Finite Group DatabasebetaFinite Group Databasebeta| order | 24666 |
| automorphism | ? |
| homology | Abelianization (H1) = C2 · Schur multiplier (H2) = C1 |
| dihedral | D12333 |
| unambiguous semidirect product | C3⋊D4111 |
| unambiguous semidirect product | C4111⋊D3 |
| Fitting, socle, derived, Hall | C3×C4111 ⋊ C2 |
| Sylow | C4111 ⋊ D3 |
| Sylow | C3 ⋊ D4111 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C3×C4111 | C2 |
| LCS | G ▷ C3×C4111 | |
| UCS | C1 | |
8 conjugacy classes of subgroups.
| minimal degree | μ(G) = 4114 |
| transitive degree | μt(G) = 12333 |
A minimal faithful permutation representation — 2 generators on 4114 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);(2,3)(5,4114)(6,4113)(7,4112)(8,4111)(9,4110)(10,4109)(11,4108)(12,4107)(13,4106)(14,4105)(15,4104)(16,4103)(17,4102)(18,4101)(19,4100)(20,4099)(21,4098)(22,4097)(23,4096)(24,4095)(25,4094)(26,4093)(27,4092)(28,4091)(29,4090)(30,4089)(31,4088)(32,4087)(33,4086)(34,4085)(35,4084)(36,4083)(37,4082)(38,4081)(39,4080)(40,4079)(41,4078)(42,4077)(43,4076)(44,4075)(45,4074)(46,4073)(47,4072)(48,4071)(49,4070)(50,4069)(51,4068)(52,4067)(53,4066)(54,4065)(55,4064)(56,4063)(57,4062)(58,4061)(59,4060)(60,4059)(61,4058)(62,4057)(63,4056)(64,4055)(65,4054)(66,4053)(67,4052)(68,4051)(69,4050)(70,4049)(71,4048)(72,4047)(73,4046)(74,4045)(75,4044)(76,4043)(77,4042)(78,4041)(79,4040)(80,4039)(81,4038)(82,4037)(83,4036)(84,4035)(85,4034)(86,4033)(87,4032)(88,4031)(89,4030)(90,4029)(91,4028)(92,4027)(93,4026)(94,4025)(95,4024)(96,4023)(97,4022)(98,4021)(99,4020)(100,4019)(101,4018)(102,4017)(103,4016)(104,4015)(105,4014)(106,4013)(107,4012)(108,4011)(109,4010)(110,4009)(111,4008)(112,4007)(113,4006)(114,4005)(115,4004)(116,4003)(117,4002)(118,4001)(119,4000)(120,3999)(121,3998)(122,3997)(123,3996)(124,3995)(125,3994)(126,3993)(127,3992)(128,3991)(129,3990)(130,3989)(131,3988)(132,3987)(133,3986)(134,3985)(135,3984)(136,3983)(137,3982)(138,3981)(139,3980)(140,3979)(141,3978)(142,3977)(143,3976)(144,3975)(145,3974)(146,3973)(147,3972)(148,3971)(149,3970)(150,3969)(151,3968)(152,3967)(153,3966)(154,3965)(155,3964)(156,3963)(157,3962)(158,3961)(159,3960)(160,3959)(161,3958)(162,3957)(163,3956)(164,3955)(165,3954)(166,3953)(167,3952)(168,3951)(169,3950)(170,3949)(171,3948)(172,3947)(173,3946)(174,3945)(175,3944)(176,3943)(177,3942)(178,3941)(179,3940)(180,3939)(181,3938)(182,3937)(183,3936)(184,3935)(185,3934)(186,3933)(187,3932)(188,3931)(189,3930)(190,3929)(191,3928)(192,3927)(193,3926)(194,3925)(195,3924)(196,3923)(197,3922)(198,3921)(199,3920)(200,3919)(201,3918)(202,3917)(203,3916)(204,3915)(205,3914)(206,3913)(207,3912)(208,3911)(209,3910)(210,3909)(211,3908)(212,3907)(213,3906)(214,3905)(215,3904)(216,3903)(217,3902)(218,3901)(219,3900)(220,3899)(221,3898)(222,3897)(223