Finite Group DatabasebetaFinite Group Databasebeta| order | 22434 |
| automorphism | ? |
| homology | Abelianization (H1) = C2 · Schur multiplier (H2) = C1 |
| dihedral | D11217 |
| unambiguous semidirect product | C3⋊D3739 |
| unambiguous semidirect product | C3739⋊D3 |
| Fitting, socle, derived, Hall | C3×C3739 ⋊ C2 |
| Sylow | C3739 ⋊ D3 |
| Sylow | C3 ⋊ D3739 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C3×C3739 | C2 |
| LCS | G ▷ C3×C3739 | |
| UCS | C1 | |
8 conjugacy classes of subgroups.
| minimal degree | μ(G) = 3742 |
| transitive degree | μt(G) = 11217 |
A minimal faithful permutation representation — 2 generators on 3742 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);(2,3)(5,3742)(6,3741)(7,3740)(8,3739)(9,3738)(10,3737)(11,3736)(12,3735)(13,3734)(14,3733)(15,3732)(16,3731)(17,3730)(18,3729)(19,3728)(20,3727)(21,3726)(22,3725)(23,3724)(24,3723)(25,3722)(26,3721)(27,3720)(28,3719)(29,3718)(30,3717)(31,3716)(32,3715)(33,3714)(34,3713)(35,3712)(36,3711)(37,3710)(38,3709)(39,3708)(40,3707)(41,3706)(42,3705)(43,3704)(44,3703)(45,3702)(46,3701)(47,3700)(48,3699)(49,3698)(50,3697)(51,3696)(52,3695)(53,3694)(54,3693)(55,3692)(56,3691)(57,3690)(58,3689)(59,3688)(60,3687)(61,3686)(62,3685)(63,3684)(64,3683)(65,3682)(66,3681)(67,3680)(68,3679)(69,3678)(70,3677)(71,3676)(72,3675)(73,3674)(74,3673)(75,3672)(76,3671)(77,3670)(78,3669)(79,3668)(80,3667)(81,3666)(82,3665)(83,3664)(84,3663)(85,3662)(86,3661)(87,3660)(88,3659)(89,3658)(90,3657)(91,3656)(92,3655)(93,3654)(94,3653)(95,3652)(96,3651)(97,3650)(98,3649)(99,3648)(100,3647)(101,3646)(102,3645)(103,3644)(104,3643)(105,3642)(106,3641)(107,3640)(108,3639)(109,3638)(110,3637)(111,3636)(112,3635)(113,3634)(114,3633)(115,3632)(116,3631)(117,3630)(118,3629)(119,3628)(120,3627)(121,3626)(122,3625)(123,3624)(124,3623)(125,3622)(126,3621)(127,3620)(128,3619)(129,3618)(130,3617)(131,3616)(132,3615)(133,3614)(134,3613)(135,3612)(136,3611)(137,3610)(138,3609)(139,3608)(140,3607)(141,3606)(142,3605)(143,3604)(144,3603)(145,3602)(146,3601)(147,3600)(148,3599)(149,3598)(150,3597)(151,3596)(152,3595)(153,3594)(154,3593)(155,3592)(156,3591)(157,3590)(158,3589)(159,3588)(160,3587)(161,3586)(162,3585)(163,3584)(164,3583)(165,3582)(166,3581)(167,3580)(168,3579)(169,3578)(170,3577)(171,3576)(172,3575)(173,3574)(174,3573)(175,3572)(176,3571)(177,3570)(178,3569)(179,3568)(180,3567)(181,3566)(182,3565)(183,3564)(184,3563)(185,3562)(186,3561)(187,3560)(188,3559)(189,3558)(190,3557)(191,3556)(192,3555)(193,3554)(194,3553)(195,3552)(196,3551)(197,3550