D₁₅₈₁₉ #44539505

order	31638
automorphism	?
homology	Abelianization (H₁) = C₂ · Schur multiplier (H₂) = C₁

Aliases

dihedral	D₁₅₈₁₉
unambiguous semidirect product	C₃⋊D₅₂₇₃
unambiguous semidirect product	C₅₂₇₃⋊D₃

Splittings

Fitting, socle, derived, Hall	C₃×C₅₂₇₃ ⋊ C₂
Sylow	C₅₂₇₃ ⋊ D₃
Sylow	C₃ ⋊ D₅₂₇₃

Subgroups

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, cosocle, hypocenter	C₃×C₅₂₇₃	C₂
LCS	G ▷ C₃×C₅₂₇₃
UCS	C₁

8 conjugacy classes of subgroups.

Full subgroup data →

Presentation

minimal degree	μ(G) = 5276
transitive degree	μ_t(G) = 15819

A minimal faithful permutation representation — 2 generators on 5276 points:

(1,2,3)(4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2070,2071,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,2180,2181,2182,2183,2184,2185,2186,2187,2188,2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,2217,2218,2219,2220,2221,2222,2223,2224,2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2236,2237,2238,2239,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,2253,2254,2255,2256,2257,2258,2259,2260,2261,2262,2263,2264,2265,2266,2267,2268,2269,2270,2271,2272,2273,2274,2275,2276,2277,2278,2279,2280,2281,2282,2283,2284,2285,2286,2287,2288,2289,2290,2291,2292,2293,2294,2295,2296,2297,2298,2299,2300,2301,2302,2303,2304,2305,2306,2307,2308,2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,2320,2321,2322,2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,2333,2334,2335,2336,2337,2338,2339,2340,2341,2342,2343,2344,2345,2346,2347,2348,2349,2350,2351,2352,2353,2354,2355,2356,2357,2358,2359,2360,2361,2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,2372,2373,2374,2375,2376,2377,2378,2379,2380,2381,2382,2383,2384,2385,2386,2387,2388,2389,2390,2391,2392,2393,2394,2395,2396,2397,2398,2399,2400,2401,2402,2403,2404,2405,2406,2407,2408,2409,2410,2411,2412,2413,2414,2415,2416,2417,2418,2419,2420,2421,2422,2423,2424,2425,2426,2427,2428,2429,2430,2431,2432,2433,2434,2435,2436,2437,2438,2439,2440,2441,2442,2443,2444,2445,2446,2447,2448,2449,2450,2451,2452,2453,2454,2455,2456,2457,2458,2459,2460,2461,2462,2463,2464,2465,2466,2467,2468,2469,2470,2471,2472,2473,2474,2475,2476,2477,2478,2479,2480,2481,2482,2483,2484,2485,2486,2487,2488,2489,2490,2491,2492,2493,2494,2495,2496,2497,2498,2499,2500,2501,2502,2503,2504,2505,2506,2507,2508,2509,2510,2511,2512,2513,2514,2515,2516,2517,2518,2519,2520,2521,2522,2523,2524,2525,2526,2527,2528,2529,2530,2531,2532,2533,2534,2535,2536,2537,2538,2539,2540,2541,2542,2543,2544,2545,2546,2547,2548,2549,2550,2551,2552,2553,2554,2555,2556,2557,2558,2559,2560,2561,2562,2563,2564,2565,2566,2567,2568,2569,2570,2571,2572,2573,2574,2575,2576,2577,2578,2579,2580,2581,2582,2583,2584,2585,2586,2587,2588,2589,2590,2591,2592,2593,2594,2595,2596,2597,2598,2599,2600,2601,2602,2603,2604,2605,2606,2607,2608,2609,2610,2611,2612,2613,2614,2615,2616,2617,2618,2619,2620,2621,2622,2623,2624,2625,2626,2627,2628,2629,2630,2631,2632,2633,2634,2635,2636,2637,2638,2639,2640,2641,2642,2643,2644,2645,2646,2647,2648,2649,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,2662,2663,2664,2665,2666,2667,2668,2669,2670,2671,2672,2673,2674,2675,2676,2677,2678,2679,2680,2681,2682,2683,2684,2685,2686,2687,2688,2689,2690,2691,2692,2693,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,2705,2706,2707,2708,2709,2710,2711,2712,2713,2714,2715,2716,2717,2718,2719,2720,2721,2722,2723,2724,2725,2726,2727,2728,2729,2730,2731,2732,2733,2734,2735,2736,2737,2738,2739,2740,2741,2742,2743,2744,2745,2746,2747,2748,2749,2750,2751,2752,2753,2754,2755,2756,2757,2758,2759,2760,2761,2762,2763,2764,2765,2766,2767,2768,2769,2770,2771,2772,2773,2774,2775,2776,2777,2778,2779,2780,2781,2782,2783,2784,2785,2786,2787,2788,2789,2790,2791,2792,2793,2794,2795,2796,2797,2798,2799,2800,2801,2802,2803,2804,2805,2806,2807,2808,2809,2810,2811,2812,2813,2814,2815,2816,2817,2818,2819,2820,2821,2822,2823,2824,2825,2826,2827,2828,2829,2830,2831,2832,2833,2834,2835,2836,2837,2838,2839,2840,2841,2842,2843,2844,2845,2846,2847,2848,2849,2850,2851,2852,2853,2854,2855,2856,2857,2858,2859,2860,2861,2862,2863,2864,2865,2866,2867,2868,2869,2870,2871,2872,2873,2874,2875,2876,2877,2878,2879,2880,2881,2882,2883,2884,2885,2886,2887,2888,2889,2890,2891,2892,2893,2894,2895,2896,2897,2898,2899,2900,2901,2902,2903,2904,2905,2906,2907,2908,2909,2910,2911,2912,2913,2914,2915,2916,2917,2918,2919,2920,2921,2922,2923,2924,2925,2926,2927,2928,2929,2930,2931,2932,2933,2934,2935,2936,2937,2938,2939,2940,2941,2942,2943,2944,2945,2946,2947,2948,2949,2950,2951,2952,2953,2954,2955,2956,2957,2958,2959,2960,2961,2962,2963,2964,2965,2966,2967,2968,2969,2970,2971,2972,2973,2974,2975,2976,2977,2978,2979,2980,2981,2982,2983,2984,2985,2986,2987,2988,2989,2990,2991,2992,2993,2994,2995,2996,2997,2998,2999,3000,3001,3002,3003,3004,3005,3006,3007,3008,3009,3010,3011,3012,3013,3014,3015,3016,3017,3018,3019,3020,3021,3022,3023,3024,3025,3026,3027,3028,3029,3030,3031,3032,3033,3034,3035,3036,3037,3038,3039,3040,3041,3042,3043,3044,3045,3046,3047,3048,3049,3050,3051,3052,3053,3054,3055,3056,3057,3058,3059,3060,3061,3062,3063,3064,3065,3066,3067,3068,3069,3070,3071,3072,3073,3074,3075,3076,3077,3078,3079,3080,3081,3082,3083,3084,3085,3086,3087,3088,3089,3090,3091,3092,3093,3094,3095,3096,3097,3098,3099,3100,3101,3102,3103,3104,3105,3106,3107,3108,3109,3110,3111,3112,3113,3114,3115,3116,3117,3118,3119,3120,3121,3122,3123,3124,3125,3126,3127,3128,3129,3130,3131,3132,3133,3134,3135,3136,3137,3138,3139,3140,3141,3142,3143,3144,3145,3146,3147,3148,3149,3150,3151,3152,3153,3154,3155