Finite Group DatabasebetaFinite Group Databasebeta| order | 36392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
| dicyclic | Dic9098 |
| unambiguous semidirect product | C4549⋊Q8 |
| Sylow | C4549 ⋊ Q8 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C2 | C2×D4549 |
| commutator, socle, prime radical, cosocle | C2×C4549 | C22 |
| Fitting | C4×C4549 | C2 |
| hypercenter | C4 | D4549 |
| hypocenter | C4549 | Q8 |
| LCS | G ▷ C2×C4549 ▷ C4549 | |
| UCS | C1 ◁ C2 ◁ C4 | |
12 conjugacy classes of subgroups.
| minimal degree | μ(G) = 4557 |
| transitive degree | μt(G) = 36392 |
A minimal faithful permutation representation — 2 generators on 4557 points:
(1,2,3,4)(5,8,7,6)(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);(1,5,3,7)(2,6,4,8)(10,4557)(11,4556)(12,4555)(13,4554)(14,4553)(15,4552)(16,4551)(17,4550)(18,4549)(19,4548)(20,4547)(21,4546)(22,4545)(23,4544)(24,4543)(25,4542)(26,4541)(27,4540)(28,4539)(29,4538)(30,4537)(31,4536)(32,4535)(33,4534)(34,4533)(35,4532)(36,4531)(37,4530)(38,4529)(39,4528)(40,4527)(41,4526)(42,4525)(43,4524)(44,4523)(45,4522)(46,4521)(47,4520)(48,4519)(49,4518)(50,4517)(51,4516)(52,4515)(53,4514)(54,4513)(55,4512)(56,4511)(57,4510)(58,4509)(59,4508)(60,4507)(61,4506)(62,4505)(63,4504)(64,4503)(65,4502)(66,4501)(67,4500)(68,4499)(69,4498)(70,4497)(71,4496)(72,4495)(73,4494)(74,4493)(75,4492)(76,4491)(77,4490)(78,4489)(79,4488)(80,4487)(81,4486)(82,4485)(83,4484)(84,4483)(85,4482)(86,4481)(87,4480)(88,4479)(89,4478)(90,4477)(91,4476)(92,4475)(93,4474)(94,4473)(95,4472)(96,4471)(97,4470)(98,4469)(99,4468)(100,4467)(101,4466)(102,4465)(103,4464)(104,4463)(105,4462)(106,4461)(107,4460)(108,4459)(109,4458)(110,4457)(111,4456)(112,4455)(113,4454)(114,4453)(115,4452)(116,4451)(117,4450)(118,4449)(119,4448)(120,4447)(121,4446)(122,4445)(123,4444)(124,4443)(125,4442)(126,4441)(127,4440)(128,4439)(129,4438)(130,4437)(131,4436)(132,4435)(133,4434)(134,4433)(135,4432)(136,4431)(137,4430)(138,4429)(139,4428)(140,4427)(141,4426)(142,4425)(143,4424)(144,4423)(145,4422)(146,4421)(147,4420)(148,4419)(149,4418)(150,4417)(151,4416)(152,4415)(153,4414)(154,4413)(155,4412)(156,4411)(157,4410)(158,4409)(159,4408)(160,4407)(161,4406)(162,4405)(163,4404)(164,4403)(165,4402)(166,4401)(167,4400)(168,4399)(169,4398)(170,4397)(171,4396)(172,4395)(173,4394)(174,4393)(175,4392)(176,4391)(177,4390)(178,4389)(179,4388)(180,4387)(181,4386)(182,4385)(183,4384)(184,4383)(185,4382)(186,4381)(187,4380)(188,4379)(189,4378)(190,4377)(191,4376)(192,4375)(193,4374)(194,4373)(195,4372)(196,4371)(197,4370)(198,4369)(199,4368)(200,4367)(201,4366)(202,4365)(203,4364)(204,4363)(205,4362)(206,4361)(207,4360)(208,4359)(209,4358)(210,4357)(211,4356)(212,4355)(213,4354)(214,4353)(215,4352)(216,4351)(217,4350)(218,4349)(219,4348)(220,4347)(221,4346)(222,4345)(223,4344)(224,4343)(225,4342)(226,4341)(227,4340)(228,4339)(229,4338)(230,4337)(231,4