,3296)(208,3295)(209,3294)(210,3293)(211,3292)(212,3291)(213,3290)(214,3289)(215,3288)(216,3287)(217,3286)(218,3285)(219,3284)(220,3283)(221,3282)(222,3281)(223,3280)(224,3279)(225,3278)(226,3277)(227,3276)(228,3275)(229,3274)(230,3273)(231,3272)(232,3271)(233,3270)(234,3269)(235,3268)(236,3267)(237,3266)(238,3265)(239,3264)(240,3263)(241,3262)(242,3261)(243,3260)(244,3259)(245,3258)(246,3257)(247,3256)(248,3255)(249,3254)(250,3253)(251,3252)(252,3251)(253,3250)(254,3249)(255,3248)(256,3247)(257,3246)(258,3245)(259,3244)(260,3243)(261,3242)(262,3241)(263,3240)(264,3239)(265,3238)(266,3237)(267,3236)(268,3235)(269,3234)(270,3233)(271,3232)(272,3231)(273,3230)(274,3229)(275,3228)(276,3227)(277,3226)(278,3225)(279,3224)(280,3223)(281,3222)(282,3221)(283,3220)(284,3219)(285,3218)(286,3217)(287,3216)(288,3215)(289,3214)(290,3213)(291,3212)(292,3211)(293,3210)(294,3209)(295,3208)(296,3207)(297,3206)(298,3205)(299,3204)(300,3203)(301,3202)(302,3201)(303,3200)(304,3199)(305,3198)(306,3197)(307,3196)(308,3195)(309,3194)(310,3193)(311,3192)(312,3191)(313,3190)(314,3189)(315,3188)(316,3187)(317,3186)(318,3185)(319,3184)(320,3183)(321,3182)(322,3181)(323,3180)(324,3179)(325,3178)(326,3177)(327,3176)(328,3175)(329,3174)(330,3173)(331,3172)(332,3171)(333,3170)(334,3169)(335,3168)(336,3167)(337,3166)(338,3165)(339,3164)(340,3163)(341,3162)(342,3161)(343,3160)(344,3159)(345,3158)(346,3157)(347,3156)(348,3155)(349,3154)(350,3153)(351,3152)(352,3151)(353,3150)(354,3149)(355,3148)(356,3147)(357,3146)(358,3145)(359,3144)(360,3143)(361,3142)(362,3141)(363,3140)(364,3139)(365,3138)(366,3137)(367,3136)(368,3135)(369,3134)(370,3133)(371,3132)(372,3131)(373,3130)(374,3129)(375,3128)(376,3127)(377,3126)(378,3125)(379,3124)(380,3123)(381,3122)(382,3121)(383,3120)(384,3119)(385,3118)(386,3117)(387,3116)(388,3115)(389,3114)(390,3113)(391,3112)(392,3111)(393,3110)(394,3109)(395,3108)(396,3107)(397,3106)(398,3105)(399,3104)(400,3103)(401,3102)(402,3101)(403,3100)(404,3099)(405,3098)(406,3097)(407,3096)(408,3095)(409,3094)(410,3093)(411,3092)(412,3091)(413,3090)(414,3089)(415,3088)(416,3087)(417,3086)(418,3085)(419,3084)(420,3083)(421,3082)(422,3081)(423,3080)(424,3079)(425,3078)(426,3077)(427,3076)(428,3075)(429,3074)(430,3073)(431,3072)(432,3071)(433,3070)(434,3069)(435,3068)(436,3067)(437,3066)(438,3065)(439,3064)(440,3063)(441,3062)(442,3061)(443,3060)(444,3059)(445,3058)(446,3057)(447,3056)(448,3055)(449,3054)(450,3053)(451,3052)(452,3051)(453,3050)(454,3049)(455,3048)(456,3047)(457,3046)(458,3045)(459,3044)(460,3043)(461,3042)(462,3041)(463,3040)(464,3039)(465,3038)(466,3037)(467,3036)(468,3035)(469,3034)(470,3033)(471,3032)(472,3031)(473,3030)(474,3029)(475,3028)(476,3027)(477,3026)(478,3025)(479,3024)(480