)(198,3549)(199,3548)(200,3547)(201,3546)(202,3545)(203,3544)(204,3543)(205,3542)(206,3541)(207,3540)(208,3539)(209,3538)(210,3537)(211,3536)(212,3535)(213,3534)(214,3533)(215,3532)(216,3531)(217,3530)(218,3529)(219,3528)(220,3527)(221,3526)(222,3525)(223,3524)(224,3523)(225,3522)(226,3521)(227,3520)(228,3519)(229,3518)(230,3517)(231,3516)(232,3515)(233,3514)(234,3513)(235,3512)(236,3511)(237,3510)(238,3509)(239,3508)(240,3507)(241,3506)(242,3505)(243,3504)(244,3503)(245,3502)(246,3501)(247,3500)(248,3499)(249,3498)(250,3497)(251,3496)(252,3495)(253,3494)(254,3493)(255,3492)(256,3491)(257,3490)(258,3489)(259,3488)(260,3487)(261,3486)(262,3485)(263,3484)(264,3483)(265,3482)(266,3481)(267,3480)(268,3479)(269,3478)(270,3477)(271,3476)(272,3475)(273,3474)(274,3473)(275,3472)(276,3471)(277,3470)(278,3469)(279,3468)(280,3467)(281,3466)(282,3465)(283,3464)(284,3463)(285,3462)(286,3461)(287,3460)(288,3459)(289,3458)(290,3457)(291,3456)(292,3455)(293,3454)(294,3453)(295,3452)(296,3451)(297,3450)(298,3449)(299,3448)(300,3447)(301,3446)(302,3445)(303,3444)(304,3443)(305,3442)(306,3441)(307,3440)(308,3439)(309,3438)(310,3437)(311,3436)(312,3435)(313,3434)(314,3433)(315,3432)(316,3431)(317,3430)(318,3429)(319,3428)(320,3427)(321,3426)(322,3425)(323,3424)(324,3423)(325,3422)(326,3421)(327,3420)(328,3419)(329,3418)(330,3417)(331,3416)(332,3415)(333,3414)(334,3413)(335,3412)(336,3411)(337,3410)(338,3409)(339,3408)(340,3407)(341,3406)(342,3405)(343,3404)(344,3403)(345,3402)(346,3401)(347,3400)(348,3399)(349,3398)(350,3397)(351,3396)(352,3395)(353,3394)(354,3393)(355,3392)(356,3391)(357,3390)(358,3389)(359,3388)(360,3387)(361,3386)(362,3385)(363,3384)(364,3383)(365,3382)(366,3381)(367,3380)(368,3379)(369,3378)(370,3377)(371,3376)(372,3375)(373,3374)(374,3373)(375,3372)(376,3371)(377,3370)(378,3369)(379,3368)(380,3367)(381,3366)(382,3365)(383,3364)(384,3363)(385,3362)(386,3361)(387,3360)(388,3359)(389,3358)(390,3357)(391,3356)(392,3355)(393,3354)(394,3353)(395,3352)(396,3351)(397,3350)(398,3349)(399,3348)(400,3347)(401,3346)(402,3345)(403,3344)(404,3343)(405,3342)(406,3341)(407,3340)(408,3339)(409,3338)(410,3337)(411,3336)(412,3335)(413,3334)(414,3333)(415,3332)(416,3331)(417,3330)(418,3329)(419,3328)(420,3327)(421,3326)(422,3325)(423,3324)(424,3323)(425,3322)(426,3321)(427,3320)(428,3319)(429,3318)(430,3317)(431,3316)(432,3315)(433,3314)(434,3313)(435,3312)(436,3311)(437,3310)(438,3309)(439,3308)(440,3307)(441,3306)(442,3305)(443,3304)(444,3303)(445,3302)(446,3301)(447,3300)(448,3299)(449,3298)(450,3297)(451