336)(232,4335)(233,4334)(234,4333)(235,4332)(236,4331)(237,4330)(238,4329)(239,4328)(240,4327)(241,4326)(242,4325)(243,4324)(244,4323)(245,4322)(246,4321)(247,4320)(248,4319)(249,4318)(250,4317)(251,4316)(252,4315)(253,4314)(254,4313)(255,4312)(256,4311)(257,4310)(258,4309)(259,4308)(260,4307)(261,4306)(262,4305)(263,4304)(264,4303)(265,4302)(266,4301)(267,4300)(268,4299)(269,4298)(270,4297)(271,4296)(272,4295)(273,4294)(274,4293)(275,4292)(276,4291)(277,4290)(278,4289)(279,4288)(280,4287)(281,4286)(282,4285)(283,4284)(284,4283)(285,4282)(286,4281)(287,4280)(288,4279)(289,4278)(290,4277)(291,4276)(292,4275)(293,4274)(294,4273)(295,4272)(296,4271)(297,4270)(298,4269)(299,4268)(300,4267)(301,4266)(302,4265)(303,4264)(304,4263)(305,4262)(306,4261)(307,4260)(308,4259)(309,4258)(310,4257)(311,4256)(312,4255)(313,4254)(314,4253)(315,4252)(316,4251)(317,4250)(318,4249)(319,4248)(320,4247)(321,4246)(322,4245)(323,4244)(324,4243)(325,4242)(326,4241)(327,4240)(328,4239)(329,4238)(330,4237)(331,4236)(332,4235)(333,4234)(334,4233)(335,4232)(336,4231)(337,4230)(338,4229)(339,4228)(340,4227)(341,4226)(342,4225)(343,4224)(344,4223)(345,4222)(346,4221)(347,4220)(348,4219)(349,4218)(350,4217)(351,4216)(352,4215)(353,4214)(354,4213)(355,4212)(356,4211)(357,4210)(358,4209)(359,4208)(360,4207)(361,4206)(362,4205)(363,4204)(364,4203)(365,4202)(366,4201)(367,4200)(368,4199)(369,4198)(370,4197)(371,4196)(372,4195)(373,4194)(374,4193)(375,4192)(376,4191)(377,4190)(378,4189)(379,4188)(380,4187)(381,4186)(382,4185)(383,4184)(384,4183)(385,4182)(386,4181)(387,4180)(388,4179)(389,4178)(390,4177)(391,4176)(392,4175)(393,4174)(394,4173)(395,4172)(396,4171)(397,4170)(398,4169)(399,4168)(400,4167)(401,4166)(402,4165)(403,4164)(404,4163)(405,4162)(406,4161)(407,4160)(408,4159)(409,4158)(410,4157)(411,4156)(412,4155)(413,4154)(414,4153)(415,4152)(416,4151)(417,4150)(418,4149)(419,4148)(420,4147)(421,4146)(422,4145)(423,4144)(424,4143)(425,4142)(426,4141)(427,4140)(428,4139)(429,4138)(430,4137)(431,4136)(432,4135)(433,4134)(434,4133)(435,4132)(436,4131)(437,4130)(438,4129)(439,4128)(440,4127)(441,4126)(442,4125)(443,4124)(444,4123)(445,4122)(446,4121)(447,4120)(448,4119)(449,4118)(450,4117)(451,4116)(452,4115)(453,4114)(454,4113)(455,4112)(456,4111)(457,4110)(458,4109)(459,4108)(460,4107)(461,4106)(462,4105)(463,4104)(464,4103)(465,4102)(466,4101)(467,4100)(468,4099)(469,4098)(470,4097)(471,4096)(472,4095)(473,4094)(474,4093)(475,4092)(476,4091)(477,4090)(478,4089)(479,4088)(480,4087)(481,4086)(482,4085)(483,4084)(484,4083)(485,4082)(486,4081)(487,4080)(488,4079)(489,4078)(490,4077)(491,4076)(492,4075)(493,4074)(494,4073)(495,4072)(496,4071)(497,4070)(498,4069)(499,4068)(500,4067)(501,4066)(502,4065)(503,4064)(504,4063)(505,4062)(506,4061)(507,4060)(508,4059)(509,4058)(510,4057)(511,4056)(512,4055)(513,4054)(514,4053)(515,4052)(516,4051)(517,4050)(518,4049)(519,4048)(