,3023)(481,3022)(482,3021)(483,3020)(484,3019)(485,3018)(486,3017)(487,3016)(488,3015)(489,3014)(490,3013)(491,3012)(492,3011)(493,3010)(494,3009)(495,3008)(496,3007)(497,3006)(498,3005)(499,3004)(500,3003)(501,3002)(502,3001)(503,3000)(504,2999)(505,2998)(506,2997)(507,2996)(508,2995)(509,2994)(510,2993)(511,2992)(512,2991)(513,2990)(514,2989)(515,2988)(516,2987)(517,2986)(518,2985)(519,2984)(520,2983)(521,2982)(522,2981)(523,2980)(524,2979)(525,2978)(526,2977)(527,2976)(528,2975)(529,2974)(530,2973)(531,2972)(532,2971)(533,2970)(534,2969)(535,2968)(536,2967)(537,2966)(538,2965)(539,2964)(540,2963)(541,2962)(542,2961)(543,2960)(544,2959)(545,2958)(546,2957)(547,2956)(548,2955)(549,2954)(550,2953)(551,2952)(552,2951)(553,2950)(554,2949)(555,2948)(556,2947)(557,2946)(558,2945)(559,2944)(560,2943)(561,2942)(562,2941)(563,2940)(564,2939)(565,2938)(566,2937)(567,2936)(568,2935)(569,2934)(570,2933)(571,2932)(572,2931)(573,2930)(574,2929)(575,2928)(576,2927)(577,2926)(578,2925)(579,2924)(580,2923)(581,2922)(582,2921)(583,2920)(584,2919)(585,2918)(586,2917)(587,2916)(588,2915)(589,2914)(590,2913)(591,2912)(592,2911)(593,2910)(594,2909)(595,2908)(596,2907)(597,2906)(598,2905)(599,2904)(600,2903)(601,2902)(602,2901)(603,2900)(604,2899)(605,2898)(606,2897)(607,2896)(608,2895)(609,2894)(610,2893)(611,2892)(612,2891)(613,2890)(614,2889)(615,2888)(616,2887)(617,2886)(618,2885)(619,2884)(620,2883)(621,2882)(622,2881)(623,2880)(624,2879)(625,2878)(626,2877)(627,2876)(628,2875)(629,2874)(630,2873)(631,2872)(632,2871)(633,2870)(634,2869)(635,2868)(636,2867)(637,2866)(638,2865)(639,2864)(640,2863)(641,2862)(642,2861)(643,2860)(644,2859)(645,2858)(646,2857)(647,2856)(648,2855)(649,2854)(650,2853)(651,2852)(652,2851)(653,2850)(654,2849)(655,2848)(656,2847)(657,2846)(658,2845)(659,2844)(660,2843)(661,2842)(662,2841)(663,2840)(664,2839)(665,2838)(666,2837)(667,2836)(668,2835)(669,2834)(670,2833)(671,2832)(672,2831)(673,2830)(674,2829)(675,2828)(676,2827)(677,2826)(678,2825)(679,2824)(680,2823)(681,2822)(682,2821)(683,2820)(684,2819)(685,2818)(686,2817)(687,2816)(688,2815)(689,2814)(690,2813)(691,2812)(692,2811)(693,2810)(694,2809)(695,2808)(696,2807)(697,2806)(698,2805)(699,2804)(700,2803)(701,2802)(702,2801)(703,2800)(704,2799)(705,2798)(706,2797)(707,2796)(708,2795)(709,2794)(710,2793)(711,2792)(712,2791)(713,2790)(714,2789)(715,2788)(716,2787)(717,2786)(718,2785)(719,2784)(720,2783)(721,2782)(722,2781)(723,2780)(724,2779)(725,2778)(726,2777)(727,2776)(728,2775)(729,2774)(730,2773)(731,2772)(732,2771)(733,2770)(734,2769)(735,2768)(736,2767)(737,2766)(738,2765)(739,2764)(740,2763)(741,2762)(742,2761)(743,2760)(744,2759)(745,2758)(746,2757)(747,2756)(748,2755)(749,2754)(750,2753)(751,2752)(752,2751)(753