,3296)(452,3295)(453,3294)(454,3293)(455,3292)(456,3291)(457,3290)(458,3289)(459,3288)(460,3287)(461,3286)(462,3285)(463,3284)(464,3283)(465,3282)(466,3281)(467,3280)(468,3279)(469,3278)(470,3277)(471,3276)(472,3275)(473,3274)(474,3273)(475,3272)(476,3271)(477,3270)(478,3269)(479,3268)(480,3267)(481,3266)(482,3265)(483,3264)(484,3263)(485,3262)(486,3261)(487,3260)(488,3259)(489,3258)(490,3257)(491,3256)(492,3255)(493,3254)(494,3253)(495,3252)(496,3251)(497,3250)(498,3249)(499,3248)(500,3247)(501,3246)(502,3245)(503,3244)(504,3243)(505,3242)(506,3241)(507,3240)(508,3239)(509,3238)(510,3237)(511,3236)(512,3235)(513,3234)(514,3233)(515,3232)(516,3231)(517,3230)(518,3229)(519,3228)(520,3227)(521,3226)(522,3225)(523,3224)(524,3223)(525,3222)(526,3221)(527,3220)(528,3219)(529,3218)(530,3217)(531,3216)(532,3215)(533,3214)(534,3213)(535,3212)(536,3211)(537,3210)(538,3209)(539,3208)(540,3207)(541,3206)(542,3205)(543,3204)(544,3203)(545,3202)(546,3201)(547,3200)(548,3199)(549,3198)(550,3197)(551,3196)(552,3195)(553,3194)(554,3193)(555,3192)(556,3191)(557,3190)(558,3189)(559,3188)(560,3187)(561,3186)(562,3185)(563,3184)(564,3183)(565,3182)(566,3181)(567,3180)(568,3179)(569,3178)(570,3177)(571,3176)(572,3175)(573,3174)(574,3173)(575,3172)(576,3171)(577,3170)(578,3169)(579,3168)(580,3167)(581,3166)(582,3165)(583,3164)(584,3163)(585,3162)(586,3161)(587,3160)(588,3159)(589,3158)(590,3157)(591,3156)(592,3155)(593,3154)(594,3153)(595,3152)(596,3151)(597,3150)(598,3149)(599,3148)(600,3147)(601,3146)(602,3145)(603,3144)(604,3143)(605,3142)(606,3141)(607,3140)(608,3139)(609,3138)(610,3137)(611,3136)(612,3135)(613,3134)(614,3133)(615,3132)(616,3131)(617,3130)(618,3129)(619,3128)(620,3127)(621,3126)(622,3125)(623,3124)(624,3123)(625,3122)(626,3121)(627,3120)(628,3119)(629,3118)(630,3117)(631,3116)(632,3115)(633,3114)(634,3113)(635,3112)(636,3111)(637,3110)(638,3109)(639,3108)(640,3107)(641,3106)(642,3105)(643,3104)(644,3103)(645,3102)(646,3101)(647,3100)(648,3099)(649,3098)(650,3097)(651,3096)(652,3095)(653,3094)(654,3093)(655,3092)(656,3091)(657,3090)(658,3089)(659,3088)(660,3087)(661,3086)(662,3085)(663,3084)(664,3083)(665,3082)(666,3081)(667,3080)(668,3079)(669,3078)(670,3077)(671,3076)(672,3075)(673,3074)(674,3073)(675,3072)(676,3071)(677,3070)(678,3069)(679,3068)(680,3067)(681,3066)(682,3065)(683,3064)(684,3063)(685,3062)(686,3061)(687,3060)(688,3059)(689,3058)(690,3057)(691,3056)(692,3055)(693,3054)(694,3053)(695,3052)(696,3051)(697,3050)(698,3049)(699,3048)(700,3047)(701,3046)(702,3045)(703,3044)(704,3043)(