520,4047)(521,4046)(522,4045)(523,4044)(524,4043)(525,4042)(526,4041)(527,4040)(528,4039)(529,4038)(530,4037)(531,4036)(532,4035)(533,4034)(534,4033)(535,4032)(536,4031)(537,4030)(538,4029)(539,4028)(540,4027)(541,4026)(542,4025)(543,4024)(544,4023)(545,4022)(546,4021)(547,4020)(548,4019)(549,4018)(550,4017)(551,4016)(552,4015)(553,4014)(554,4013)(555,4012)(556,4011)(557,4010)(558,4009)(559,4008)(560,4007)(561,4006)(562,4005)(563,4004)(564,4003)(565,4002)(566,4001)(567,4000)(568,3999)(569,3998)(570,3997)(571,3996)(572,3995)(573,3994)(574,3993)(575,3992)(576,3991)(577,3990)(578,3989)(579,3988)(580,3987)(581,3986)(582,3985)(583,3984)(584,3983)(585,3982)(586,3981)(587,3980)(588,3979)(589,3978)(590,3977)(591,3976)(592,3975)(593,3974)(594,3973)(595,3972)(596,3971)(597,3970)(598,3969)(599,3968)(600,3967)(601,3966)(602,3965)(603,3964)(604,3963)(605,3962)(606,3961)(607,3960)(608,3959)(609,3958)(610,3957)(611,3956)(612,3955)(613,3954)(614,3953)(615,3952)(616,3951)(617,3950)(618,3949)(619,3948)(620,3947)(621,3946)(622,3945)(623,3944)(624,3943)(625,3942)(626,3941)(627,3940)(628,3939)(629,3938)(630,3937)(631,3936)(632,3935)(633,3934)(634,3933)(635,3932)(636,3931)(637,3930)(638,3929)(639,3928)(640,3927)(641,3926)(642,3925)(643,3924)(644,3923)(645,3922)(646,3921)(647,3920)(648,3919)(649,3918)(650,3917)(651,3916)(652,3915)(653,3914)(654,3913)(655,3912)(656,3911)(657,3910)(658,3909)(659,3908)(660,3907)(661,3906)(662,3905)(663,3904)(664,3903)(665,3902)(666,3901)(667,3900)(668,3899)(669,3898)(670,3897)(671,3896)(672,3895)(673,3894)(674,3893)(675,3892)(676,3891)(677,3890)(678,3889)(679,3888)(680,3887)(681,3886)(682,3885)(683,3884)(684,3883)(685,3882)(686,3881)(687,3880)(688,3879)(689,3878)(690,3877)(691,3876)(692,3875)(693,3874)(694,3873)(695,3872)(696,3871)(697,3870)(698,3869)(699,3868)(700,3867)(701,3866)(702,3865)(703,3864)(704,3863)(705,3862)(706,3861)(707,3860)(708,3859)(709,3858)(710,3857)(711,3856)(712,3855)(713,3854)(714,3853)(715,3852)(716,3851)(717,3850)(718,3849)(719,3848)(720,3847)(721,3846)(722,3845)(723,3844)(724,3843)(725,3842)(726,3841)(727,3840)(728,3839)(729,3838)(730,3837)(731,3836)(732,3835)(733,3834)(734,3833)(735,3832)(736,3831)(737,3830)(738,3829)(739,3828)(740,3827)(741,3826)(742,3825)(743,3824)(744,3823)(745,3822)(746,3821)(747,3820)(748,3819)(749,3818)(750,3817)(751,3816)(752,3815)(753,3814)(754,3813)(755,3812)(756,3811)(757,3810)(758,3809)(759,3808)(760,3807)(761,3806)(762,3805)(763,3804)(764,3803)(765,3802)(766,3801)(767,3800)(768,3799)(769,3798)(770,3797)(771,3796)(772,3795)(773,3794)(774,3793)(775,3792)(776,3791)(777,3790)(778,3789)(779,3788)(780,3787)(781,3786)(782,3785)(783,3784)(784,3783)(785,3782)(786,3781)(787,3780)(788,3779)(789,3778)(790,3777)(791,3776)(792,3775)(793,3774)(794,3773)(795,3772)(796,3771)(797,3770)(798,3769)(799,3768)(800,3767)(801,3766)(802,3765)(803,3764)(804,3763)(805,3762)(806,3761)(807,3760)(808,3759