,3156,3157,3158,3159,3160,3161,3162,3163,3164,3165,3166,3167,3168,3169,3170,3171,3172,3173,3174,3175,3176,3177,3178,3179,3180,3181,3182,3183,3184,3185,3186,3187,3188,3189,3190,3191,3192,3193,3194,3195,3196,3197,3198,3199,3200,3201,3202,3203,3204,3205,3206,3207,3208,3209,3210,3211,3212,3213,3214,3215,3216,3217,3218,3219,3220,3221,3222,3223,3224,3225,3226,3227,3228,3229,3230,3231,3232,3233,3234,3235,3236,3237,3238,3239,3240,3241,3242,3243,3244,3245,3246,3247,3248,3249,3250,3251,3252,3253,3254,3255,3256,3257,3258,3259,3260,3261,3262,3263,3264,3265,3266,3267,3268,3269,3270,3271,3272,3273,3274,3275,3276,3277,3278,3279,3280,3281,3282,3283,3284,3285,3286,3287,3288,3289,3290,3291,3292,3293,3294,3295,3296,3297,3298,3299,3300,3301,3302,3303,3304,3305,3306,3307,3308,3309,3310,3311,3312,3313,3314,3315,3316,3317,3318,3319,3320,3321,3322,3323,3324,3325,3326,3327,3328,3329,3330,3331,3332,3333,3334,3335,3336,3337,3338,3339,3340,3341,3342,3343,3344,3345,3346,3347,3348,3349,3350,3351,3352,3353,3354,3355,3356,3357,3358,3359,3360,3361,3362,3363,3364,3365,3366,3367,3368,3369,3370,3371,3372,3373,3374,3375,3376,3377,3378,3379,3380,3381,3382,3383,3384,3385,3386,3387,3388,3389,3390,3391,3392,3393,3394,3395,3396,3397,3398,3399,3400,3401,3402,3403,3404,3405,3406,3407,3408,3409,3410,3411,3412,3413,3414,3415,3416,3417,3418,3419,3420,3421,3422,3423,3424,3425,3426,3427,3428,3429,3430,3431,3432,3433,3434,3435,3436,3437,3438,3439,3440,3441,3442,3443,3444,3445,3446,3447,3448,3449,3450,3451,3452,3453,3454,3455,3456,3457,3458,3459,3460,3461,3462,3463,3464,3465,3466,3467,3468,3469,3470,3471,3472,3473,3474,3475,3476,3477,3478,3479,3480,3481,3482,3483,3484,3485,3486,3487,3488,3489,3490,3491,3492,3493,3494,3495,3496,3497,3498,3499,3500,3501,3502,3503,3504,3505,3506,3507,3508,3509,3510,3511,3512,3513,3514,3515,3516,3517,3518,3519,3520,3521,3522,3523,3524,3525,3526,3527,3528,3529,3530,3531,3532,3533,3534,3535,3536,3537,3538,3539,3540,3541,3542,3543,3544,3545,3546,3547,3548,3549,3550,3551,3552,3553,3554,3555,3556,3557,3558,3559,3560,3561,3562,3563,3564,3565,3566,3567,3568,3569,3570,3571,3572,3573,3574,3575,3576,3577,3578,3579,3580,3581,3582,3583,3584,3585,3586,3587,3588,3589,3590,3591,3592,3593,3594,3595,3596,3597,3598,3599,3600,3601,3602,3603,3604,3605,3606,3607,3608,3609,3610,3611,3612,3613,3614,3615,3616,3617,3618,3619,3620,3621,3622,3623,3624,3625,3626,3627,3628,3629,3630,3631,3632,3633,3634,3635,3636,3637,3638,3639,3640,3641,3642,3643,3644,3645,3646,3647,3648,3649,3650,3651,3652,3653,3654,3655,3656,3657,3658,3659,3660,3661,3662,3663,3664,3665,3666,3667,3668,3669,3670,3671,3672,3673,3674,3675,3676,3677,3678,3679,3680,3681,3682,3683,3684,3685,3686,3687,3688,3689,3690,3691,3692,3693,3694,3695,3696,3697,3698,3699,3700,3701,3702,3703,3704,3705,3706,3707,3708,3709,3710,3711,3712,3713,3714,3715,3716,3717,3718,3719,3720,3721,3722,3723,3724,3725,3726,3727,3728,3729,3730,3731,3732,3733,3734,3735,3736,3737,3738,3739,3740,3741,3742,3743,3744,3745,3746,3747,3748,3749,3750,3751,3752,3753,3754,3755,3756,3757,3758,3759,3760,3761,3762,3763,3764,3765,3766,3767,3768,3769,3770,3771,3772,3773,3774,3775,3776,3777,3778,3779,3780,3781,3782,3783,3784,3785,3786,3787,3788,3789,3790,3791,3792,3793,3794,3795,3796,3797,3798,3799,3800,3801,3802,3803,3804,3805,3806,3807,3808,3809,3810,3811,3812,3813,3814,3815,3816,3817,3818,3819,3820,3821,3822,3823,3824,3825,3826,3827,3828,3829,3830,3831,3832,3833,3834,3835,3836,3837,3838,3839,3840,3841,3842,3843,3844,3845,3846,3847,3848,3849,3850,3851,3852,3853,3854,3855,3856,3857,3858,3859,3860,3861,3862,3863,3864,3865,3866,3867,3868,3869,3870,3871,3872,3873,3874,3875,3876,3877,3878,3879,3880,3881,3882,3883,3884,3885,3886,3887,3888,3889,3890,3891,3892,3893,3894,3895,3896,3897,3898,3899,3900,3901,3902,3903,3904,3905,3906,3907,3908,3909,3910,3911,3912,3913,3914,3915,3916,3917,3918,3919,3920,3921,3922,3923,3924,3925,3926,3927,3928,3929,3930,3931,3932,3933,3934,3935,3936,3937,3938,3939,3940,3941,3942,3943,3944,3945,3946,3947,3948,3949,3950,3951,3952,3953,3954,3955,3956,3957,3958,3959,3960,3961,3962,3963,3964,3965,3966,3967,3968,3969,3970,3971,3972,3973,3974,3975,3976,3977,3978,3979,3980,3981,3982,3983,3984,3985,3986,3987,3988,3989,3990,3991,3992,3993,3994,3995,3996,3997,3998,3999,4000,4001,4002,4003,4004,4005,4006,4007,4008,4009,4010,4011,4012,4013,4014,4015,4016,4017,4018,4019,4020,4021,4022,4023,4024,4025,4026,4027,4028,4029,4030,4031,4032,4033,4034,4035,4036,4037,4038,4039,4040,4041,4042,4043,4044,4045,4046,4047,4048,4049,4050,4051,4052,4053,4054,4055,4056,4057,4058,4059,4060,4061,4062,4063,4064,4065,4066,4067,4068,4069,4070,4071,4072,4073,4074,4075,4076,4077,4078,4079,4080,4081,4082,4083,4084,4085,4086,4087,4088,4089,4090,4091,4092,4093,4094,4095,4096,4097,4098,4099,4100,4101,4102,4103,4104,4105,4106,4107,4108,4109,4110,4111,4112,4113,4114,4115,4116,4117,4118,4119,4120,4121,4122,4123,4124,4125,4126,4127,4128,4129,4130,4131,4132,4133,4134,4135,4136,4137,4138,4139,4140,4141,4142,4143,4144,4145,4146,4147,4148,4149,4150,4151,4152,4153,4154,4155,4156,4157,4158,4159,4160,4161,4162,4163,4164,4165,4166,4167,4168,4169,4170,4171,4172,4173,4174,4175,4176,4177,4178,4179,4180,4181,4182,4183,4184,4185,4186,4187,4188,4189,4190,4191,4192,4193,4194,4195,4196,4197,4198,4199,4200,4201,4202,4203,4204,4205,4206,4207,4208,4209,4210,4211,4212,4213,4214,4215,4216,4217,4218,4219,4220,4221,4222,4223,4224,4225,4226,4227,4228,4229,4230,4231,4232,4233,4234,4235,4236,4237,4238,4239,4240,4241,4242,4243,4244,4245,4246,4247,4248,4249,4250,4251,4252,4253,4254,4255,4256,4257,4258,4259,4260,4261,4262,4263,4264,4