705,3042)(706,3041)(707,3040)(708,3039)(709,3038)(710,3037)(711,3036)(712,3035)(713,3034)(714,3033)(715,3032)(716,3031)(717,3030)(718,3029)(719,3028)(720,3027)(721,3026)(722,3025)(723,3024)(724,3023)(725,3022)(726,3021)(727,3020)(728,3019)(729,3018)(730,3017)(731,3016)(732,3015)(733,3014)(734,3013)(735,3012)(736,3011)(737,3010)(738,3009)(739,3008)(740,3007)(741,3006)(742,3005)(743,3004)(744,3003)(745,3002)(746,3001)(747,3000)(748,2999)(749,2998)(750,2997)(751,2996)(752,2995)(753,2994)(754,2993)(755,2992)(756,2991)(757,2990)(758,2989)(759,2988)(760,2987)(761,2986)(762,2985)(763,2984)(764,2983)(765,2982)(766,2981)(767,2980)(768,2979)(769,2978)(770,2977)(771,2976)(772,2975)(773,2974)(774,2973)(775,2972)(776,2971)(777,2970)(778,2969)(779,2968)(780,2967)(781,2966)(782,2965)(783,2964)(784,2963)(785,2962)(786,2961)(787,2960)(788,2959)(789,2958)(790,2957)(791,2956)(792,2955)(793,2954)(794,2953)(795,2952)(796,2951)(797,2950)(798,2949)(799,2948)(800,2947)(801,2946)(802,2945)(803,2944)(804,2943)(805,2942)(806,2941)(807,2940)(808,2939)(809,2938)(810,2937)(811,2936)(812,2935)(813,2934)(814,2933)(815,2932)(816,2931)(817,2930)(818,2929)(819,2928)(820,2927)(821,2926)(822,2925)(823,2924)(824,2923)(825,2922)(826,2921)(827,2920)(828,2919)(829,2918)(830,2917)(831,2916)(832,2915)(833,2914)(834,2913)(835,2912)(836,2911)(837,2910)(838,2909)(839,2908)(840,2907)(841,2906)(842,2905)(843,2904)(844,2903)(845,2902)(846,2901)(847,2900)(848,2899)(849,2898)(850,2897)(851,2896)(852,2895)(853,2894)(854,2893)(855,2892)(856,2891)(857,2890)(858,2889)(859,2888)(860,2887)(861,2886)(862,2885)(863,2884)(864,2883)(865,2882)(866,2881)(867,2880)(868,2879)(869,2878)(870,2877)(871,2876)(872,2875)(873,2874)(874,2873)(875,2872)(876,2871)(877,2870)(878,2869)(879,2868)(880,2867)(881,2866)(882,2865)(883,2864)(884,2863)(885,2862)(886,2861)(887,2860)(888,2859)(889,2858)(890,2857)(891,2856)(892,2855)(893,2854)(894,2853)(895,2852)(896,2851)(897,2850)(898,2849)(899,2848)(900,2847)(901,2846)(902,2845)(903,2844)(904,2843)(905,2842)(906,2841)(907,2840)(908,2839)(909,2838)(910,2837)(911,2836)(912,2835)(913,2834)(914,2833)(915,2832)(916,2831)(917,2830)(918,2829)(919,2828)(920,2827)(921,2826)(922,2825)(923,2824)(924,2823)(925,2822)(926,2821)(927,2820)(928,2819)(929,2818)(930,2817)(931,2816)(932,2815)(933,2814)(934,2813)(935,2812)(936,2811)(937,2810)(938,2809)(939,2808)(940,2807)(941,2806)(942,2805)(943,2804)(944,2803)(945,2802)(946,2801)(947,2800)(948,2799)(949,2798)(950,2797)(951,2796)(952,2795)(953,2794)(954,2793)(955,2792)(956,2791)(957,2790)(958,2789