)(809,3758)(810,3757)(811,3756)(812,3755)(813,3754)(814,3753)(815,3752)(816,3751)(817,3750)(818,3749)(819,3748)(820,3747)(821,3746)(822,3745)(823,3744)(824,3743)(825,3742)(826,3741)(827,3740)(828,3739)(829,3738)(830,3737)(831,3736)(832,3735)(833,3734)(834,3733)(835,3732)(836,3731)(837,3730)(838,3729)(839,3728)(840,3727)(841,3726)(842,3725)(843,3724)(844,3723)(845,3722)(846,3721)(847,3720)(848,3719)(849,3718)(850,3717)(851,3716)(852,3715)(853,3714)(854,3713)(855,3712)(856,3711)(857,3710)(858,3709)(859,3708)(860,3707)(861,3706)(862,3705)(863,3704)(864,3703)(865,3702)(866,3701)(867,3700)(868,3699)(869,3698)(870,3697)(871,3696)(872,3695)(873,3694)(874,3693)(875,3692)(876,3691)(877,3690)(878,3689)(879,3688)(880,3687)(881,3686)(882,3685)(883,3684)(884,3683)(885,3682)(886,3681)(887,3680)(888,3679)(889,3678)(890,3677)(891,3676)(892,3675)(893,3674)(894,3673)(895,3672)(896,3671)(897,3670)(898,3669)(899,3668)(900,3667)(901,3666)(902,3665)(903,3664)(904,3663)(905,3662)(906,3661)(907,3660)(908,3659)(909,3658)(910,3657)(911,3656)(912,3655)(913,3654)(914,3653)(915,3652)(916,3651)(917,3650)(918,3649)(919,3648)(920,3647)(921,3646)(922,3645)(923,3644)(924,3643)(925,3642)(926,3641)(927,3640)(928,3639)(929,3638)(930,3637)(931,3636)(932,3635)(933,3634)(934,3633)(935,3632)(936,3631)(937,3630)(938,3629)(939,3628)(940,3627)(941,3626)(942,3625)(943,3624)(944,3623)(945,3622)(946,3621)(947,3620)(948,3619)(949,3618)(950,3617)(951,3616)(952,3615)(953,3614)(954,3613)(955,3612)(956,3611)(957,3610)(958,3609)(959,3608)(960,3607)(961,3606)(962,3605)(963,3604)(964,3603)(965,3602)(966,3601)(967,3600)(968,3599)(969,3598)(970,3597)(971,3596)(972,3595)(973,3594)(974,3593)(975,3592)(976,3591)(977,3590)(978,3589)(979,3588)(980,3587)(981,3586)(982,3585)(983,3584)(984,3583)(985,3582)(986,3581)(987,3580)(988,3579)(989,3578)(990,3577)(991,3576)(992,3575)(993,3574)(994,3573)(995,3572)(996,3571)(997,3570)(998,3569)(999,3568)(1000,3567)(1001,3566)(1002,3565)(1003,3564)(1004,3563)(1005,3562)(1006,3561)(1007,3560)(1008,3559)(1009,3558)(1010,3557)(1011,3556)(1012,3555)(1013,3554)(1014,3553)(1015,3552)(1016,3551)(1017,3550)(1018,3549)(1019,3548)(1020,3547)(1021,3546)(1022,3545)(1023,3544)(1024,3543)(1025,3542)(1026,3541)(1027,3540)(1028,3539)(1029,3538)(1030,3537)(1031,3536)(1032,3535)(1033,3534)(1034,3533)(1035,3532)(1036,3531)(1037,3530)(1038,3529)(1039,3528)(1040,3527)(1041,3526)(1042,3525)(1043,3524)(1044,3523)(1045,3522)(1046,3521)(1047,3520)(1048,3519)(1049,3518)(1050,3517)(1051,3516)(1052,3515)(1053,3514)(1054,3513)(1055,3512)(1056,3511)(1057,3510)(1058,3509)(1059,3508)(1060,3507)(1061,3506)(1062,3505)(1063,3504)(1064,3503)(1065,3502)(1066,3501)(1067,3500)(1068,3499)(1069,3498)(1070,3497)(1071,3496)(1072,3495)(1073,3494)(1074,3493)(1075,3492)(1076,3491)(1077,3490)(1078,3489)(1079,3488)(1080,3487)(1081,3486)(1082,3485)(1083,3484)(1084,3483)(1085,3482)(1086,3481)(1087,3480)(1088