,3896)(224,3895)(225,3894)(226,3893)(227,3892)(228,3891)(229,3890)(230,3889)(231,3888)(232,3887)(233,3886)(234,3885)(235,3884)(236,3883)(237,3882)(238,3881)(239,3880)(240,3879)(241,3878)(242,3877)(243,3876)(244,3875)(245,3874)(246,3873)(247,3872)(248,3871)(249,3870)(250,3869)(251,3868)(252,3867)(253,3866)(254,3865)(255,3864)(256,3863)(257,3862)(258,3861)(259,3860)(260,3859)(261,3858)(262,3857)(263,3856)(264,3855)(265,3854)(266,3853)(267,3852)(268,3851)(269,3850)(270,3849)(271,3848)(272,3847)(273,3846)(274,3845)(275,3844)(276,3843)(277,3842)(278,3841)(279,3840)(280,3839)(281,3838)(282,3837)(283,3836)(284,3835)(285,3834)(286,3833)(287,3832)(288,3831)(289,3830)(290,3829)(291,3828)(292,3827)(293,3826)(294,3825)(295,3824)(296,3823)(297,3822)(298,3821)(299,3820)(300,3819)(301,3818)(302,3817)(303,3816)(304,3815)(305,3814)(306,3813)(307,3812)(308,3811)(309,3810)(310,3809)(311,3808)(312,3807)(313,3806)(314,3805)(315,3804)(316,3803)(317,3802)(318,3801)(319,3800)(320,3799)(321,3798)(322,3797)(323,3796)(324,3795)(325,3794)(326,3793)(327,3792)(328,3791)(329,3790)(330,3789)(331,3788)(332,3787)(333,3786)(334,3785)(335,3784)(336,3783)(337,3782)(338,3781)(339,3780)(340,3779)(341,3778)(342,3777)(343,3776)(344,3775)(345,3774)(346,3773)(347,3772)(348,3771)(349,3770)(350,3769)(351,3768)(352,3767)(353,3766)(354,3765)(355,3764)(356,3763)(357,3762)(358,3761)(359,3760)(360,3759)(361,3758)(362,3757)(363,3756)(364,3755)(365,3754)(366,3753)(367,3752)(368,3751)(369,3750)(370,3749)(371,3748)(372,3747)(373,3746)(374,3745)(375,3744)(376,3743)(377,3742)(378,3741)(379,3740)(380,3739)(381,3738)(382,3737)(383,3736)(384,3735)(385,3734)(386,3733)(387,3732)(388,3731)(389,3730)(390,3729)(391,3728)(392,3727)(393,3726)(394,3725)(395,3724)(396,3723)(397,3722)(398,3721)(399,3720)(400,3719)(401,3718)(402,3717)(403,3716)(404,3715)(405,3714)(406,3713)(407,3712)(408,3711)(409,3710)(410,3709)(411,3708)(412,3707)(413,3706)(414,3705)(415,3704)(416,3703)(417,3702)(418,3701)(419,3700)(420,3699)(421,3698)(422,3697)(423,3696)(424,3695)(425,3694)(426,3693)(427,3692)(428,3691)(429,3690)(430,3689)(431,3688)(432,3687)(433,3686)(434,3685)(435,3684)(436,3683)(437,3682)(438,3681)(439,3680)(440,3679)(441,3678)(442,3677)(443,3676)(444,3675)(445,3674)(446,3673)(447,3672)(448,3671)(449,3670)(450,3669)(451,3668)(452,3667)(453,3666)(454,3665)(455,3664)(456,3663)(457,3662)(458,3661)(459,3660)(460,3659)(461,3658)(462,3657)(463,3656)(464,3655)(465,3654)(466,3653)(467,3652)(468,3651)(469,3650)(470,3649)(471,3648)(472,3647)(473,3646)(474,3645)(475,3644)(476,3643)(477,3642)(478,3641)(479,3640)(480,3639)(481,3638)(482,3637)(483,3636)(484,3635)(485,3634)(486,3633)(487,3632)(488,3631)(489,3630)(490,3629)(491,3628)(492,3627)(493,3626)(494,3625)(495,3624)(496,3623)(497,3622)(498,3621)(499,3620)(500,3619)(501,3618)(502,3