265,4266,4267,4268,4269,4270,4271,4272,4273,4274,4275,4276,4277,4278,4279,4280,4281,4282,4283,4284,4285,4286,4287,4288,4289,4290,4291,4292,4293,4294,4295,4296,4297,4298,4299,4300,4301,4302,4303,4304,4305,4306,4307,4308,4309,4310,4311,4312,4313,4314,4315,4316,4317,4318,4319,4320,4321,4322,4323,4324,4325,4326,4327,4328,4329,4330,4331,4332,4333,4334,4335,4336,4337,4338,4339,4340,4341,4342,4343,4344,4345,4346,4347,4348,4349,4350,4351,4352,4353,4354,4355,4356,4357,4358,4359,4360,4361,4362,4363,4364,4365,4366,4367,4368,4369,4370,4371,4372,4373,4374,4375,4376,4377,4378,4379,4380,4381,4382,4383,4384,4385,4386,4387,4388,4389,4390,4391,4392,4393,4394,4395,4396,4397,4398,4399,4400,4401,4402,4403,4404,4405,4406,4407,4408,4409,4410,4411,4412,4413,4414,4415,4416,4417,4418,4419,4420,4421,4422,4423,4424,4425,4426,4427,4428,4429,4430,4431,4432,4433,4434,4435,4436,4437,4438,4439,4440,4441,4442,4443,4444,4445,4446,4447,4448,4449,4450,4451,4452,4453,4454,4455,4456,4457,4458,4459,4460,4461,4462,4463,4464,4465,4466,4467,4468,4469,4470,4471,4472,4473,4474,4475,4476,4477,4478,4479,4480,4481,4482,4483,4484,4485,4486,4487,4488,4489,4490,4491,4492,4493,4494,4495,4496,4497,4498,4499,4500,4501,4502,4503,4504,4505,4506,4507,4508,4509,4510,4511,4512,4513,4514,4515,4516,4517,4518,4519,4520,4521,4522,4523,4524,4525,4526,4527,4528,4529,4530,4531,4532,4533,4534,4535,4536,4537,4538,4539,4540,4541,4542,4543,4544,4545,4546,4547,4548,4549,4550,4551,4552,4553,4554,4555,4556,4557,4558,4559,4560,4561,4562,4563,4564,4565,4566,4567,4568,4569,4570,4571,4572,4573,4574,4575,4576,4577,4578,4579,4580,4581,4582,4583,4584,4585,4586,4587,4588,4589,4590,4591,4592,4593,4594,4595,4596,4597,4598,4599,4600,4601,4602,4603,4604,4605,4606,4607,4608,4609,4610,4611,4612,4613,4614,4615,4616,4617,4618,4619,4620,4621,4622,4623,4624,4625,4626,4627,4628,4629,4630,4631,4632,4633,4634,4635,4636,4637,4638,4639,4640,4641,4642,4643,4644,4645,4646,4647,4648,4649,4650,4651,4652,4653,4654,4655,4656,4657,4658,4659,4660,4661,4662,4663,4664,4665,4666,4667,4668,4669,4670,4671,4672,4673,4674,4675,4676,4677,4678,4679,4680,4681,4682,4683,4684,4685,4686,4687,4688,4689,4690,4691,4692,4693,4694,4695,4696,4697,4698,4699,4700,4701,4702,4703,4704,4705,4706,4707,4708,4709,4710,4711,4712,4713,4714,4715,4716,4717,4718,4719,4720,4721,4722,4723,4724,4725,4726,4727,4728,4729,4730,4731,4732,4733,4734,4735,4736,4737,4738,4739,4740,4741,4742,4743,4744,4745,4746,4747,4748,4749,4750,4751,4752,4753,4754,4755,4756,4757,4758,4759,4760,4761,4762,4763,4764,4765,4766,4767,4768,4769,4770,4771,4772,4773,4774,4775,4776,4777,4778,4779,4780,4781,4782,4783,4784,4785,4786,4787,4788,4789,4790,4791,4792,4793,4794,4795,4796,4797,4798,4799,4800,4801,4802,4803,4804,4805,4806,4807,4808,4809,4810,4811,4812,4813,4814,4815,4816,4817,4818,4819,4820,4821,4822,4823,4824,4825,4826,4827,4828,4829,4830,4831,4832,4833,4834,4835,4836,4837,4838,4839,4840,4841,4842,4843,4844,4845,4846,4847,4848,4849,4850,4851,4852,4853,4854,4855,4856,4857,4858,4859,4860,4861,4862,4863,4864,4865,4866,4867,4868,4869,4870,4871,4872,4873,4874,4875,4876,4877,4878,4879,4880,4881,4882,4883,4884,4885,4886,4887,4888,4889,4890,4891,4892,4893,4894,4895,4896,4897,4898,4899,4900,4901,4902,4903,4904,4905,4906,4907,4908,4909,4910,4911,4912,4913,4914,4915,4916,4917,4918,4919,4920,4921,4922,4923,4924,4925,4926,4927,4928,4929,4930,4931,4932,4933,4934,4935,4936,4937,4938,4939,4940,4941,4942,4943,4944,4945,4946,4947,4948,4949,4950,4951,4952,4953,4954,4955,4956,4957,4958,4959,4960,4961,4962,4963,4964,4965,4966,4967,4968,4969,4970,4971,4972,4973,4974,4975,4976,4977,4978,4979,4980,4981,4982,4983,4984,4985,4986,4987,4988,4989,4990,4991,4992,4993,4994,4995,4996,4997,4998,4999,5000,5001,5002,5003,5004,5005,5006,5007,5008,5009,5010,5011,5012,5013,5014,5015,5016,5017,5018,5019,5020,5021,5022,5023,5024,5025,5026,5027,5028,5029,5030,5031,5032,5033,5034,5035,5036,5037,5038,5039,5040,5041,5042,5043,5044,5045,5046,5047,5048,5049,5050,5051,5052,5053,5054,5055,5056,5057,5058,5059,5060,5061,5062,5063,5064,5065,5066,5067,5068,5069,5070,5071,5072,5073,5074,5075,5076,5077,5078,5079,5080,5081,5082,5083,5084,5085,5086,5087,5088,5089,5090,5091,5092,5093,5094,5095,5096,5097,5098,5099,5100,5101,5102,5103,5104,5105,5106,5107,5108,5109,5110,5111,5112,5113,5114,5115,5116,5117,5118,5119,5120,5121,5122,5123,5124,5125,5126,5127,5128,5129,5130,5131,5132,5133,5134,5135,5136,5137,5138,5139,5140,5141,5142,5143,5144,5145,5146,5147,5148,5149,5150,5151,5152,5153,5154,5155,5156,5157,5158,5159,5160,5161,5162,5163,5164,5165,5166,5167,5168,5169,5170,5171,5172,5173,5174,5175,5176,5177,5178,5179,5180,5181,5182,5183,5184,5185,5186,5187,5188,5189,5190,5191,5192,5193,5194,5195,5196,5197,5198,5199,5200,5201,5202,5203,5204,5205,5206,5207,5208,5209,5210,5211,5212,5213,5214,5215,5216,5217,5218,5219,5220,5221,5222,5223,5224,5225,5226,5227,5228,5229,5230,5231,5232,5233,5234,5235,5236,5237,5238,5239,5240,5241,5242,5243,5244,5245,5246,5247,5248,5249,5250,5251,5252,5253,5254,5255,5256,5257,5258,5259,5260,5261,5262,5263,5264,5265,5266,5267,5268,5269,5270,5271,5272,5273,5274,5275,5276);(2,3)(5,5276)(6,5275)(7,5274)(8,5273)(9,5272)(10,5271)(11,5270)(12,5269)(13,5268)(14,5267)(15,5266)(16,5265)(17,5264)(18,5263)(19,5262)(20,5261)(21,5260)(22,5259)(23,5258)(24,5257)(25,5256)(26,5255)(27,5254)(28,5253)(29,5252)(30,5251)(31,5250)(32,5249)(33,5248)(34,5247)(35,5246)(36,5245)(37,5244)(38,5243)(39,5242)(40,5241)(41,5240)(42,5239)(43,5238)(44,5237)(45,5236)(46,5235)(47,5234)(48,5233)(49,5232)(50,5231)(51,5230)(52,5229)(53,5228)(54,5227)(55,5226)(56,5225)(57,5224)(58,5223)(59