)(959,2788)(960,2787)(961,2786)(962,2785)(963,2784)(964,2783)(965,2782)(966,2781)(967,2780)(968,2779)(969,2778)(970,2777)(971,2776)(972,2775)(973,2774)(974,2773)(975,2772)(976,2771)(977,2770)(978,2769)(979,2768)(980,2767)(981,2766)(982,2765)(983,2764)(984,2763)(985,2762)(986,2761)(987,2760)(988,2759)(989,2758)(990,2757)(991,2756)(992,2755)(993,2754)(994,2753)(995,2752)(996,2751)(997,2750)(998,2749)(999,2748)(1000,2747)(1001,2746)(1002,2745)(1003,2744)(1004,2743)(1005,2742)(1006,2741)(1007,2740)(1008,2739)(1009,2738)(1010,2737)(1011,2736)(1012,2735)(1013,2734)(1014,2733)(1015,2732)(1016,2731)(1017,2730)(1018,2729)(1019,2728)(1020,2727)(1021,2726)(1022,2725)(1023,2724)(1024,2723)(1025,2722)(1026,2721)(1027,2720)(1028,2719)(1029,2718)(1030,2717)(1031,2716)(1032,2715)(1033,2714)(1034,2713)(1035,2712)(1036,2711)(1037,2710)(1038,2709)(1039,2708)(1040,2707)(1041,2706)(1042,2705)(1043,2704)(1044,2703)(1045,2702)(1046,2701)(1047,2700)(1048,2699)(1049,2698)(1050,2697)(1051,2696)(1052,2695)(1053,2694)(1054,2693)(1055,2692)(1056,2691)(1057,2690)(1058,2689)(1059,2688)(1060,2687)(1061,2686)(1062,2685)(1063,2684)(1064,2683)(1065,2682)(1066,2681)(1067,2680)(1068,2679)(1069,2678)(1070,2677)(1071,2676)(1072,2675)(1073,2674)(1074,2673)(1075,2672)(1076,2671)(1077,2670)(1078,2669)(1079,2668)(1080,2667)(1081,2666)(1082,2665)(1083,2664)(1084,2663)(1085,2662)(1086,2661)(1087,2660)(1088,2659)(1089,2658)(1090,2657)(1091,2656)(1092,2655)(1093,2654)(1094,2653)(1095,2652)(1096,2651)(1097,2650)(1098,2649)(1099,2648)(1100,2647)(1101,2646)(1102,2645)(1103,2644)(1104,2643)(1105,2642)(1106,2641)(1107,2640)(1108,2639)(1109,2638)(1110,2637)(1111,2636)(1112,2635)(1113,2634)(1114,2633)(1115,2632)(1116,2631)(1117,2630)(1118,2629)(1119,2628)(1120,2627)(1121,2626)(1122,2625)(1123,2624)(1124,2623)(1125,2622)(1126,2621)(1127,2620)(1128,2619)(1129,2618)(1130,2617)(1131,2616)(1132,2615)(1133,2614)(1134,2613)(1135,2612)(1136,2611)(1137,2610)(1138,2609)(1139,2608)(1140,2607)(1141,2606)(1142,2605)(1143,2604)(1144,2603)(1145,2602)(1146,2601)(1147,2600)(1148,2599)(1149,2598)(1150,2597)(1151,2596)(1152,2595)(1153,2594)(1154,2593)(1155,2592)(1156,2591)(1157,2590)(1158,2589)(1159,2588)(1160,2587)(1161,2586)(1162,2585)(1163,2584)(1164,2583)(1165,2582)(1166,2581)(1167,2580)(1168,2579)(1169,2578)(1170,2577)(1171,2576)(1172,2575)(1173,2574)(1174,2573)(1175,2572)(1176,2571)(1177,2570)(1178,2569)(1179,2568)(1180,2567)(1181,2566)(1182,2565)(1183,2564)(1184,2563)(1185,2562)(1186,2561)(1187,2560)(1188,2559)(1189,2558)(1190,2557)(1191,2556)(1192,2555)(