617)(503,3616)(504,3615)(505,3614)(506,3613)(507,3612)(508,3611)(509,3610)(510,3609)(511,3608)(512,3607)(513,3606)(514,3605)(515,3604)(516,3603)(517,3602)(518,3601)(519,3600)(520,3599)(521,3598)(522,3597)(523,3596)(524,3595)(525,3594)(526,3593)(527,3592)(528,3591)(529,3590)(530,3589)(531,3588)(532,3587)(533,3586)(534,3585)(535,3584)(536,3583)(537,3582)(538,3581)(539,3580)(540,3579)(541,3578)(542,3577)(543,3576)(544,3575)(545,3574)(546,3573)(547,3572)(548,3571)(549,3570)(550,3569)(551,3568)(552,3567)(553,3566)(554,3565)(555,3564)(556,3563)(557,3562)(558,3561)(559,3560)(560,3559)(561,3558)(562,3557)(563,3556)(564,3555)(565,3554)(566,3553)(567,3552)(568,3551)(569,3550)(570,3549)(571,3548)(572,3547)(573,3546)(574,3545)(575,3544)(576,3543)(577,3542)(578,3541)(579,3540)(580,3539)(581,3538)(582,3537)(583,3536)(584,3535)(585,3534)(586,3533)(587,3532)(588,3531)(589,3530)(590,3529)(591,3528)(592,3527)(593,3526)(594,3525)(595,3524)(596,3523)(597,3522)(598,3521)(599,3520)(600,3519)(601,3518)(602,3517)(603,3516)(604,3515)(605,3514)(606,3513)(607,3512)(608,3511)(609,3510)(610,3509)(611,3508)(612,3507)(613,3506)(614,3505)(615,3504)(616,3503)(617,3502)(618,3501)(619,3500)(620,3499)(621,3498)(622,3497)(623,3496)(624,3495)(625,3494)(626,3493)(627,3492)(628,3491)(629,3490)(630,3489)(631,3488)(632,3487)(633,3486)(634,3485)(635,3484)(636,3483)(637,3482)(638,3481)(639,3480)(640,3479)(641,3478)(642,3477)(643,3476)(644,3475)(645,3474)(646,3473)(647,3472)(648,3471)(649,3470)(650,3469)(651,3468)(652,3467)(653,3466)(654,3465)(655,3464)(656,3463)(657,3462)(658,3461)(659,3460)(660,3459)(661,3458)(662,3457)(663,3456)(664,3455)(665,3454)(666,3453)(667,3452)(668,3451)(669,3450)(670,3449)(671,3448)(672,3447)(673,3446)(674,3445)(675,3444)(676,3443)(677,3442)(678,3441)(679,3440)(680,3439)(681,3438)(682,3437)(683,3436)(684,3435)(685,3434)(686,3433)(687,3432)(688,3431)(689,3430)(690,3429)(691,3428)(692,3427)(693,3426)(694,3425)(695,3424)(696,3423)(697,3422)(698,3421)(699,3420)(700,3419)(701,3418)(702,3417)(703,3416)(704,3415)(705,3414)(706,3413)(707,3412)(708,3411)(709,3410)(710,3409)(711,3408)(712,3407)(713,3406)(714,3405)(715,3404)(716,3403)(717,3402)(718,3401)(719,3400)(720,3399)(721,3398)(722,3397)(723,3396)(724,3395)(725,3394)(726,3393)(727,3392)(728,3391)(729,3390)(730,3389)(731,3388)(732,3387)(733,3386)(734,3385)(735,3384)(736,3383)(737,3382)(738,3381)(739,3380)(740,3379)(741,3378)(742,3377)(743,3376)(744,3375)(745,3374)(746,3373)(747,3372)(748,3371)(749,3370)(750,3369)(751,3368)(752,3367)(753,3366)(754,3365)(755,3364)(756,3363)(757,3362)(758,3361)(759,3360)(760,3359)(761,3358)(762,3357)(763,3356)(764,3355)(765,3354)(766,3353)(767,3352)(768,3351)(769,3350)(770,3349)(771,3348)(772,3347)(773,3346)(774,3345)(775,3344)(776,3343)(777,3342)(778,3341)(779,3340)(780,3339)(781,3338