,5222)(60,5221)(61,5220)(62,5219)(63,5218)(64,5217)(65,5216)(66,5215)(67,5214)(68,5213)(69,5212)(70,5211)(71,5210)(72,5209)(73,5208)(74,5207)(75,5206)(76,5205)(77,5204)(78,5203)(79,5202)(80,5201)(81,5200)(82,5199)(83,5198)(84,5197)(85,5196)(86,5195)(87,5194)(88,5193)(89,5192)(90,5191)(91,5190)(92,5189)(93,5188)(94,5187)(95,5186)(96,5185)(97,5184)(98,5183)(99,5182)(100,5181)(101,5180)(102,5179)(103,5178)(104,5177)(105,5176)(106,5175)(107,5174)(108,5173)(109,5172)(110,5171)(111,5170)(112,5169)(113,5168)(114,5167)(115,5166)(116,5165)(117,5164)(118,5163)(119,5162)(120,5161)(121,5160)(122,5159)(123,5158)(124,5157)(125,5156)(126,5155)(127,5154)(128,5153)(129,5152)(130,5151)(131,5150)(132,5149)(133,5148)(134,5147)(135,5146)(136,5145)(137,5144)(138,5143)(139,5142)(140,5141)(141,5140)(142,5139)(143,5138)(144,5137)(145,5136)(146,5135)(147,5134)(148,5133)(149,5132)(150,5131)(151,5130)(152,5129)(153,5128)(154,5127)(155,5126)(156,5125)(157,5124)(158,5123)(159,5122)(160,5121)(161,5120)(162,5119)(163,5118)(164,5117)(165,5116)(166,5115)(167,5114)(168,5113)(169,5112)(170,5111)(171,5110)(172,5109)(173,5108)(174,5107)(175,5106)(176,5105)(177,5104)(178,5103)(179,5102)(180,5101)(181,5100)(182,5099)(183,5098)(184,5097)(185,5096)(186,5095)(187,5094)(188,5093)(189,5092)(190,5091)(191,5090)(192,5089)(193,5088)(194,5087)(195,5086)(196,5085)(197,5084)(198,5083)(199,5082)(200,5081)(201,5080)(202,5079)(203,5078)(204,5077)(205,5076)(206,5075)(207,5074)(208,5073)(209,5072)(210,5071)(211,5070)(212,5069)(213,5068)(214,5067)(215,5066)(216,5065)(217,5064)(218,5063)(219,5062)(220,5061)(221,5060)(222,5059)(223,5058)(224,5057)(225,5056)(226,5055)(227,5054)(228,5053)(229,5052)(230,5051)(231,5050)(232,5049)(233,5048)(234,5047)(235,5046)(236,5045)(237,5044)(238,5043)(239,5042)(240,5041)(241,5040)(242,5039)(243,5038)(244,5037)(245,5036)(246,5035)(247,5034)(248,5033)(249,5032)(250,5031)(251,5030)(252,5029)(253,5028)(254,5027)(255,5026)(256,5025)(257,5024)(258,5023)(259,5022)(260,5021)(261,5020)(262,5019)(263,5018)(264,5017)(265,5016)(266,5015)(267,5014)(268,5013)(269,5012)(270,5011)(271,5010)(272,5009)(273,5008)(274,5007)(275,5006)(276,5005)(277,5004)(278,5003)(279,5002)(280,5001)(281,5000)(282,4999)(283,4998)(284,4997)(285,4996)(286,4995)(287,4994)(288,4993)(289,4992)(290,4991)(291,4990)(292,4989)(293,4988)(294,4987)(295,4986)(296,4985)(297,4984)(298,4983)(299,4982)(300,4981)(301,4980)(302,4979)(303,4978)(304,4977)(305,4976)(306,4975)(307,4974)(308,4973)(309,4972)(310,4971)(311,4970)(312,4969)(313,4968)(314,4967)(315,4966)(316,4965)(317,4964)(318,4963)(319,4962)(320,4961)(321,4960)(322,4959)(323,4958)(324,4957)(325,4956)(326,4955)(327,4954)(328,4953)(329,4952)(330,4951)(331,4950)(332,4949)(333,4948)(334,4947)(335,4946)(336,4945)(337,4944)(338,4943)(339,4942)(340,4941)(341,4940)(342,4939)(343,4938)(344,4937)(345,4936)(346,4935)(347,4934)(348,4933)(349,4932)(350,4931)(351,4930)(352,4929)(353,4928)(354,4927)(355,4926)(356,4925)(357,4924)(358,4923)(359,4922)(360,4921)(361,4920)(362,4919)(363,4918)(364,4917)(365,4916)(366,4915)(367,4914)(368,4913)(369,4912)(370,4911)(371,4910)(372,4909)(373,4908)(374,4907)(375,4906)(376,4905)(377,4904)(378,4903)(379,4902)(380,4901)(381,4900)(382,4899)(383,4898)(384,4897)(385,4896)(386,4895)(387,4894)(388,4893)(389,4892)(390,4891)(391,4890)(392,4889)(393,4888)(394,4887)(395,4886)(396,4885)(397,4884)(398,4883)(399,4882)(400,4881)(401,4880)(402,4879)(403,4878)(404,4877)(405,4876)(406,4875)(407,4874)(408,4873)(409,4872)(410,4871)(411,4870)(412,4869)(413,4868)(414,4867)(415,4866)(416,4865)(417,4864)(418,4863)(419,4862)(420,4861)(421,4860)(422,4859)(423,4858)(424,4857)(425,4856)(426,4855)(427,4854)(428,4853)(429,4852)(430,4851)(431,4850)(432,4849)(433,4848)(434,4847)(435,4846)(436,4845)(437,4844)(438,4843)(439,4842)(440,4841)(441,4840)(442,4839)(443,4838)(444,4837)(445,4836)(446,4835)(447,4834)(448,4833)(449,4832)(450,4831)(451,4830)(452,4829)(453,4828)(454,4827)(455,4826)(456,4825)(457,4824)(458,4823)(459,4822)(460,4821)(461,4820)(462,4819)(463,4818)(464,4817)(465,4816)(466,4815)(467,4814)(468,4813)(469,4812)(470,4811)(471,4810)(472,4809)(473,4808)(474,4807)(475,4806)(476,4805)(477,4804)(478,4803)(479,4802)(480,4801)(481,4800)(482,4799)(483,4798)(484,4797)(485,4796)(486,4795)(487,4794)(488,4793)(489,4792)(490,4791)(491,4790)(492,4789)(493,4788)(494,4787)(495,4786)(496,4785)(497,4784)(498,4783)(499,4782)(500,4781)(501,4780)(502,4779)(503,4778)(504,4777)(505,4776)(506,4775)(507,4774)(508,4773)(509,4772)(510,4771)(511,4770)(512,4769)(513,4768)(514,4767)(515,4766)(516,4765)(517,4764)(518,4763)(519,4762)(520,4761)(521,4760)(522,4759)(523,4758)(524,4757)(525,4756)(526,4755)(527,4754)(528,4753)(529,4752)(530,4751)(531,4750)(532,4749)(533,4748)(534,4747)(535,4746)(536,4745)(537,4744)(538,4743)(539,4742)(540,4741)(541,4740)(542,4739)(543,4738)(544,4737)(545,4736)(546,4735)(547,4734)(548,4733)(549,4732)(550,4731)(551,4730)(552,4729)(553,4728)(554,4727)(555,4726)(556,4725)(557,4724)(558,4723)(559,4722)(560,4721)(561,4720)(562,4719)(563,4718)(564,4717)(565,4716)(566,4715)(567,4714)(568,4713)(569,4712)(570,4711)(571,4710)(572,4709)(573,4708)(574,4707)(575,4706)(576,4705)(577,4704)(578,4703)(579,4702)(580,4701)(581,4700)(582,4699)(583,4698)(584,4697)(585,4696)(586,4695)(587,4694)(588,4693)(589,4692)(590,4691)(591,4690)(592,4689)(593,4688)(594,4687)(595,4686)(596,4685)(597,4684)(598,4683)(599,4682)(600,4681)(601,4680)(602,4679)(603,4678)(604,4677)(605,4676)(606,4675)(607,4674)(608,4673)(609,4672)(610,4671)(611,4670)(612,4669)(613,4668)(614,4667)(615,4666)(616,4665)(617,4664)(618