,3479)(1089,3478)(1090,3477)(1091,3476)(1092,3475)(1093,3474)(1094,3473)(1095,3472)(1096,3471)(1097,3470)(1098,3469)(1099,3468)(1100,3467)(1101,3466)(1102,3465)(1103,3464)(1104,3463)(1105,3462)(1106,3461)(1107,3460)(1108,3459)(1109,3458)(1110,3457)(1111,3456)(1112,3455)(1113,3454)(1114,3453)(1115,3452)(1116,3451)(1117,3450)(1118,3449)(1119,3448)(1120,3447)(1121,3446)(1122,3445)(1123,3444)(1124,3443)(1125,3442)(1126,3441)(1127,3440)(1128,3439)(1129,3438)(1130,3437)(1131,3436)(1132,3435)(1133,3434)(1134,3433)(1135,3432)(1136,3431)(1137,3430)(1138,3429)(1139,3428)(1140,3427)(1141,3426)(1142,3425)(1143,3424)(1144,3423)(1145,3422)(1146,3421)(1147,3420)(1148,3419)(1149,3418)(1150,3417)(1151,3416)(1152,3415)(1153,3414)(1154,3413)(1155,3412)(1156,3411)(1157,3410)(1158,3409)(1159,3408)(1160,3407)(1161,3406)(1162,3405)(1163,3404)(1164,3403)(1165,3402)(1166,3401)(1167,3400)(1168,3399)(1169,3398)(1170,3397)(1171,3396)(1172,3395)(1173,3394)(1174,3393)(1175,3392)(1176,3391)(1177,3390)(1178,3389)(1179,3388)(1180,3387)(1181,3386)(1182,3385)(1183,3384)(1184,3383)(1185,3382)(1186,3381)(1187,3380)(1188,3379)(1189,3378)(1190,3377)(1191,3376)(1192,3375)(1193,3374)(1194,3373)(1195,3372)(1196,3371)(1197,3370)(1198,3369)(1199,3368)(1200,3367)(1201,3366)(1202,3365)(1203,3364)(1204,3363)(1205,3362)(1206,3361)(1207,3360)(1208,3359)(1209,3358)(1210,3357)(1211,3356)(1212,3355)(1213,3354)(1214,3353)(1215,3352)(1216,3351)(1217,3350)(1218,3349)(1219,3348)(1220,3347)(1221,3346)(1222,3345)(1223,3344)(1224,3343)(1225,3342)(1226,3341)(1227,3340)(1228,3339)(1229,3338)(1230,3337)(1231,3336)(1232,3335)(1233,3334)(1234,3333)(1235,3332)(1236,3331)(1237,3330)(1238,3329)(1239,3328)(1240,3327)(1241,3326)(1242,3325)(1243,3324)(1244,3323)(1245,3322)(1246,3321)(1247,3320)(1248,3319)(1249,3318)(1250,3317)(1251,3316)(1252,3315)(1253,3314)(1254,3313)(1255,3312)(1256,3311)(1257,3310)(1258,3309)(1259,3308)(1260,3307)(1261,3306)(1262,3305)(1263,3304)(1264,3303)(1265,3302)(1266,3301)(1267,3300)(1268,3299)(1269,3298)(1270,3297)(1271,3296)(1272,3295)(1273,3294)(1274,3293)(1275,3292)(1276,3291)(1277,3290)(1278,3289)(1279,3288)(1280,3287)(1281,3286)(1282,3285)(1283,3284)(1284,3283)(1285,3282)(1286,3281)(1287,3280)(1288,3279)(1289,3278)(1290,3277)(1291,3276)(1292,3275)(1293,3274)(1294,3273)(1295,3272)(1296,3271)(1297,3270)(1298,3269)(1299,3268)(1300,3267)(1301,3266)(1302,3265)(1303,3264)(1304,3263)(1305,3262)(1306,3261)(1307,3260)(1308,3259)(1309,3258)(1310,3257)(1311,3256)(1312,3255)(1313,3254)(1314,3253)(1315,3252)(1316,3251)(1317,3250)(1318,3249)(1319,3248)(1320,3247)(1321,3246)(1322,3245)(1323,3244)(1324,3243)(1325,3242)(1326,3241)(1327,3240)(1328,3239)(1329,3238)(1330,3237)(1331,3236)(1332,3235)(1333,3234)(1334,3233)(1335,3232)(1336,3231)(1337,3230)(1338,3229)(1339,3228)(1340,3227)(1341,3226)(1342,3225)(1343,3224)(1344,3223)(1345,3222)(1346,3221)(1347,3220)(1348,3219)(1349,3218)(1350,3