)(782,3337)(783,3336)(784,3335)(785,3334)(786,3333)(787,3332)(788,3331)(789,3330)(790,3329)(791,3328)(792,3327)(793,3326)(794,3325)(795,3324)(796,3323)(797,3322)(798,3321)(799,3320)(800,3319)(801,3318)(802,3317)(803,3316)(804,3315)(805,3314)(806,3313)(807,3312)(808,3311)(809,3310)(810,3309)(811,3308)(812,3307)(813,3306)(814,3305)(815,3304)(816,3303)(817,3302)(818,3301)(819,3300)(820,3299)(821,3298)(822,3297)(823,3296)(824,3295)(825,3294)(826,3293)(827,3292)(828,3291)(829,3290)(830,3289)(831,3288)(832,3287)(833,3286)(834,3285)(835,3284)(836,3283)(837,3282)(838,3281)(839,3280)(840,3279)(841,3278)(842,3277)(843,3276)(844,3275)(845,3274)(846,3273)(847,3272)(848,3271)(849,3270)(850,3269)(851,3268)(852,3267)(853,3266)(854,3265)(855,3264)(856,3263)(857,3262)(858,3261)(859,3260)(860,3259)(861,3258)(862,3257)(863,3256)(864,3255)(865,3254)(866,3253)(867,3252)(868,3251)(869,3250)(870,3249)(871,3248)(872,3247)(873,3246)(874,3245)(875,3244)(876,3243)(877,3242)(878,3241)(879,3240)(880,3239)(881,3238)(882,3237)(883,3236)(884,3235)(885,3234)(886,3233)(887,3232)(888,3231)(889,3230)(890,3229)(891,3228)(892,3227)(893,3226)(894,3225)(895,3224)(896,3223)(897,3222)(898,3221)(899,3220)(900,3219)(901,3218)(902,3217)(903,3216)(904,3215)(905,3214)(906,3213)(907,3212)(908,3211)(909,3210)(910,3209)(911,3208)(912,3207)(913,3206)(914,3205)(915,3204)(916,3203)(917,3202)(918,3201)(919,3200)(920,3199)(921,3198)(922,3197)(923,3196)(924,3195)(925,3194)(926,3193)(927,3192)(928,3191)(929,3190)(930,3189)(931,3188)(932,3187)(933,3186)(934,3185)(935,3184)(936,3183)(937,3182)(938,3181)(939,3180)(940,3179)(941,3178)(942,3177)(943,3176)(944,3175)(945,3174)(946,3173)(947,3172)(948,3171)(949,3170)(950,3169)(951,3168)(952,3167)(953,3166)(954,3165)(955,3164)(956,3163)(957,3162)(958,3161)(959,3160)(960,3159)(961,3158)(962,3157)(963,3156)(964,3155)(965,3154)(966,3153)(967,3152)(968,3151)(969,3150)(970,3149)(971,3148)(972,3147)(973,3146)(974,3145)(975,3144)(976,3143)(977,3142)(978,3141)(979,3140)(980,3139)(981,3138)(982,3137)(983,3136)(984,3135)(985,3134)(986,3133)(987,3132)(988,3131)(989,3130)(990,3129)(991,3128)(992,3127)(993,3126)(994,3125)(995,3124)(996,3123)(997,3122)(998,3121)(999,3120)(1000,3119)(1001,3118)(1002,3117)(1003,3116)(1004,3115)(1005,3114)(1006,3113)(1007,3112)(1008,3111)(1009,3110)(1010,3109)(1011,3108)(1012,3107)(1013,3106)(1014,3105)(1015,3104)(1016,3103)(1017,3102)(1018,3101)(1019,3100)(1020,3099)(1021,3098)(1022,3097)(1023,3096)(1024,3095)(1025,3094)(1026,3093)(1027,3092)(1028,3091)(1029,3090)(1030,3089)(1031,3088)(1032,3087)(1033,3086)(1034,3085)(1035,3084)(1036,3083)(1037,3082)(1038,3081)(1039,3080)(1040,3079)(1041,3078)(1042,3077)(1043,3076)(1044,3075)(1045,3074)(1046,3073)(1047,3072)(1048,3071)(1049,3070)(1050,3069)(1051,3068)(1052,3067)(1053,3066)(1054,3065)(1055,