,2750)(754,2749)(755,2748)(756,2747)(757,2746)(758,2745)(759,2744)(760,2743)(761,2742)(762,2741)(763,2740)(764,2739)(765,2738)(766,2737)(767,2736)(768,2735)(769,2734)(770,2733)(771,2732)(772,2731)(773,2730)(774,2729)(775,2728)(776,2727)(777,2726)(778,2725)(779,2724)(780,2723)(781,2722)(782,2721)(783,2720)(784,2719)(785,2718)(786,2717)(787,2716)(788,2715)(789,2714)(790,2713)(791,2712)(792,2711)(793,2710)(794,2709)(795,2708)(796,2707)(797,2706)(798,2705)(799,2704)(800,2703)(801,2702)(802,2701)(803,2700)(804,2699)(805,2698)(806,2697)(807,2696)(808,2695)(809,2694)(810,2693)(811,2692)(812,2691)(813,2690)(814,2689)(815,2688)(816,2687)(817,2686)(818,2685)(819,2684)(820,2683)(821,2682)(822,2681)(823,2680)(824,2679)(825,2678)(826,2677)(827,2676)(828,2675)(829,2674)(830,2673)(831,2672)(832,2671)(833,2670)(834,2669)(835,2668)(836,2667)(837,2666)(838,2665)(839,2664)(840,2663)(841,2662)(842,2661)(843,2660)(844,2659)(845,2658)(846,2657)(847,2656)(848,2655)(849,2654)(850,2653)(851,2652)(852,2651)(853,2650)(854,2649)(855,2648)(856,2647)(857,2646)(858,2645)(859,2644)(860,2643)(861,2642)(862,2641)(863,2640)(864,2639)(865,2638)(866,2637)(867,2636)(868,2635)(869,2634)(870,2633)(871,2632)(872,2631)(873,2630)(874,2629)(875,2628)(876,2627)(877,2626)(878,2625)(879,2624)(880,2623)(881,2622)(882,2621)(883,2620)(884,2619)(885,2618)(886,2617)(887,2616)(888,2615)(889,2614)(890,2613)(891,2612)(892,2611)(893,2610)(894,2609)(895,2608)(896,2607)(897,2606)(898,2605)(899,2604)(900,2603)(901,2602)(902,2601)(903,2600)(904,2599)(905,2598)(906,2597)(907,2596)(908,2595)(909,2594)(910,2593)(911,2592)(912,2591)(913,2590)(914,2589)(915,2588)(916,2587)(917,2586)(918,2585)(919,2584)(920,2583)(921,2582)(922,2581)(923,2580)(924,2579)(925,2578)(926,2577)(927,2576)(928,2575)(929,2574)(930,2573)(931,2572)(932,2571)(933,2570)(934,2569)(935,2568)(936,2567)(937,2566)(938,2565)(939,2564)(940,2563)(941,2562)(942,2561)(943,2560)(944,2559)(945,2558)(946,2557)(947,2556)(948,2555)(949,2554)(950,2553)(951,2552)(952,2551)(953,2550)(954,2549)(955,2548)(956,2547)(957,2546)(958,2545)(959,2544)(960,2543)(961,2542)(962,2541)(963,2540)(964,2539)(965,2538)(966,2537)(967,2536)(968,2535)(969,2534)(970,2533)(971,2532)(972,2531)(973,2530)(974,2529)(975,2528)(976,2527)(977,2526)(978,2525)(979,2524)(980,2523)(981,2522)(982,2521)(983,2520)(984,2519)(985,2518)(986,2517)(987,2516)(988,2515)(989,2514)(990,2513)(991,2512)(992,2511)(993,2510)(994,2509)(995,2508)(996,2507)(997,2506)(998,2505)(999,2504)(1000,2503)(1001,2502)(1002,2501)(1003,2500)(1004,2499)(1005,2498)(1006,2497)(1007,2496)(1008,2495)(1009,2494)(1010,2493)(1011,2492)(1012,2491)(1013,2490)(1014,2489)(1015,2488)(1016,2487)(1017,2486)(1018,2485)(1019,2484)(1020,2483)(1021,2482)(1022,2481)(1023,2480