217)(1351,3216)(1352,3215)(1353,3214)(1354,3213)(1355,3212)(1356,3211)(1357,3210)(1358,3209)(1359,3208)(1360,3207)(1361,3206)(1362,3205)(1363,3204)(1364,3203)(1365,3202)(1366,3201)(1367,3200)(1368,3199)(1369,3198)(1370,3197)(1371,3196)(1372,3195)(1373,3194)(1374,3193)(1375,3192)(1376,3191)(1377,3190)(1378,3189)(1379,3188)(1380,3187)(1381,3186)(1382,3185)(1383,3184)(1384,3183)(1385,3182)(1386,3181)(1387,3180)(1388,3179)(1389,3178)(1390,3177)(1391,3176)(1392,3175)(1393,3174)(1394,3173)(1395,3172)(1396,3171)(1397,3170)(1398,3169)(1399,3168)(1400,3167)(1401,3166)(1402,3165)(1403,3164)(1404,3163)(1405,3162)(1406,3161)(1407,3160)(1408,3159)(1409,3158)(1410,3157)(1411,3156)(1412,3155)(1413,3154)(1414,3153)(1415,3152)(1416,3151)(1417,3150)(1418,3149)(1419,3148)(1420,3147)(1421,3146)(1422,3145)(1423,3144)(1424,3143)(1425,3142)(1426,3141)(1427,3140)(1428,3139)(1429,3138)(1430,3137)(1431,3136)(1432,3135)(1433,3134)(1434,3133)(1435,3132)(1436,3131)(1437,3130)(1438,3129)(1439,3128)(1440,3127)(1441,3126)(1442,3125)(1443,3124)(1444,3123)(1445,3122)(1446,3121)(1447,3120)(1448,3119)(1449,3118)(1450,3117)(1451,3116)(1452,3115)(1453,3114)(1454,3113)(1455,3112)(1456,3111)(1457,3110)(1458,3109)(1459,3108)(1460,3107)(1461,3106)(1462,3105)(1463,3104)(1464,3103)(1465,3102)(1466,3101)(1467,3100)(1468,3099)(1469,3098)(1470,3097)(1471,3096)(1472,3095)(1473,3094)(1474,3093)(1475,3092)(1476,3091)(1477,3090)(1478,3089)(1479,3088)(1480,3087)(1481,3086)(1482,3085)(1483,3084)(1484,3083)(1485,3082)(1486,3081)(1487,3080)(1488,3079)(1489,3078)(1490,3077)(1491,3076)(1492,3075)(1493,3074)(1494,3073)(1495,3072)(1496,3071)(1497,3070)(1498,3069)(1499,3068)(1500,3067)(1501,3066)(1502,3065)(1503,3064)(1504,3063)(1505,3062)(1506,3061)(1507,3060)(1508,3059)(1509,3058)(1510,3057)(1511,3056)(1512,3055)(1513,3054)(1514,3053)(1515,3052)(1516,3051)(1517,3050)(1518,3049)(1519,3048)(1520,3047)(1521,3046)(1522,3045)(1523,3044)(1524,3043)(1525,3042)(1526,3041)(1527,3040)(1528,3039)(1529,3038)(1530,3037)(1531,3036)(1532,3035)(1533,3034)(1534,3033)(1535,3032)(1536,3031)(1537,3030)(1538,3029)(1539,3028)(1540,3027)(1541,3026)(1542,3025)(1543,3024)(1544,3023)(1545,3022)(1546,3021)(1547,3020)(1548,3019)(1549,3018)(1550,3017)(1551,3016)(1552,3015)(1553,3014)(1554,3013)(1555,3012)(1556,3011)(1557,3010)(1558,3009)(1559,3008)(1560,3007)(1561,3006)(1562,3005)(1563,3004)(1564,3003)(1565,3002)(1566,3001)(1567,3000)(1568,2999)(1569,2998)(1570,2997)(1571,2996)(1572,2995)(1573,2994)(1574,2993)(1575,2992)(1576,2991)(1577,2990)(1578,2989)(1579,2988)(1580,2987)(1581,2986)(1582,2985)(1583,2984)(1584,2983)(1585,2982)(1586,2981)(1587,2980)(1588,2979)(1589,2978)(1590,2977)(1591,2976)(1592,2975)(1593,2974)(1594,2973)(1595,2972)(1596,2971)(1597,2970)(1598,2969)(1599,2968)(1600,2967)(1601,2966)(1602,2965)(1603,2964)(1604,2963)(1605,2962)(1606,2961)(1607,2960)(1608,2959)(1609,2958)(1610,2957)(1611,2956)(1612,2955)