3064)(1056,3063)(1057,3062)(1058,3061)(1059,3060)(1060,3059)(1061,3058)(1062,3057)(1063,3056)(1064,3055)(1065,3054)(1066,3053)(1067,3052)(1068,3051)(1069,3050)(1070,3049)(1071,3048)(1072,3047)(1073,3046)(1074,3045)(1075,3044)(1076,3043)(1077,3042)(1078,3041)(1079,3040)(1080,3039)(1081,3038)(1082,3037)(1083,3036)(1084,3035)(1085,3034)(1086,3033)(1087,3032)(1088,3031)(1089,3030)(1090,3029)(1091,3028)(1092,3027)(1093,3026)(1094,3025)(1095,3024)(1096,3023)(1097,3022)(1098,3021)(1099,3020)(1100,3019)(1101,3018)(1102,3017)(1103,3016)(1104,3015)(1105,3014)(1106,3013)(1107,3012)(1108,3011)(1109,3010)(1110,3009)(1111,3008)(1112,3007)(1113,3006)(1114,3005)(1115,3004)(1116,3003)(1117,3002)(1118,3001)(1119,3000)(1120,2999)(1121,2998)(1122,2997)(1123,2996)(1124,2995)(1125,2994)(1126,2993)(1127,2992)(1128,2991)(1129,2990)(1130,2989)(1131,2988)(1132,2987)(1133,2986)(1134,2985)(1135,2984)(1136,2983)(1137,2982)(1138,2981)(1139,2980)(1140,2979)(1141,2978)(1142,2977)(1143,2976)(1144,2975)(1145,2974)(1146,2973)(1147,2972)(1148,2971)(1149,2970)(1150,2969)(1151,2968)(1152,2967)(1153,2966)(1154,2965)(1155,2964)(1156,2963)(1157,2962)(1158,2961)(1159,2960)(1160,2959)(1161,2958)(1162,2957)(1163,2956)(1164,2955)(1165,2954)(1166,2953)(1167,2952)(1168,2951)(1169,2950)(1170,2949)(1171,2948)(1172,2947)(1173,2946)(1174,2945)(1175,2944)(1176,2943)(1177,2942)(1178,2941)(1179,2940)(1180,2939)(1181,2938)(1182,2937)(1183,2936)(1184,2935)(1185,2934)(1186,2933)(1187,2932)(1188,2931)(1189,2930)(1190,2929)(1191,2928)(1192,2927)(1193,2926)(1194,2925)(1195,2924)(1196,2923)(1197,2922)(1198,2921)(1199,2920)(1200,2919)(1201,2918)(1202,2917)(1203,2916)(1204,2915)(1205,2914)(1206,2913)(1207,2912)(1208,2911)(1209,2910)(1210,2909)(1211,2908)(1212,2907)(1213,2906)(1214,2905)(1215,2904)(1216,2903)(1217,2902)(1218,2901)(1219,2900)(1220,2899)(1221,2898)(1222,2897)(1223,2896)(1224,2895)(1225,2894)(1226,2893)(1227,2892)(1228,2891)(1229,2890)(1230,2889)(1231,2888)(1232,2887)(1233,2886)(1234,2885)(1235,2884)(1236,2883)(1237,2882)(1238,2881)(1239,2880)(1240,2879)(1241,2878)(1242,2877)(1243,2876)(1244,2875)(1245,2874)(1246,2873)(1247,2872)(1248,2871)(1249,2870)(1250,2869)(1251,2868)(1252,2867)(1253,2866)(1254,2865)(1255,2864)(1256,2863)(1257,2862)(1258,2861)(1259,2860)(1260,2859)(1261,2858)(1262,2857)(1263,2856)(1264,2855)(1265,2854)(1266,2853)(1267,2852)(1268,2851)(1269,2850)(1270,2849)(1271,2848)(1272,2847)(1273,2846)(1274,2845)(1275,2844)(1276,2843)(1277,2842)(1278,2841)(1279,2840)(1280,2839)(1281,2838)(1282,2837)(1283,2836)(1284,2835)(1285,2834)(1286,2833)(1287,2832)(1288,2831)(1289,2830)(1290,2829)(1291,2828)(1292,2827)(1293,2826)(1294,2825)(1295,2824)(1296,2823)(1297,2822)(1298,2821)(1299,2820)(1300,2819)(1301,2818)(1302,2817)(1303,2816)(1304,2815)(1305,2814)(1306,2813)(1307,2812)(1308,2811)(1309