)(1024,2479)(1025,2478)(1026,2477)(1027,2476)(1028,2475)(1029,2474)(1030,2473)(1031,2472)(1032,2471)(1033,2470)(1034,2469)(1035,2468)(1036,2467)(1037,2466)(1038,2465)(1039,2464)(1040,2463)(1041,2462)(1042,2461)(1043,2460)(1044,2459)(1045,2458)(1046,2457)(1047,2456)(1048,2455)(1049,2454)(1050,2453)(1051,2452)(1052,2451)(1053,2450)(1054,2449)(1055,2448)(1056,2447)(1057,2446)(1058,2445)(1059,2444)(1060,2443)(1061,2442)(1062,2441)(1063,2440)(1064,2439)(1065,2438)(1066,2437)(1067,2436)(1068,2435)(1069,2434)(1070,2433)(1071,2432)(1072,2431)(1073,2430)(1074,2429)(1075,2428)(1076,2427)(1077,2426)(1078,2425)(1079,2424)(1080,2423)(1081,2422)(1082,2421)(1083,2420)(1084,2419)(1085,2418)(1086,2417)(1087,2416)(1088,2415)(1089,2414)(1090,2413)(1091,2412)(1092,2411)(1093,2410)(1094,2409)(1095,2408)(1096,2407)(1097,2406)(1098,2405)(1099,2404)(1100,2403)(1101,2402)(1102,2401)(1103,2400)(1104,2399)(1105,2398)(1106,2397)(1107,2396)(1108,2395)(1109,2394)(1110,2393)(1111,2392)(1112,2391)(1113,2390)(1114,2389)(1115,2388)(1116,2387)(1117,2386)(1118,2385)(1119,2384)(1120,2383)(1121,2382)(1122,2381)(1123,2380)(1124,2379)(1125,2378)(1126,2377)(1127,2376)(1128,2375)(1129,2374)(1130,2373)(1131,2372)(1132,2371)(1133,2370)(1134,2369)(1135,2368)(1136,2367)(1137,2366)(1138,2365)(1139,2364)(1140,2363)(1141,2362)(1142,2361)(1143,2360)(1144,2359)(1145,2358)(1146,2357)(1147,2356)(1148,2355)(1149,2354)(1150,2353)(1151,2352)(1152,2351)(1153,2350)(1154,2349)(1155,2348)(1156,2347)(1157,2346)(1158,2345)(1159,2344)(1160,2343)(1161,2342)(1162,2341)(1163,2340)(1164,2339)(1165,2338)(1166,2337)(1167,2336)(1168,2335)(1169,2334)(1170,2333)(1171,2332)(1172,2331)(1173,2330)(1174,2329)(1175,2328)(1176,2327)(1177,2326)(1178,2325)(1179,2324)(1180,2323)(1181,2322)(1182,2321)(1183,2320)(1184,2319)(1185,2318)(1186,2317)(1187,2316)(1188,2315)(1189,2314)(1190,2313)(1191,2312)(1192,2311)(1193,2310)(1194,2309)(1195,2308)(1196,2307)(1197,2306)(1198,2305)(1199,2304)(1200,2303)(1201,2302)(1202,2301)(1203,2300)(1204,2299)(1205,2298)(1206,2297)(1207,2296)(1208,2295)(1209,2294)(1210,2293)(1211,2292)(1212,2291)(1213,2290)(1214,2289)(1215,2288)(1216,2287)(1217,2286)(1218,2285)(1219,2284)(1220,2283)(1221,2282)(1222,2281)(1223,2280)(1224,2279)(1225,2278)(1226,2277)(1227,2276)(1228,2275)(1229,2274)(1230,2273)(1231,2272)(1232,2271)(1233,2270)(1234,2269)(1235,2268)(1236,2267)(1237,2266)(1238,2265)(1239,2264)(1240,2263)(1241,2262)(1242,2261)(1243,2260)(1244,2259)(1245,2258)(1246,2257)(1247,2256)(1248,2255)(1249,2254)(1250,2253)(1251,2252)(1252,2251)(1253,2250)(1254,2249)(1255,2248)(1256,2247)(1257,2246)(1258,2245)(1259,2244)(1260,2243)(1261,2242)(1262,2241)(1263,2240)(1264,2239)(1265,2238)(1266,2237)(1267,2236)(1268,2235)(1269,2234)(1270,2233)(1271,2232)(