1193,2554)(1194,2553)(1195,2552)(1196,2551)(1197,2550)(1198,2549)(1199,2548)(1200,2547)(1201,2546)(1202,2545)(1203,2544)(1204,2543)(1205,2542)(1206,2541)(1207,2540)(1208,2539)(1209,2538)(1210,2537)(1211,2536)(1212,2535)(1213,2534)(1214,2533)(1215,2532)(1216,2531)(1217,2530)(1218,2529)(1219,2528)(1220,2527)(1221,2526)(1222,2525)(1223,2524)(1224,2523)(1225,2522)(1226,2521)(1227,2520)(1228,2519)(1229,2518)(1230,2517)(1231,2516)(1232,2515)(1233,2514)(1234,2513)(1235,2512)(1236,2511)(1237,2510)(1238,2509)(1239,2508)(1240,2507)(1241,2506)(1242,2505)(1243,2504)(1244,2503)(1245,2502)(1246,2501)(1247,2500)(1248,2499)(1249,2498)(1250,2497)(1251,2496)(1252,2495)(1253,2494)(1254,2493)(1255,2492)(1256,2491)(1257,2490)(1258,2489)(1259,2488)(1260,2487)(1261,2486)(1262,2485)(1263,2484)(1264,2483)(1265,2482)(1266,2481)(1267,2480)(1268,2479)(1269,2478)(1270,2477)(1271,2476)(1272,2475)(1273,2474)(1274,2473)(1275,2472)(1276,2471)(1277,2470)(1278,2469)(1279,2468)(1280,2467)(1281,2466)(1282,2465)(1283,2464)(1284,2463)(1285,2462)(1286,2461)(1287,2460)(1288,2459)(1289,2458)(1290,2457)(1291,2456)(1292,2455)(1293,2454)(1294,2453)(1295,2452)(1296,2451)(1297,2450)(1298,2449)(1299,2448)(1300,2447)(1301,2446)(1302,2445)(1303,2444)(1304,2443)(1305,2442)(1306,2441)(1307,2440)(1308,2439)(1309,2438)(1310,2437)(1311,2436)(1312,2435)(1313,2434)(1314,2433)(1315,2432)(1316,2431)(1317,2430)(1318,2429)(1319,2428)(1320,2427)(1321,2426)(1322,2425)(1323,2424)(1324,2423)(1325,2422)(1326,2421)(1327,2420)(1328,2419)(1329,2418)(1330,2417)(1331,2416)(1332,2415)(1333,2414)(1334,2413)(1335,2412)(1336,2411)(1337,2410)(1338,2409)(1339,2408)(1340,2407)(1341,2406)(1342,2405)(1343,2404)(1344,2403)(1345,2402)(1346,2401)(1347,2400)(1348,2399)(1349,2398)(1350,2397)(1351,2396)(1352,2395)(1353,2394)(1354,2393)(1355,2392)(1356,2391)(1357,2390)(1358,2389)(1359,2388)(1360,2387)(1361,2386)(1362,2385)(1363,2384)(1364,2383)(1365,2382)(1366,2381)(1367,2380)(1368,2379)(1369,2378)(1370,2377)(1371,2376)(1372,2375)(1373,2374)(1374,2373)(1375,2372)(1376,2371)(1377,2370)(1378,2369)(1379,2368)(1380,2367)(1381,2366)(1382,2365)(1383,2364)(1384,2363)(1385,2362)(1386,2361)(1387,2360)(1388,2359)(1389,2358)(1390,2357)(1391,2356)(1392,2355)(1393,2354)(1394,2353)(1395,2352)(1396,2351)(1397,2350)(1398,2349)(1399,2348)(1400,2347)(1401,2346)(1402,2345)(1403,2344)(1404,2343)(1405,2342)(1406,2341)(1407,2340)(1408,2339)(1409,2338)(1410,2337)(1411,2336)(1412,2335)(1413,2334)(1414,2333)(1415,2332)(1416,2331)(1417,2330)(1418,2329)(1419,2328)(1420,2327)(1421,2326)(1422,2325)(1423,2324