,2810)(1310,2809)(1311,2808)(1312,2807)(1313,2806)(1314,2805)(1315,2804)(1316,2803)(1317,2802)(1318,2801)(1319,2800)(1320,2799)(1321,2798)(1322,2797)(1323,2796)(1324,2795)(1325,2794)(1326,2793)(1327,2792)(1328,2791)(1329,2790)(1330,2789)(1331,2788)(1332,2787)(1333,2786)(1334,2785)(1335,2784)(1336,2783)(1337,2782)(1338,2781)(1339,2780)(1340,2779)(1341,2778)(1342,2777)(1343,2776)(1344,2775)(1345,2774)(1346,2773)(1347,2772)(1348,2771)(1349,2770)(1350,2769)(1351,2768)(1352,2767)(1353,2766)(1354,2765)(1355,2764)(1356,2763)(1357,2762)(1358,2761)(1359,2760)(1360,2759)(1361,2758)(1362,2757)(1363,2756)(1364,2755)(1365,2754)(1366,2753)(1367,2752)(1368,2751)(1369,2750)(1370,2749)(1371,2748)(1372,2747)(1373,2746)(1374,2745)(1375,2744)(1376,2743)(1377,2742)(1378,2741)(1379,2740)(1380,2739)(1381,2738)(1382,2737)(1383,2736)(1384,2735)(1385,2734)(1386,2733)(1387,2732)(1388,2731)(1389,2730)(1390,2729)(1391,2728)(1392,2727)(1393,2726)(1394,2725)(1395,2724)(1396,2723)(1397,2722)(1398,2721)(1399,2720)(1400,2719)(1401,2718)(1402,2717)(1403,2716)(1404,2715)(1405,2714)(1406,2713)(1407,2712)(1408,2711)(1409,2710)(1410,2709)(1411,2708)(1412,2707)(1413,2706)(1414,2705)(1415,2704)(1416,2703)(1417,2702)(1418,2701)(1419,2700)(1420,2699)(1421,2698)(1422,2697)(1423,2696)(1424,2695)(1425,2694)(1426,2693)(1427,2692)(1428,2691)(1429,2690)(1430,2689)(1431,2688)(1432,2687)(1433,2686)(1434,2685)(1435,2684)(1436,2683)(1437,2682)(1438,2681)(1439,2680)(1440,2679)(1441,2678)(1442,2677)(1443,2676)(1444,2675)(1445,2674)(1446,2673)(1447,2672)(1448,2671)(1449,2670)(1450,2669)(1451,2668)(1452,2667)(1453,2666)(1454,2665)(1455,2664)(1456,2663)(1457,2662)(1458,2661)(1459,2660)(1460,2659)(1461,2658)(1462,2657)(1463,2656)(1464,2655)(1465,2654)(1466,2653)(1467,2652)(1468,2651)(1469,2650)(1470,2649)(1471,2648)(1472,2647)(1473,2646)(1474,2645)(1475,2644)(1476,2643)(1477,2642)(1478,2641)(1479,2640)(1480,2639)(1481,2638)(1482,2637)(1483,2636)(1484,2635)(1485,2634)(1486,2633)(1487,2632)(1488,2631)(1489,2630)(1490,2629)(1491,2628)(1492,2627)(1493,2626)(1494,2625)(1495,2624)(1496,2623)(1497,2622)(1498,2621)(1499,2620)(1500,2619)(1501,2618)(1502,2617)(1503,2616)(1504,2615)(1505,2614)(1506,2613)(1507,2612)(1508,2611)(1509,2610)(1510,2609)(1511,2608)(1512,2607)(1513,2606)(1514,2605)(1515,2604)(1516,2603)(1517,2602)(1518,2601)(1519,2600)(1520,2599)(1521,2598)(1522,2597)(1523,2596)(1524,2595)(1525,2594)(1526,2593)(1527,2592)(1528,2591)(1529,2590)(1530,2589)(1531,2588)(1532,2587)(1533,2586)(1534,2585)(1535,2584)(1536,2583)(1537,2582)(1538,2581)(1539,2580)(1540,2579)(1541,2578)(1542,2577)(1543,2576)(1544,2575)(1545,2574)(1546,2573)(1547,2572)(1548,2571)(1549,2570)(1550,2569)(1551,2568)(1552,2567)(1553,2566)(1554,2565)(1555,2564)(1556,2563)(1557,2562)(1558,2561)(1559,2560)(1560,2559)(1561,2558)(1562,2557)(1