1272,2231)(1273,2230)(1274,2229)(1275,2228)(1276,2227)(1277,2226)(1278,2225)(1279,2224)(1280,2223)(1281,2222)(1282,2221)(1283,2220)(1284,2219)(1285,2218)(1286,2217)(1287,2216)(1288,2215)(1289,2214)(1290,2213)(1291,2212)(1292,2211)(1293,2210)(1294,2209)(1295,2208)(1296,2207)(1297,2206)(1298,2205)(1299,2204)(1300,2203)(1301,2202)(1302,2201)(1303,2200)(1304,2199)(1305,2198)(1306,2197)(1307,2196)(1308,2195)(1309,2194)(1310,2193)(1311,2192)(1312,2191)(1313,2190)(1314,2189)(1315,2188)(1316,2187)(1317,2186)(1318,2185)(1319,2184)(1320,2183)(1321,2182)(1322,2181)(1323,2180)(1324,2179)(1325,2178)(1326,2177)(1327,2176)(1328,2175)(1329,2174)(1330,2173)(1331,2172)(1332,2171)(1333,2170)(1334,2169)(1335,2168)(1336,2167)(1337,2166)(1338,2165)(1339,2164)(1340,2163)(1341,2162)(1342,2161)(1343,2160)(1344,2159)(1345,2158)(1346,2157)(1347,2156)(1348,2155)(1349,2154)(1350,2153)(1351,2152)(1352,2151)(1353,2150)(1354,2149)(1355,2148)(1356,2147)(1357,2146)(1358,2145)(1359,2144)(1360,2143)(1361,2142)(1362,2141)(1363,2140)(1364,2139)(1365,2138)(1366,2137)(1367,2136)(1368,2135)(1369,2134)(1370,2133)(1371,2132)(1372,2131)(1373,2130)(1374,2129)(1375,2128)(1376,2127)(1377,2126)(1378,2125)(1379,2124)(1380,2123)(1381,2122)(1382,2121)(1383,2120)(1384,2119)(1385,2118)(1386,2117)(1387,2116)(1388,2115)(1389,2114)(1390,2113)(1391,2112)(1392,2111)(1393,2110)(1394,2109)(1395,2108)(1396,2107)(1397,2106)(1398,2105)(1399,2104)(1400,2103)(1401,2102)(1402,2101)(1403,2100)(1404,2099)(1405,2098)(1406,2097)(1407,2096)(1408,2095)(1409,2094)(1410,2093)(1411,2092)(1412,2091)(1413,2090)(1414,2089)(1415,2088)(1416,2087)(1417,2086)(1418,2085)(1419,2084)(1420,2083)(1421,2082)(1422,2081)(1423,2080)(1424,2079)(1425,2078)(1426,2077)(1427,2076)(1428,2075)(1429,2074)(1430,2073)(1431,2072)(1432,2071)(1433,2070)(1434,2069)(1435,2068)(1436,2067)(1437,2066)(1438,2065)(1439,2064)(1440,2063)(1441,2062)(1442,2061)(1443,2060)(1444,2059)(1445,2058)(1446,2057)(1447,2056)(1448,2055)(1449,2054)(1450,2053)(1451,2052)(1452,2051)(1453,2050)(1454,2049)(1455,2048)(1456,2047)(1457,2046)(1458,2045)(1459,2044)(1460,2043)(1461,2042)(1462,2041)(1463,2040)(1464,2039)(1465,2038)(1466,2037)(1467,2036)(1468,2035)(1469,2034)(1470,2033)(1471,2032)(1472,2031)(1473,2030)(1474,2029)(1475,2028)(1476,2027)(1477,2026)(1478,2025)(1479,2024)(1480,2023)(1481,2022)(1482,2021)(1483,2020)(1484,2019)(1485,2018)(1486,2017)(1487,2016)(1488,2015)(1489,2014)(1490,2013)(1491,2012)(1492,2011)(1493,2010)(1494,2009)(1495,2008)(1496,2007)(1497,2006)(1498,2005)(1499,2004)(1500,2003)(1501,2002)(1502,2001)(1503,2000)(1504,1999)(1505,1998)(1506,1997)(1507,1996)(1508,1995)(1509,1994)(1510,1993)(1511,1992)(1512,1991)(1513,1990)(1514,1989)(1515,1988)(1516,1987)(1517,1986)(1518,1985)(1519,1984)(1