,4663)(619,4662)(620,4661)(621,4660)(622,4659)(623,4658)(624,4657)(625,4656)(626,4655)(627,4654)(628,4653)(629,4652)(630,4651)(631,4650)(632,4649)(633,4648)(634,4647)(635,4646)(636,4645)(637,4644)(638,4643)(639,4642)(640,4641)(641,4640)(642,4639)(643,4638)(644,4637)(645,4636)(646,4635)(647,4634)(648,4633)(649,4632)(650,4631)(651,4630)(652,4629)(653,4628)(654,4627)(655,4626)(656,4625)(657,4624)(658,4623)(659,4622)(660,4621)(661,4620)(662,4619)(663,4618)(664,4617)(665,4616)(666,4615)(667,4614)(668,4613)(669,4612)(670,4611)(671,4610)(672,4609)(673,4608)(674,4607)(675,4606)(676,4605)(677,4604)(678,4603)(679,4602)(680,4601)(681,4600)(682,4599)(683,4598)(684,4597)(685,4596)(686,4595)(687,4594)(688,4593)(689,4592)(690,4591)(691,4590)(692,4589)(693,4588)(694,4587)(695,4586)(696,4585)(697,4584)(698,4583)(699,4582)(700,4581)(701,4580)(702,4579)(703,4578)(704,4577)(705,4576)(706,4575)(707,4574)(708,4573)(709,4572)(710,4571)(711,4570)(712,4569)(713,4568)(714,4567)(715,4566)(716,4565)(717,4564)(718,4563)(719,4562)(720,4561)(721,4560)(722,4559)(723,4558)(724,4557)(725,4556)(726,4555)(727,4554)(728,4553)(729,4552)(730,4551)(731,4550)(732,4549)(733,4548)(734,4547)(735,4546)(736,4545)(737,4544)(738,4543)(739,4542)(740,4541)(741,4540)(742,4539)(743,4538)(744,4537)(745,4536)(746,4535)(747,4534)(748,4533)(749,4532)(750,4531)(751,4530)(752,4529)(753,4528)(754,4527)(755,4526)(756,4525)(757,4524)(758,4523)(759,4522)(760,4521)(761,4520)(762,4519)(763,4518)(764,4517)(765,4516)(766,4515)(767,4514)(768,4513)(769,4512)(770,4511)(771,4510)(772,4509)(773,4508)(774,4507)(775,4506)(776,4505)(777,4504)(778,4503)(779,4502)(780,4501)(781,4500)(782,4499)(783,4498)(784,4497)(785,4496)(786,4495)(787,4494)(788,4493)(789,4492)(790,4491)(791,4490)(792,4489)(793,4488)(794,4487)(795,4486)(796,4485)(797,4484)(798,4483)(799,4482)(800,4481)(801,4480)(802,4479)(803,4478)(804,4477)(805,4476)(806,4475)(807,4474)(808,4473)(809,4472)(810,4471)(811,4470)(812,4469)(813,4468)(814,4467)(815,4466)(816,4465)(817,4464)(818,4463)(819,4462)(820,4461)(821,4460)(822,4459)(823,4458)(824,4457)(825,4456)(826,4455)(827,4454)(828,4453)(829,4452)(830,4451)(831,4450)(832,4449)(833,4448)(834,4447)(835,4446)(836,4445)(837,4444)(838,4443)(839,4442)(840,4441)(841,4440)(842,4439)(843,4438)(844,4437)(845,4436)(846,4435)(847,4434)(848,4433)(849,4432)(850,4431)(851,4430)(852,4429)(853,4428)(854,4427)(855,4426)(856,4425)(857,4424)(858,4423)(859,4422)(860,4421)(861,4420)(862,4419)(863,4418)(864,4417)(865,4416)(866,4415)(867,4414)(868,4413)(869,4412)(870,4411)(871,4410)(872,4409)(873,4408)(874,4407)(875,4406)(876,4405)(877,4404)(878,4403)(879,4402)(880,4401)(881,4400)(882,4399)(883,4398)(884,4397)(885,4396)(886,4395)(887,4394)(888,4393)(889,4392)(890,4391)(891,4390)(892,4389)(893,4388)(894,4387)(895,4386)(896,4385)(897,4384)(898,4383)(899,4382)(900,4381)(901,4380)(902,4379)(903,4378)(904,4377)(905,4376)(906,4375)(907,4374)(908,4373)(909,4372)(910,4371)(911,4370)(912,4369)(913,4368)(914,4367)(915,4366)(916,4365)(917,4364)(918,4363)(919,4362)(920,4361)(921,4360)(922,4359)(923,4358)(924,4357)(925,4356)(926,4355)(927,4354)(928,4353)(929,4352)(930,4351)(931,4350)(932,4349)(933,4348)(934,4347)(935,4346)(936,4345)(937,4344)(938,4343)(939,4342)(940,4341)(941,4340)(942,4339)(943,4338)(944,4337)(945,4336)(946,4335)(947,4334)(948,4333)(949,4332)(950,4331)(951,4330)(952,4329)(953,4328)(954,4327)(955,4326)(956,4325)(957,4324)(958,4323)(959,4322)(960,4321)(961,4320)(962,4319)(963,4318)(964,4317)(965,4316)(966,4315)(967,4314)(968,4313)(969,4312)(970,4311)(971,4310)(972,4309)(973,4308)(974,4307)(975,4306)(976,4305)(977,4304)(978,4303)(979,4302)(980,4301)(981,4300)(982,4299)(983,4298)(984,4297)(985,4296)(986,4295)(987,4294)(988,4293)(989,4292)(990,4291)(991,4290)(992,4289)(993,4288)(994,4287)(995,4286)(996,4285)(997,4284)(998,4283)(999,4282)(1000,4281)(1001,4280)(1002,4279)(1003,4278)(1004,4277)(1005,4276)(1006,4275)(1007,4274)(1008,4273)(1009,4272)(1010,4271)(1011,4270)(1012,4269)(1013,4268)(1014,4267)(1015,4266)(1016,4265)(1017,4264)(1018,4263)(1019,4262)(1020,4261)(1021,4260)(1022,4259)(1023,4258)(1024,4257)(1025,4256)(1026,4255)(1027,4254)(1028,4253)(1029,4252)(1030,4251)(1031,4250)(1032,4249)(1033,4248)(1034,4247)(1035,4246)(1036,4245)(1037,4244)(1038,4243)(1039,4242)(1040,4241)(1041,4240)(1042,4239)(1043,4238)(1044,4237)(1045,4236)(1046,4235)(1047,4234)(1048,4233)(1049,4232)(1050,4231)(1051,4230)(1052,4229)(1053,4228)(1054,4227)(1055,4226)(1056,4225)(1057,4224)(1058,4223)(1059,4222)(1060,4221)(1061,4220)(1062,4219)(1063,4218)(1064,4217)(1065,4216)(1066,4215)(1067,4214)(1068,4213)(1069,4212)(1070,4211)(1071,4210)(1072,4209)(1073,4208)(1074,4207)(1075,4206)(1076,4205)(1077,4204)(1078,4203)(1079,4202)(1080,4201)(1081,4200)(1082,4199)(1083,4198)(1084,4197)(1085,4196)(1086,4195)(1087,4194)(1088,4193)(1089,4192)(1090,4191)(1091,4190)(1092,4189)(1093,4188)(1094,4187)(1095,4186)(1096,4185)(1097,4184)(1098,4183)(1099,4182)(1100,4181)(1101,4180)(1102,4179)(1103,4178)(1104,4177)(1105,4176)(1106,4175)(1107,4174)(1108,4173)(1109,4172)(1110,4171)(1111,4170)(1112,4169)(1113,4168)(1114,4167)(1115,4166)(1116,4165)(1117,4164)(1118,4163)(1119,4162)(1120,4161)(1121,4160)(1122,4159)(1123,4158)(1124,4157)(1125,4156)(1126,4155)(1127,4154)(1128,4153)(1129,4152)(1130,4151)(1131,4150)(1132,4149)(1133,4148)(1134,4147)(1135,4146)(1136,4145)(1137,4144)(1138,4143)(1139,4142)(1140,4141)(1141,4140)(1142,4139)(1143,4138)(1144,4137)(1145,4136)(1146,4135)(1147,4134)(1148,4133)(1149,4132)(1150,4131)(1151,4130)(1152,4129)(1153,4128)(1154,4127)(1155,4126)(1156,4125)(1157