563,2556)(1564,2555)(1565,2554)(1566,2553)(1567,2552)(1568,2551)(1569,2550)(1570,2549)(1571,2548)(1572,2547)(1573,2546)(1574,2545)(1575,2544)(1576,2543)(1577,2542)(1578,2541)(1579,2540)(1580,2539)(1581,2538)(1582,2537)(1583,2536)(1584,2535)(1585,2534)(1586,2533)(1587,2532)(1588,2531)(1589,2530)(1590,2529)(1591,2528)(1592,2527)(1593,2526)(1594,2525)(1595,2524)(1596,2523)(1597,2522)(1598,2521)(1599,2520)(1600,2519)(1601,2518)(1602,2517)(1603,2516)(1604,2515)(1605,2514)(1606,2513)(1607,2512)(1608,2511)(1609,2510)(1610,2509)(1611,2508)(1612,2507)(1613,2506)(1614,2505)(1615,2504)(1616,2503)(1617,2502)(1618,2501)(1619,2500)(1620,2499)(1621,2498)(1622,2497)(1623,2496)(1624,2495)(1625,2494)(1626,2493)(1627,2492)(1628,2491)(1629,2490)(1630,2489)(1631,2488)(1632,2487)(1633,2486)(1634,2485)(1635,2484)(1636,2483)(1637,2482)(1638,2481)(1639,2480)(1640,2479)(1641,2478)(1642,2477)(1643,2476)(1644,2475)(1645,2474)(1646,2473)(1647,2472)(1648,2471)(1649,2470)(1650,2469)(1651,2468)(1652,2467)(1653,2466)(1654,2465)(1655,2464)(1656,2463)(1657,2462)(1658,2461)(1659,2460)(1660,2459)(1661,2458)(1662,2457)(1663,2456)(1664,2455)(1665,2454)(1666,2453)(1667,2452)(1668,2451)(1669,2450)(1670,2449)(1671,2448)(1672,2447)(1673,2446)(1674,2445)(1675,2444)(1676,2443)(1677,2442)(1678,2441)(1679,2440)(1680,2439)(1681,2438)(1682,2437)(1683,2436)(1684,2435)(1685,2434)(1686,2433)(1687,2432)(1688,2431)(1689,2430)(1690,2429)(1691,2428)(1692,2427)(1693,2426)(1694,2425)(1695,2424)(1696,2423)(1697,2422)(1698,2421)(1699,2420)(1700,2419)(1701,2418)(1702,2417)(1703,2416)(1704,2415)(1705,2414)(1706,2413)(1707,2412)(1708,2411)(1709,2410)(1710,2409)(1711,2408)(1712,2407)(1713,2406)(1714,2405)(1715,2404)(1716,2403)(1717,2402)(1718,2401)(1719,2400)(1720,2399)(1721,2398)(1722,2397)(1723,2396)(1724,2395)(1725,2394)(1726,2393)(1727,2392)(1728,2391)(1729,2390)(1730,2389)(1731,2388)(1732,2387)(1733,2386)(1734,2385)(1735,2384)(1736,2383)(1737,2382)(1738,2381)(1739,2380)(1740,2379)(1741,2378)(1742,2377)(1743,2376)(1744,2375)(1745,2374)(1746,2373)(1747,2372)(1748,2371)(1749,2370)(1750,2369)(1751,2368)(1752,2367)(1753,2366)(1754,2365)(1755,2364)(1756,2363)(1757,2362)(1758,2361)(1759,2360)(1760,2359)(1761,2358)(1762,2357)(1763,2356)(1764,2355)(1765,2354)(1766,2353)(1767,2352)(1768,2351)(1769,2350)(1770,2349)(1771,2348)(1772,2347)(1773,2346)(1774,2345)(1775,2344)(1776,2343)(1777,2342)(1778,2341)(1779,2340)(1780,2339)(1781,2338)(1782,2337)(1783,2336)(1784,2335)(1785,2334)(1786,2333)(1787,2332)(1788,2331)(1789,2330)(1790,2329)(1791,2328)(1792,2327)(1793,2326)(1794,2325)(1795,2324)(1796,2323)(1797,2322)(1798,2321)(1799,2320)(1800,2319)(1801,2318)(1802,2317)(1803,2316)(1804,2315)(1805,2314)(1806,2313)(1807,2312)(1808,2311)(1809,2310)(1810,2309)(1811,2308)(1812,2307)(1813,2306)(1814,2305)(1815,2304)(1816,2303)(