)(1424,2323)(1425,2322)(1426,2321)(1427,2320)(1428,2319)(1429,2318)(1430,2317)(1431,2316)(1432,2315)(1433,2314)(1434,2313)(1435,2312)(1436,2311)(1437,2310)(1438,2309)(1439,2308)(1440,2307)(1441,2306)(1442,2305)(1443,2304)(1444,2303)(1445,2302)(1446,2301)(1447,2300)(1448,2299)(1449,2298)(1450,2297)(1451,2296)(1452,2295)(1453,2294)(1454,2293)(1455,2292)(1456,2291)(1457,2290)(1458,2289)(1459,2288)(1460,2287)(1461,2286)(1462,2285)(1463,2284)(1464,2283)(1465,2282)(1466,2281)(1467,2280)(1468,2279)(1469,2278)(1470,2277)(1471,2276)(1472,2275)(1473,2274)(1474,2273)(1475,2272)(1476,2271)(1477,2270)(1478,2269)(1479,2268)(1480,2267)(1481,2266)(1482,2265)(1483,2264)(1484,2263)(1485,2262)(1486,2261)(1487,2260)(1488,2259)(1489,2258)(1490,2257)(1491,2256)(1492,2255)(1493,2254)(1494,2253)(1495,2252)(1496,2251)(1497,2250)(1498,2249)(1499,2248)(1500,2247)(1501,2246)(1502,2245)(1503,2244)(1504,2243)(1505,2242)(1506,2241)(1507,2240)(1508,2239)(1509,2238)(1510,2237)(1511,2236)(1512,2235)(1513,2234)(1514,2233)(1515,2232)(1516,2231)(1517,2230)(1518,2229)(1519,2228)(1520,2227)(1521,2226)(1522,2225)(1523,2224)(1524,2223)(1525,2222)(1526,2221)(1527,2220)(1528,2219)(1529,2218)(1530,2217)(1531,2216)(1532,2215)(1533,2214)(1534,2213)(1535,2212)(1536,2211)(1537,2210)(1538,2209)(1539,2208)(1540,2207)(1541,2206)(1542,2205)(1543,2204)(1544,2203)(1545,2202)(1546,2201)(1547,2200)(1548,2199)(1549,2198)(1550,2197)(1551,2196)(1552,2195)(1553,2194)(1554,2193)(1555,2192)(1556,2191)(1557,2190)(1558,2189)(1559,2188)(1560,2187)(1561,2186)(1562,2185)(1563,2184)(1564,2183)(1565,2182)(1566,2181)(1567,2180)(1568,2179)(1569,2178)(1570,2177)(1571,2176)(1572,2175)(1573,2174)(1574,2173)(1575,2172)(1576,2171)(1577,2170)(1578,2169)(1579,2168)(1580,2167)(1581,2166)(1582,2165)(1583,2164)(1584,2163)(1585,2162)(1586,2161)(1587,2160)(1588,2159)(1589,2158)(1590,2157)(1591,2156)(1592,2155)(1593,2154)(1594,2153)(1595,2152)(1596,2151)(1597,2150)(1598,2149)(1599,2148)(1600,2147)(1601,2146)(1602,2145)(1603,2144)(1604,2143)(1605,2142)(1606,2141)(1607,2140)(1608,2139)(1609,2138)(1610,2137)(1611,2136)(1612,2135)(1613,2134)(1614,2133)(1615,2132)(1616,2131)(1617,2130)(1618,2129)(1619,2128)(1620,2127)(1621,2126)(1622,2125)(1623,2124)(1624,2123)(1625,2122)(1626,2121)(1627,2120)(1628,2119)(1629,2118)(1630,2117)(1631,2116)(1632,2115)(1633,2114)(1634,2113)(1635,2112)(1636,2111)(1637,2110)(1638,2109)(1639,2108)(1640,2107)(1641,2106)(1642,2105)(1643,2104)(1644,2103)(1645,2102)(1646,2101)(1647,2100)(1648,2099)(1649,2098)(1650,2097)(1651,2096)(1652,2095)(1653,2094)(1654