(1613,2954)(1614,2953)(1615,2952)(1616,2951)(1617,2950)(1618,2949)(1619,2948)(1620,2947)(1621,2946)(1622,2945)(1623,2944)(1624,2943)(1625,2942)(1626,2941)(1627,2940)(1628,2939)(1629,2938)(1630,2937)(1631,2936)(1632,2935)(1633,2934)(1634,2933)(1635,2932)(1636,2931)(1637,2930)(1638,2929)(1639,2928)(1640,2927)(1641,2926)(1642,2925)(1643,2924)(1644,2923)(1645,2922)(1646,2921)(1647,2920)(1648,2919)(1649,2918)(1650,2917)(1651,2916)(1652,2915)(1653,2914)(1654,2913)(1655,2912)(1656,2911)(1657,2910)(1658,2909)(1659,2908)(1660,2907)(1661,2906)(1662,2905)(1663,2904)(1664,2903)(1665,2902)(1666,2901)(1667,2900)(1668,2899)(1669,2898)(1670,2897)(1671,2896)(1672,2895)(1673,2894)(1674,2893)(1675,2892)(1676,2891)(1677,2890)(1678,2889)(1679,2888)(1680,2887)(1681,2886)(1682,2885)(1683,2884)(1684,2883)(1685,2882)(1686,2881)(1687,2880)(1688,2879)(1689,2878)(1690,2877)(1691,2876)(1692,2875)(1693,2874)(1694,2873)(1695,2872)(1696,2871)(1697,2870)(1698,2869)(1699,2868)(1700,2867)(1701,2866)(1702,2865)(1703,2864)(1704,2863)(1705,2862)(1706,2861)(1707,2860)(1708,2859)(1709,2858)(1710,2857)(1711,2856)(1712,2855)(1713,2854)(1714,2853)(1715,2852)(1716,2851)(1717,2850)(1718,2849)(1719,2848)(1720,2847)(1721,2846)(1722,2845)(1723,2844)(1724,2843)(1725,2842)(1726,2841)(1727,2840)(1728,2839)(1729,2838)(1730,2837)(1731,2836)(1732,2835)(1733,2834)(1734,2833)(1735,2832)(1736,2831)(1737,2830)(1738,2829)(1739,2828)(1740,2827)(1741,2826)(1742,2825)(1743,2824)(1744,2823)(1745,2822)(1746,2821)(1747,2820)(1748,2819)(1749,2818)(1750,2817)(1751,2816)(1752,2815)(1753,2814)(1754,2813)(1755,2812)(1756,2811)(1757,2810)(1758,2809)(1759,2808)(1760,2807)(1761,2806)(1762,2805)(1763,2804)(1764,2803)(1765,2802)(1766,2801)(1767,2800)(1768,2799)(1769,2798)(1770,2797)(1771,2796)(1772,2795)(1773,2794)(1774,2793)(1775,2792)(1776,2791)(1777,2790)(1778,2789)(1779,2788)(1780,2787)(1781,2786)(1782,2785)(1783,2784)(1784,2783)(1785,2782)(1786,2781)(1787,2780)(1788,2779)(1789,2778)(1790,2777)(1791,2776)(1792,2775)(1793,2774)(1794,2773)(1795,2772)(1796,2771)(1797,2770)(1798,2769)(1799,2768)(1800,2767)(1801,2766)(1802,2765)(1803,2764)(1804,2763)(1805,2762)(1806,2761)(1807,2760)(1808,2759)(1809,2758)(1810,2757)(1811,2756)(1812,2755)(1813,2754)(1814,2753)(1815,2752)(1816,2751)(1817,2750)(1818,2749)(1819,2748)(1820,2747)(1821,2746)(1822,2745)(1823,2744)(1824,2743)(1825,2742)(1826,2741)(1827,2740)(1828,2739)(1829,2738)(1830,2737)(1831,2736)(1832,2735)(1833,2734)(1834,2733)(1835,2732)(1836,2731)(1837,2730)(1838,2729)(1839,2728)(1840,2727)(1841,2726)(1842,2725)(1843,2724)(1844,2723)(1845,2722)(1846,2721)(1847,2720)(1848,2719)(1849,2718)(1850,2717)(1851,2716)(1852,2715)(1853,2714)(1854,2713)(1855,2712)(1856,2711)(1857,2710)(1858,2709)(1859,2708)(1860,2707)(1861,2706)(1862,2705)(1863,2704)(1864,2703)(1865,2702)(1866,2701)(1867,2700)(1868,2699)(1869,2698)(1870,2697)(1871,2696)(1872,2695)(1873,2694)(1874,2693)(1875