520,1983)(1521,1982)(1522,1981)(1523,1980)(1524,1979)(1525,1978)(1526,1977)(1527,1976)(1528,1975)(1529,1974)(1530,1973)(1531,1972)(1532,1971)(1533,1970)(1534,1969)(1535,1968)(1536,1967)(1537,1966)(1538,1965)(1539,1964)(1540,1963)(1541,1962)(1542,1961)(1543,1960)(1544,1959)(1545,1958)(1546,1957)(1547,1956)(1548,1955)(1549,1954)(1550,1953)(1551,1952)(1552,1951)(1553,1950)(1554,1949)(1555,1948)(1556,1947)(1557,1946)(1558,1945)(1559,1944)(1560,1943)(1561,1942)(1562,1941)(1563,1940)(1564,1939)(1565,1938)(1566,1937)(1567,1936)(1568,1935)(1569,1934)(1570,1933)(1571,1932)(1572,1931)(1573,1930)(1574,1929)(1575,1928)(1576,1927)(1577,1926)(1578,1925)(1579,1924)(1580,1923)(1581,1922)(1582,1921)(1583,1920)(1584,1919)(1585,1918)(1586,1917)(1587,1916)(1588,1915)(1589,1914)(1590,1913)(1591,1912)(1592,1911)(1593,1910)(1594,1909)(1595,1908)(1596,1907)(1597,1906)(1598,1905)(1599,1904)(1600,1903)(1601,1902)(1602,1901)(1603,1900)(1604,1899)(1605,1898)(1606,1897)(1607,1896)(1608,1895)(1609,1894)(1610,1893)(1611,1892)(1612,1891)(1613,1890)(1614,1889)(1615,1888)(1616,1887)(1617,1886)(1618,1885)(1619,1884)(1620,1883)(1621,1882)(1622,1881)(1623,1880)(1624,1879)(1625,1878)(1626,1877)(1627,1876)(1628,1875)(1629,1874)(1630,1873)(1631,1872)(1632,1871)(1633,1870)(1634,1869)(1635,1868)(1636,1867)(1637,1866)(1638,1865)(1639,1864)(1640,1863)(1641,1862)(1642,1861)(1643,1860)(1644,1859)(1645,1858)(1646,1857)(1647,1856)(1648,1855)(1649,1854)(1650,1853)(1651,1852)(1652,1851)(1653,1850)(1654,1849)(1655,1848)(1656,1847)(1657,1846)(1658,1845)(1659,1844)(1660,1843)(1661,1842)(1662,1841)(1663,1840)(1664,1839)(1665,1838)(1666,1837)(1667,1836)(1668,1835)(1669,1834)(1670,1833)(1671,1832)(1672,1831)(1673,1830)(1674,1829)(1675,1828)(1676,1827)(1677,1826)(1678,1825)(1679,1824)(1680,1823)(1681,1822)(1682,1821)(1683,1820)(1684,1819)(1685,1818)(1686,1817)(1687,1816)(1688,1815)(1689,1814)(1690,1813)(1691,1812)(1692,1811)(1693,1810)(1694,1809)(1695,1808)(1696,1807)(1697,1806)(1698,1805)(1699,1804)(1700,1803)(1701,1802)(1702,1801)(1703,1800)(1704,1799)(1705,1798)(1706,1797)(1707,1796)(1708,1795)(1709,1794)(1710,1793)(1711,1792)(1712,1791)(1713,1790)(1714,1789)(1715,1788)(1716,1787)(1717,1786)(1718,1785)(1719,1784)(1720,1783)(1721,1782)(1722,1781)(1723,1780)(1724,1779)(1725,1778)(1726,1777)(1727,1776)(1728,1775)(1729,1774)(1730,1773)(1731,1772)(1732,1771)(1733,1770)(1734,1769)(1735,1768)(1736,1767)(1737,1766)(1738,1765)(1739,1764)(1740,1763)(1741,1762)(1742,1761)(1743,1760)(1744,1759)(1745,1758)(1746,1757)(1747,1756)(1748,1755)(1749,1754)(1750,1753)(1751,1752)

Polycyclic presentation:

2,5,3491|b^a=b^4,c^a=c^3490

Conjugacy classes & character table

8729 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34910, 5);

D17455 #46853272