,2093)(1655,2092)(1656,2091)(1657,2090)(1658,2089)(1659,2088)(1660,2087)(1661,2086)(1662,2085)(1663,2084)(1664,2083)(1665,2082)(1666,2081)(1667,2080)(1668,2079)(1669,2078)(1670,2077)(1671,2076)(1672,2075)(1673,2074)(1674,2073)(1675,2072)(1676,2071)(1677,2070)(1678,2069)(1679,2068)(1680,2067)(1681,2066)(1682,2065)(1683,2064)(1684,2063)(1685,2062)(1686,2061)(1687,2060)(1688,2059)(1689,2058)(1690,2057)(1691,2056)(1692,2055)(1693,2054)(1694,2053)(1695,2052)(1696,2051)(1697,2050)(1698,2049)(1699,2048)(1700,2047)(1701,2046)(1702,2045)(1703,2044)(1704,2043)(1705,2042)(1706,2041)(1707,2040)(1708,2039)(1709,2038)(1710,2037)(1711,2036)(1712,2035)(1713,2034)(1714,2033)(1715,2032)(1716,2031)(1717,2030)(1718,2029)(1719,2028)(1720,2027)(1721,2026)(1722,2025)(1723,2024)(1724,2023)(1725,2022)(1726,2021)(1727,2020)(1728,2019)(1729,2018)(1730,2017)(1731,2016)(1732,2015)(1733,2014)(1734,2013)(1735,2012)(1736,2011)(1737,2010)(1738,2009)(1739,2008)(1740,2007)(1741,2006)(1742,2005)(1743,2004)(1744,2003)(1745,2002)(1746,2001)(1747,2000)(1748,1999)(1749,1998)(1750,1997)(1751,1996)(1752,1995)(1753,1994)(1754,1993)(1755,1992)(1756,1991)(1757,1990)(1758,1989)(1759,1988)(1760,1987)(1761,1986)(1762,1985)(1763,1984)(1764,1983)(1765,1982)(1766,1981)(1767,1980)(1768,1979)(1769,1978)(1770,1977)(1771,1976)(1772,1975)(1773,1974)(1774,1973)(1775,1972)(1776,1971)(1777,1970)(1778,1969)(1779,1968)(1780,1967)(1781,1966)(1782,1965)(1783,1964)(1784,1963)(1785,1962)(1786,1961)(1787,1960)(1788,1959)(1789,1958)(1790,1957)(1791,1956)(1792,1955)(1793,1954)(1794,1953)(1795,1952)(1796,1951)(1797,1950)(1798,1949)(1799,1948)(1800,1947)(1801,1946)(1802,1945)(1803,1944)(1804,1943)(1805,1942)(1806,1941)(1807,1940)(1808,1939)(1809,1938)(1810,1937)(1811,1936)(1812,1935)(1813,1934)(1814,1933)(1815,1932)(1816,1931)(1817,1930)(1818,1929)(1819,1928)(1820,1927)(1821,1926)(1822,1925)(1823,1924)(1824,1923)(1825,1922)(1826,1921)(1827,1920)(1828,1919)(1829,1918)(1830,1917)(1831,1916)(1832,1915)(1833,1914)(1834,1913)(1835,1912)(1836,1911)(1837,1910)(1838,1909)(1839,1908)(1840,1907)(1841,1906)(1842,1905)(1843,1904)(1844,1903)(1845,1902)(1846,1901)(1847,1900)(1848,1899)(1849,1898)(1850,1897)(1851,1896)(1852,1895)(1853,1894)(1854,1893)(1855,1892)(1856,1891)(1857,1890)(1858,1889)(1859,1888)(1860,1887)(1861,1886)(1862,1885)(1863,1884)(1864,1883)(1865,1882)(1866,1881)(1867,1880)(1868,1879)(1869,1878)(1870,1877)(1871,1876)(1872,1875)(1873,1874)Polycyclic presentation:
2,3,3739|b^a=b^2,c^a=c^37385610 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22434, 5);