,4124)(1158,4123)(1159,4122)(1160,4121)(1161,4120)(1162,4119)(1163,4118)(1164,4117)(1165,4116)(1166,4115)(1167,4114)(1168,4113)(1169,4112)(1170,4111)(1171,4110)(1172,4109)(1173,4108)(1174,4107)(1175,4106)(1176,4105)(1177,4104)(1178,4103)(1179,4102)(1180,4101)(1181,4100)(1182,4099)(1183,4098)(1184,4097)(1185,4096)(1186,4095)(1187,4094)(1188,4093)(1189,4092)(1190,4091)(1191,4090)(1192,4089)(1193,4088)(1194,4087)(1195,4086)(1196,4085)(1197,4084)(1198,4083)(1199,4082)(1200,4081)(1201,4080)(1202,4079)(1203,4078)(1204,4077)(1205,4076)(1206,4075)(1207,4074)(1208,4073)(1209,4072)(1210,4071)(1211,4070)(1212,4069)(1213,4068)(1214,4067)(1215,4066)(1216,4065)(1217,4064)(1218,4063)(1219,4062)(1220,4061)(1221,4060)(1222,4059)(1223,4058)(1224,4057)(1225,4056)(1226,4055)(1227,4054)(1228,4053)(1229,4052)(1230,4051)(1231,4050)(1232,4049)(1233,4048)(1234,4047)(1235,4046)(1236,4045)(1237,4044)(1238,4043)(1239,4042)(1240,4041)(1241,4040)(1242,4039)(1243,4038)(1244,4037)(1245,4036)(1246,4035)(1247,4034)(1248,4033)(1249,4032)(1250,4031)(1251,4030)(1252,4029)(1253,4028)(1254,4027)(1255,4026)(1256,4025)(1257,4024)(1258,4023)(1259,4022)(1260,4021)(1261,4020)(1262,4019)(1263,4018)(1264,4017)(1265,4016)(1266,4015)(1267,4014)(1268,4013)(1269,4012)(1270,4011)(1271,4010)(1272,4009)(1273,4008)(1274,4007)(1275,4006)(1276,4005)(1277,4004)(1278,4003)(1279,4002)(1280,4001)(1281,4000)(1282,3999)(1283,3998)(1284,3997)(1285,3996)(1286,3995)(1287,3994)(1288,3993)(1289,3992)(1290,3991)(1291,3990)(1292,3989)(1293,3988)(1294,3987)(1295,3986)(1296,3985)(1297,3984)(1298,3983)(1299,3982)(1300,3981)(1301,3980)(1302,3979)(1303,3978)(1304,3977)(1305,3976)(1306,3975)(1307,3974)(1308,3973)(1309,3972)(1310,3971)(1311,3970)(1312,3969)(1313,3968)(1314,3967)(1315,3966)(1316,3965)(1317,3964)(1318,3963)(1319,3962)(1320,3961)(1321,3960)(1322,3959)(1323,3958)(1324,3957)(1325,3956)(1326,3955)(1327,3954)(1328,3953)(1329,3952)(1330,3951)(1331,3950)(1332,3949)(1333,3948)(1334,3947)(1335,3946)(1336,3945)(1337,3944)(1338,3943)(1339,3942)(1340,3941)(1341,3940)(1342,3939)(1343,3938)(1344,3937)(1345,3936)(1346,3935)(1347,3934)(1348,3933)(1349,3932)(1350,3931)(1351,3930)(1352,3929)(1353,3928)(1354,3927)(1355,3926)(1356,3925)(1357,3924)(1358,3923)(1359,3922)(1360,3921)(1361,3920)(1362,3919)(1363,3918)(1364,3917)(1365,3916)(1366,3915)(1367,3914)(1368,3913)(1369,3912)(1370,3911)(1371,3910)(1372,3909)(1373,3908)(1374,3907)(1375,3906)(1376,3905)(1377,3904)(1378,3903)(1379,3902)(1380,3901)(1381,3900)(1382,3899)(1383,3898)(1384,3897)(1385,3896)(1386,3895)(1387,3894)(1388,3893)(1389,3892)(1390,3891)(1391,3890)(1392,3889)(1393,3888)(1394,3887)(1395,3886)(1396,3885)(1397,3884)(1398,3883)(1399,3882)(1400,3881)(1401,3880)(1402,3879)(1403,3878)(1404,3877)(1405,3876)(1406,3875)(1407,3874)(1408,3873)(1409,3872)(1410,3871)(1411,3870)(1412,3869)(1413,3868)(1414,3867)(1415,3866)(1416,3865)(1417,3864)(1418,3863)(1419,3862)(1420,3861)(1421,3860)(1422,3859)(1423,3858)(1424,3857)(1425,3856)(1426,3855)(1427,3854)(1428,3853)(1429,3852)(1430,3851)(1431,3850)(1432,3849)(1433,3848)(1434,3847)(1435,3846)(1436,3845)(1437,3844)(1438,3843)(1439,3842)(1440,3841)(1441,3840)(1442,3839)(1443,3838)(1444,3837)(1445,3836)(1446,3835)(1447,3834)(1448,3833)(1449,3832)(1450,3831)(1451,3830)(1452,3829)(1453,3828)(1454,3827)(1455,3826)(1456,3825)(1457,3824)(1458,3823)(1459,3822)(1460,3821)(1461,3820)(1462,3819)(1463,3818)(1464,3817)(1465,3816)(1466,3815)(1467,3814)(1468,3813)(1469,3812)(1470,3811)(1471,3810)(1472,3809)(1473,3808)(1474,3807)(1475,3806)(1476,3805)(1477,3804)(1478,3803)(1479,3802)(1480,3801)(1481,3800)(1482,3799)(1483,3798)(1484,3797)(1485,3796)(1486,3795)(1487,3794)(1488,3793)(1489,3792)(1490,3791)(1491,3790)(1492,3789)(1493,3788)(1494,3787)(1495,3786)(1496,3785)(1497,3784)(1498,3783)(1499,3782)(1500,3781)(1501,3780)(1502,3779)(1503,3778)(1504,3777)(1505,3776)(1506,3775)(1507,3774)(1508,3773)(1509,3772)(1510,3771)(1511,3770)(1512,3769)(1513,3768)(1514,3767)(1515,3766)(1516,3765)(1517,3764)(1518,3763)(1519,3762)(1520,3761)(1521,3760)(1522,3759)(1523,3758)(1524,3757)(1525,3756)(1526,3755)(1527,3754)(1528,3753)(1529,3752)(1530,3751)(1531,3750)(1532,3749)(1533,3748)(1534,3747)(1535,3746)(1536,3745)(1537,3744)(1538,3743)(1539,3742)(1540,3741)(1541,3740)(1542,3739)(1543,3738)(1544,3737)(1545,3736)(1546,3735)(1547,3734)(1548,3733)(1549,3732)(1550,3731)(1551,3730)(1552,3729)(1553,3728)(1554,3727)(1555,3726)(1556,3725)(1557,3724)(1558,3723)(1559,3722)(1560,3721)(1561,3720)(1562,3719)(1563,3718)(1564,3717)(1565,3716)(1566,3715)(1567,3714)(1568,3713)(1569,3712)(1570,3711)(1571,3710)(1572,3709)(1573,3708)(1574,3707)(1575,3706)(1576,3705)(1577,3704)(1578,3703)(1579,3702)(1580,3701)(1581,3700)(1582,3699)(1583,3698)(1584,3697)(1585,3696)(1586,3695)(1587,3694)(1588,3693)(1589,3692)(1590,3691)(1591,3690)(1592,3689)(1593,3688)(1594,3687)(1595,3686)(1596,3685)(1597,3684)(1598,3683)(1599,3682)(1600,3681)(1601,3680)(1602,3679)(1603,3678)(1604,3677)(1605,3676)(1606,3675)(1607,3674)(1608,3673)(1609,3672)(1610,3671)(1611,3670)(1612,3669)(1613,3668)(1614,3667)(1615,3666)(1616,3665)(1617,3664)(1618,3663)(1619,3662)(1620,3661)(1621,3660)(1622,3659)(1623,3658)(1624,3657)(1625,3656)(1626,3655)(1627,3654)(1628,3653)(1629,3652)(1630,3651)(1631,3650)(1632,3649)(1633,3648)(1634,3647)(1635,3646)(1636,3645)(1637,3644)(1638,3643)(1639,3642)(1640,3641)(1641,3640)(1642,3639)(1643,3638)(1644,3637)(1645,3636)(1646,3635)(1647,3634)(1648,3633)(1649,3632)(1650,3631)(1651,3630)(1652,3629)(1653,3628)(1654,3627)(1655,3626)(1656,3625)(1657,3624)(1658,3623)(1659,3622)(1660,3621)(1661,3