1817,2302)(1818,2301)(1819,2300)(1820,2299)(1821,2298)(1822,2297)(1823,2296)(1824,2295)(1825,2294)(1826,2293)(1827,2292)(1828,2291)(1829,2290)(1830,2289)(1831,2288)(1832,2287)(1833,2286)(1834,2285)(1835,2284)(1836,2283)(1837,2282)(1838,2281)(1839,2280)(1840,2279)(1841,2278)(1842,2277)(1843,2276)(1844,2275)(1845,2274)(1846,2273)(1847,2272)(1848,2271)(1849,2270)(1850,2269)(1851,2268)(1852,2267)(1853,2266)(1854,2265)(1855,2264)(1856,2263)(1857,2262)(1858,2261)(1859,2260)(1860,2259)(1861,2258)(1862,2257)(1863,2256)(1864,2255)(1865,2254)(1866,2253)(1867,2252)(1868,2251)(1869,2250)(1870,2249)(1871,2248)(1872,2247)(1873,2246)(1874,2245)(1875,2244)(1876,2243)(1877,2242)(1878,2241)(1879,2240)(1880,2239)(1881,2238)(1882,2237)(1883,2236)(1884,2235)(1885,2234)(1886,2233)(1887,2232)(1888,2231)(1889,2230)(1890,2229)(1891,2228)(1892,2227)(1893,2226)(1894,2225)(1895,2224)(1896,2223)(1897,2222)(1898,2221)(1899,2220)(1900,2219)(1901,2218)(1902,2217)(1903,2216)(1904,2215)(1905,2214)(1906,2213)(1907,2212)(1908,2211)(1909,2210)(1910,2209)(1911,2208)(1912,2207)(1913,2206)(1914,2205)(1915,2204)(1916,2203)(1917,2202)(1918,2201)(1919,2200)(1920,2199)(1921,2198)(1922,2197)(1923,2196)(1924,2195)(1925,2194)(1926,2193)(1927,2192)(1928,2191)(1929,2190)(1930,2189)(1931,2188)(1932,2187)(1933,2186)(1934,2185)(1935,2184)(1936,2183)(1937,2182)(1938,2181)(1939,2180)(1940,2179)(1941,2178)(1942,2177)(1943,2176)(1944,2175)(1945,2174)(1946,2173)(1947,2172)(1948,2171)(1949,2170)(1950,2169)(1951,2168)(1952,2167)(1953,2166)(1954,2165)(1955,2164)(1956,2163)(1957,2162)(1958,2161)(1959,2160)(1960,2159)(1961,2158)(1962,2157)(1963,2156)(1964,2155)(1965,2154)(1966,2153)(1967,2152)(1968,2151)(1969,2150)(1970,2149)(1971,2148)(1972,2147)(1973,2146)(1974,2145)(1975,2144)(1976,2143)(1977,2142)(1978,2141)(1979,2140)(1980,2139)(1981,2138)(1982,2137)(1983,2136)(1984,2135)(1985,2134)(1986,2133)(1987,2132)(1988,2131)(1989,2130)(1990,2129)(1991,2128)(1992,2127)(1993,2126)(1994,2125)(1995,2124)(1996,2123)(1997,2122)(1998,2121)(1999,2120)(2000,2119)(2001,2118)(2002,2117)(2003,2116)(2004,2115)(2005,2114)(2006,2113)(2007,2112)(2008,2111)(2009,2110)(2010,2109)(2011,2108)(2012,2107)(2013,2106)(2014,2105)(2015,2104)(2016,2103)(2017,2102)(2018,2101)(2019,2100)(2020,2099)(2021,2098)(2022,2097)(2023,2096)(2024,2095)(2025,2094)(2026,2093)(2027,2092)(2028,2091)(2029,2090)(2030,2089)(2031,2088)(2032,2087)(2033,2086)(2034,2085)(2035,2084)(2036,2083)(2037,2082)(2038,2081)(2039,2080)(2040,2079)(2041,2078)(2042,2077)(2043,2076)(2044,2075)(2045,2074)(2046,2073)(2047,2072)(2048,2071)(2049,2070)(2050,2069)(2051,2068)(2052,2067)(2053,2066)(2054,2065)(2055,2064)(2056,2063)(2057,2062)(2058,2061)(2059,2060)Polycyclic presentation:
2,3,4111|b^a=b^2,c^a=c^41106168 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24666, 5);