620)(1662,3619)(1663,3618)(1664,3617)(1665,3616)(1666,3615)(1667,3614)(1668,3613)(1669,3612)(1670,3611)(1671,3610)(1672,3609)(1673,3608)(1674,3607)(1675,3606)(1676,3605)(1677,3604)(1678,3603)(1679,3602)(1680,3601)(1681,3600)(1682,3599)(1683,3598)(1684,3597)(1685,3596)(1686,3595)(1687,3594)(1688,3593)(1689,3592)(1690,3591)(1691,3590)(1692,3589)(1693,3588)(1694,3587)(1695,3586)(1696,3585)(1697,3584)(1698,3583)(1699,3582)(1700,3581)(1701,3580)(1702,3579)(1703,3578)(1704,3577)(1705,3576)(1706,3575)(1707,3574)(1708,3573)(1709,3572)(1710,3571)(1711,3570)(1712,3569)(1713,3568)(1714,3567)(1715,3566)(1716,3565)(1717,3564)(1718,3563)(1719,3562)(1720,3561)(1721,3560)(1722,3559)(1723,3558)(1724,3557)(1725,3556)(1726,3555)(1727,3554)(1728,3553)(1729,3552)(1730,3551)(1731,3550)(1732,3549)(1733,3548)(1734,3547)(1735,3546)(1736,3545)(1737,3544)(1738,3543)(1739,3542)(1740,3541)(1741,3540)(1742,3539)(1743,3538)(1744,3537)(1745,3536)(1746,3535)(1747,3534)(1748,3533)(1749,3532)(1750,3531)(1751,3530)(1752,3529)(1753,3528)(1754,3527)(1755,3526)(1756,3525)(1757,3524)(1758,3523)(1759,3522)(1760,3521)(1761,3520)(1762,3519)(1763,3518)(1764,3517)(1765,3516)(1766,3515)(1767,3514)(1768,3513)(1769,3512)(1770,3511)(1771,3510)(1772,3509)(1773,3508)(1774,3507)(1775,3506)(1776,3505)(1777,3504)(1778,3503)(1779,3502)(1780,3501)(1781,3500)(1782,3499)(1783,3498)(1784,3497)(1785,3496)(1786,3495)(1787,3494)(1788,3493)(1789,3492)(1790,3491)(1791,3490)(1792,3489)(1793,3488)(1794,3487)(1795,3486)(1796,3485)(1797,3484)(1798,3483)(1799,3482)(1800,3481)(1801,3480)(1802,3479)(1803,3478)(1804,3477)(1805,3476)(1806,3475)(1807,3474)(1808,3473)(1809,3472)(1810,3471)(1811,3470)(1812,3469)(1813,3468)(1814,3467)(1815,3466)(1816,3465)(1817,3464)(1818,3463)(1819,3462)(1820,3461)(1821,3460)(1822,3459)(1823,3458)(1824,3457)(1825,3456)(1826,3455)(1827,3454)(1828,3453)(1829,3452)(1830,3451)(1831,3450)(1832,3449)(1833,3448)(1834,3447)(1835,3446)(1836,3445)(1837,3444)(1838,3443)(1839,3442)(1840,3441)(1841,3440)(1842,3439)(1843,3438)(1844,3437)(1845,3436)(1846,3435)(1847,3434)(1848,3433)(1849,3432)(1850,3431)(1851,3430)(1852,3429)(1853,3428)(1854,3427)(1855,3426)(1856,3425)(1857,3424)(1858,3423)(1859,3422)(1860,3421)(1861,3420)(1862,3419)(1863,3418)(1864,3417)(1865,3416)(1866,3415)(1867,3414)(1868,3413)(1869,3412)(1870,3411)(1871,3410)(1872,3409)(1873,3408)(1874,3407)(1875,3406)(1876,3405)(1877,3404)(1878,3403)(1879,3402)(1880,3401)(1881,3400)(1882,3399)(1883,3398)(1884,3397)(1885,3396)(1886,3395)(1887,3394)(1888,3393)(1889,3392)(1890,3391)(1891,3390)(1892,3389)(1893,3388)(1894,3387)(1895,3386)(1896,3385)(1897,3384)(1898,3383)(1899,3382)(1900,3381)(1901,3380)(1902,3379)(1903,3378)(1904,3377)(1905,3376)(1906,3375)(1907,3374)(1908,3373)(1909,3372)(1910,3371)(1911,3370)(1912,3369)(1913,3368)(1914,3367)(1915,3366)(1916,3365)(1917,3364)(1918,3363)(1919,3362)(1920,3361)(1921,3360)(1922,3359)(1923,3358)(1924,3357)(1925,3356)(1926,3355)(1927,3354)(1928,3353)(1929,3352)(1930,3351)(1931,3350)(1932,3349)(1933,3348)(1934,3347)(1935,3346)(1936,3345)(1937,3344)(1938,3343)(1939,3342)(1940,3341)(1941,3340)(1942,3339)(1943,3338)(1944,3337)(1945,3336)(1946,3335)(1947,3334)(1948,3333)(1949,3332)(1950,3331)(1951,3330)(1952,3329)(1953,3328)(1954,3327)(1955,3326)(1956,3325)(1957,3324)(1958,3323)(1959,3322)(1960,3321)(1961,3320)(1962,3319)(1963,3318)(1964,3317)(1965,3316)(1966,3315)(1967,3314)(1968,3313)(1969,3312)(1970,3311)(1971,3310)(1972,3309)(1973,3308)(1974,3307)(1975,3306)(1976,3305)(1977,3304)(1978,3303)(1979,3302)(1980,3301)(1981,3300)(1982,3299)(1983,3298)(1984,3297)(1985,3296)(1986,3295)(1987,3294)(1988,3293)(1989,3292)(1990,3291)(1991,3290)(1992,3289)(1993,3288)(1994,3287)(1995,3286)(1996,3285)(1997,3284)(1998,3283)(1999,3282)(2000,3281)(2001,3280)(2002,3279)(2003,3278)(2004,3277)(2005,3276)(2006,3275)(2007,3274)(2008,3273)(2009,3272)(2010,3271)(2011,3270)(2012,3269)(2013,3268)(2014,3267)(2015,3266)(2016,3265)(2017,3264)(2018,3263)(2019,3262)(2020,3261)(2021,3260)(2022,3259)(2023,3258)(2024,3257)(2025,3256)(2026,3255)(2027,3254)(2028,3253)(2029,3252)(2030,3251)(2031,3250)(2032,3249)(2033,3248)(2034,3247)(2035,3246)(2036,3245)(2037,3244)(2038,3243)(2039,3242)(2040,3241)(2041,3240)(2042,3239)(2043,3238)(2044,3237)(2045,3236)(2046,3235)(2047,3234)(2048,3233)(2049,3232)(2050,3231)(2051,3230)(2052,3229)(2053,3228)(2054,3227)(2055,3226)(2056,3225)(2057,3224)(2058,3223)(2059,3222)(2060,3221)(2061,3220)(2062,3219)(2063,3218)(2064,3217)(2065,3216)(2066,3215)(2067,3214)(2068,3213)(2069,3212)(2070,3211)(2071,3210)(2072,3209)(2073,3208)(2074,3207)(2075,3206)(2076,3205)(2077,3204)(2078,3203)(2079,3202)(2080,3201)(2081,3200)(2082,3199)(2083,3198)(2084,3197)(2085,3196)(2086,3195)(2087,3194)(2088,3193)(2089,3192)(2090,3191)(2091,3190)(2092,3189)(2093,3188)(2094,3187)(2095,3186)(2096,3185)(2097,3184)(2098,3183)(2099,3182)(2100,3181)(2101,3180)(2102,3179)(2103,3178)(2104,3177)(2105,3176)(2106,3175)(2107,3174)(2108,3173)(2109,3172)(2110,3171)(2111,3170)(2112,3169)(2113,3168)(2114,3167)(2115,3166)(2116,3165)(2117,3164)(2118,3163)(2119,3162)(2120,3161)(2121,3160)(2122,3159)(2123,3158)(2124,3157)(2125,3156)(2126,3155)(2127,3154)(2128,3153)(2129,3152)(2130,3151)(2131,3150)(2132,3149)(2133,3148)(2134,3147)(2135,3146)(2136,3145)(2137,3144)(2138,3143)(2139,3142)(2140,3141)(2141,3140)(2142,3139)(2143,3138)(2144,3137)(2145,3136)(2146,3135)(2147,3134)(2148,3133)(2149,3132)(2150,3131)(2151,3130)(2152,3129)(2153,3128)(2154,3127)(2155,3126)(2156,3125)(2157,3124)(2158,3123)(2159,3122)(2160,3121)(2161,3120)(2162,3119)(2163,3118)(2164,3117)(2165,3116)(2166,3115)(2167,3114)(2168,3113)(2169,3112)(2170,3111)(2171,3110)(2172,3109)(2173,3108)(2174,3107)(2175,3106)(2176,3105)(2177,3104)(2178,3103)(2179,3102)(2180,3101)(2181,3100)(2182,3099)(2183,3098)(2184,3097)(2185,3096)(2186,3095)(2187,3094)(2188,3093)(2189,3092)(2190,3091)(2191,3090)(2192,3089)(2193,3088)(2194,3087)(2195,3086)(2196,3085)(2197,3084)(2198,3083)(2199,3082)(2200,3081)(2201,3080)(2202,3079)(2203,3078)(2204,3077)(2205,3076)(2206,3075)(2207,3074)(2208,3073)(2209,3072)(2210,3071)(2211,3070)(2212,3069)(2213,3068)(2214,3067)(2215,3066)(2216,3065)(2217,3064)(2218,3063)(2219,3062)(2220,3061)(2221,3060)(2222,3059)(2223,3058)(2224,3057)(2225,3056)(2226,3055)(2227,3054)(2228,3053)(2229,3052)(2230,3051)(2231,3050)(2232,3049)(2233,3048)(2234,3047)(2235,3046)(2236,3045)(2237,3044)(2238,3043)(2239,3042)(2240,3041)(2241,3040)(2242,3039)(2243,3038)(2244,3037)(2245,3036)(2246,3035)(2247,3034)(2248,3033)(2249,3032)(2250,3031)(2251,3030)(2252,3029)(2253,3028)(2254,3027)(2255,3026)(2256,3025)(2257,3024)(2258,3023)(2259,3022)(2260,3021)(2261,3020)(2262,3019)(2263,3018)(2264,3017)(2265,3016)(2266,3015)(2267,3014)(2268,3013)(2269,3012)(2270,3011)(2271,3010)(2272,3009)(2273,3008)(2274,3007)(2275,3006)(2276,3005)(2277,3004)(2278,3003)(2279,3002)(2280,3001)(2281,3000)(2282,2999)(2283,2998)(2284,2997)(2285,2996)(2286,2995)(2287,2994)(2288,2993)(2289,2992)(2290,2991)(2291,2990)(2292,2989)(2293,2988)(2294,2987)(2295,2986)(2296,2985)(2297,2984)(2298,2983)(2299,2982)(2300,2981)(2301,2980)(2302,2979)(2303,2978)(2304,2977)(2305,2976)(2306,2975)(2307,2974)(2308,2973)(2309,2972)(2310,2971)(2311,2970)(2312,2969)(2313,2968)(2314,2967)(2315,2966)(2316,2965)(2317,2964)(2318,2963)(2319,2962)(2320,2961)(2321,2960)(2322,2959)(2323,2958)(2324,2957)(2325,2956)(2326,2955)(2327,2954)(2328,2953)(2329,2952)(2330,2951)(2331,2950)(2332,2949)(2333,2948)(2334,2947)(2335,2946)(2336,2945)(2337,2944)(2338,2943)(2339,2942)(2340,2941)(2341,2940)(2342,2939)(2343,2938)(2344,2937)(2345,2936)(2346,2935)(2347,2934)(2348,2933)(2349,2932)(2350,2931)(2351,2930)(2352,2929)(2353,2928)(2354,2927)(2355,2926)(2356,2925)(2357,2924)(2358,2923)(2359,2922)(2360,2921)(2361,2920)(2362,2919)(2363,2918)(2364,2917)(2365,2916)(2366,2915)(2367,2914)(2368,2913)(2369,2912)(2370,2911)(2371,2910)(2372,2909)(2373,2908)(2374,2907)(2375,2906)(2376,2905)(2377,2904)(2378,2903)(2379,2902)(2380,2901)(2381,2900)(2382,2899)(2383,2898)(2384,2897)(2385,2896)(2386,2895)(2387,2894)(2388,2893)(2389,2892)(2390,2891)(2391,2890)(2392,2889)(2393,2888)(2394,2887)(2395,2886)(2396,2885)(2397,2884)(2398,2883)(2399,2882)(2400,2881)(2401,2880)(2402,2879)(2403,2878)(2404,2877)(2405,2876)(2406,2875)(2407,2874)(2408,2873)(2409,2872)(2410,2871)(2411,2870)(2412,2869)(2413,2868)(2414,2867)(2415,2866)(2416,2865)(2417,2864)(2418,2863)(2419,2862)(2420,2861)(2421,2860)(2422,2859)(2423,2858)(2424,2857)(2425,2856)(2426,2855)(2427,2854)(2428,2853)(2429,2852)(2430,2851)(2431,2850)(2432,2849)(2433,2848)(2434,2847)(2435,2846)(2436,2845)(2437,2844)(2438,2843)(2439,2842)(2440,2841)(2441,2840)(2442,2839)(2443,2838)(2444,2837)(2445,2836)(2446,2835)(2447,2834)(2448,2833)(2449,2832)(2450,2831)(2451,2830)(2452,2829)(2453,2828)(2454,2827)(2455,2826)(2456,2825)(2457,2824)(2458,2823)(2459,2822)(2460,2821)(2461,2820)(2462,2819)(2463,2818)(2464,2817)(2465,2816)(2466,2815)(2467,2814)(2468,2813)(2469,2812)(2470,2811)(2471,2810)(2472,2809)(2473,2808)(2474,2807)(2475,2806)(2476,2805)(2477,2804)(2478,2803)(2479,2802)(2480,2801)(2481,2800)(2482,2799)(2483,2798)(2484,2797)(2485,2796)(2486,2795)(2487,2794)(2488,2793)(2489,2792)(2490,2791)(2491,2790)(2492,2789)(2493,2788)(2494,2787)(2495,2786)(2496,2785)(2497,2784)(2498,2783)(2499,2782)(2500,2781)(2501,2780)(2502,2779)(2503,2778)(2504,2777)(2505,2776)(2506,2775)(2507,2774)(2508,2773)(2509,2772)(2510,2771)(2511,2770)(2512,2769)(2513,2768)(2514,2767)(2515,2766)(2516,2765)(2517,2764)(2518,2763)(2519,2762)(2520,2761)(2521,2760)(2522,2759)(2523,2758)(2524,2757)(2525,2756)(2526,2755)(2527,2754)(2528,2753)(2529,2752)(2530,2751)(2531,2750)(2532,2749)(2533,2748)(2534,2747)(2535,2746)(2536,2745)(2537,2744)(2538,2743)(2539,2742)(2540,2741)(2541,2740)(2542,2739)(2543,2738)(2544,2737)(2545,2736)(2546,2735)(2547,2734)(2548,2733)(2549,2732)(2550,2731)(2551,2730)(2552,2729)(2553,2728)(2554,2727)(2555,2726)(2556,2725)(2557,2724)(2558,2723)(2559,2722)(2560,2721)(2561,2720)(2562,2719)(2563,2718)(2564,2717)(2565,2716)(2566,2715)(2567,2714)(2568,2713)(2569,2712)(2570,2711)(2571,2710)(2572,2709)(2573,2708)(2574,2707)(2575,2706)(2576,2705)(2577,2704)(2578,2703)(2579,2702)(2580,2701)(2581,2700)(2582,2699)(2583,2698)(2584,2697)(2585,2696)(2586,2695)(2587,2694)(2588,2693)(2589,2692)(2590,2691)(2591,2690)(2592,2689)(2593,2688)(2594,2687)(2595,2686)(2596,2685)(2597,2684)(2598,2683)(2599,2682)(2600,2681)(2601,2680)(2602,2679)(2603,2678)(2604,2677)(2605,2676)(2606,2675)(2607,2674)(2608,2673)(2609,2672)(2610,2671)(2611,2670)(2612,2669)(2613,2668)(2614,2667)(2615,2666)(2616,2665)(2617,2664)(2618,2663)(2619,2662)(2620,2661)(2621,2660)(2622,2659)(2623,2658)(2624,2657)(2625,2656)(2626,2655)(2627,2654)(2628,2653)(2629,2652)(2630,2651)(2631,2650)(2632,2649)(2633,2648)(2634,2647)(2635,2646)(2636,2645)(2637,2644)(2638,2643)(2639,2642)(2640,2641)

Polycyclic presentation:

2,3,5273|b^a=b^2,c^a=c^5272

Conjugacy classes & character table

7911 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of	C₂×D₁₅₈₁₉
maximal normal subgroup of	C₂×D₁₅₈₁₉
maximal quotient of	Dic₁₅₈₁₉, C₂×D₁₅₈₁₉

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31638, 3);

D15819 #44539505