,2692)(1876,2691)(1877,2690)(1878,2689)(1879,2688)(1880,2687)(1881,2686)(1882,2685)(1883,2684)(1884,2683)(1885,2682)(1886,2681)(1887,2680)(1888,2679)(1889,2678)(1890,2677)(1891,2676)(1892,2675)(1893,2674)(1894,2673)(1895,2672)(1896,2671)(1897,2670)(1898,2669)(1899,2668)(1900,2667)(1901,2666)(1902,2665)(1903,2664)(1904,2663)(1905,2662)(1906,2661)(1907,2660)(1908,2659)(1909,2658)(1910,2657)(1911,2656)(1912,2655)(1913,2654)(1914,2653)(1915,2652)(1916,2651)(1917,2650)(1918,2649)(1919,2648)(1920,2647)(1921,2646)(1922,2645)(1923,2644)(1924,2643)(1925,2642)(1926,2641)(1927,2640)(1928,2639)(1929,2638)(1930,2637)(1931,2636)(1932,2635)(1933,2634)(1934,2633)(1935,2632)(1936,2631)(1937,2630)(1938,2629)(1939,2628)(1940,2627)(1941,2626)(1942,2625)(1943,2624)(1944,2623)(1945,2622)(1946,2621)(1947,2620)(1948,2619)(1949,2618)(1950,2617)(1951,2616)(1952,2615)(1953,2614)(1954,2613)(1955,2612)(1956,2611)(1957,2610)(1958,2609)(1959,2608)(1960,2607)(1961,2606)(1962,2605)(1963,2604)(1964,2603)(1965,2602)(1966,2601)(1967,2600)(1968,2599)(1969,2598)(1970,2597)(1971,2596)(1972,2595)(1973,2594)(1974,2593)(1975,2592)(1976,2591)(1977,2590)(1978,2589)(1979,2588)(1980,2587)(1981,2586)(1982,2585)(1983,2584)(1984,2583)(1985,2582)(1986,2581)(1987,2580)(1988,2579)(1989,2578)(1990,2577)(1991,2576)(1992,2575)(1993,2574)(1994,2573)(1995,2572)(1996,2571)(1997,2570)(1998,2569)(1999,2568)(2000,2567)(2001,2566)(2002,2565)(2003,2564)(2004,2563)(2005,2562)(2006,2561)(2007,2560)(2008,2559)(2009,2558)(2010,2557)(2011,2556)(2012,2555)(2013,2554)(2014,2553)(2015,2552)(2016,2551)(2017,2550)(2018,2549)(2019,2548)(2020,2547)(2021,2546)(2022,2545)(2023,2544)(2024,2543)(2025,2542)(2026,2541)(2027,2540)(2028,2539)(2029,2538)(2030,2537)(2031,2536)(2032,2535)(2033,2534)(2034,2533)(2035,2532)(2036,2531)(2037,2530)(2038,2529)(2039,2528)(2040,2527)(2041,2526)(2042,2525)(2043,2524)(2044,2523)(2045,2522)(2046,2521)(2047,2520)(2048,2519)(2049,2518)(2050,2517)(2051,2516)(2052,2515)(2053,2514)(2054,2513)(2055,2512)(2056,2511)(2057,2510)(2058,2509)(2059,2508)(2060,2507)(2061,2506)(2062,2505)(2063,2504)(2064,2503)(2065,2502)(2066,2501)(2067,2500)(2068,2499)(2069,2498)(2070,2497)(2071,2496)(2072,2495)(2073,2494)(2074,2493)(2075,2492)(2076,2491)(2077,2490)(2078,2489)(2079,2488)(2080,2487)(2081,2486)(2082,2485)(2083,2484)(2084,2483)(2085,2482)(2086,2481)(2087,2480)(2088,2479)(2089,2478)(2090,2477)(2091,2476)(2092,2475)(2093,2474)(2094,2473)(2095,2472)(2096,2471)(2097,2470)(2098,2469)(2099,2468)(2100,2467)(2101,2466)(2102,2465)(2103,2464)(2104,2463)(2105,2462)(2106,2461)(2107,2460)(2108,2459)(2109,2458)(2110,2457)(2111,2456)(2112,2455)(2113,2454)(2114,2453)(2115,2452)(2116,2451)(2117,2450)(2118,2449)(2119,2448)(2120,2447)(2121,2446)(2122,2445)(2123,2444)(2124,2443)(2125,2442)(2126,2441)(2127,2440)(2128,2439)(2129,2438)(2130,2437)(2131,2436)(2132,2435)(2133,2434)(2134,2433)(2135,2432)(2136,2431)(2137,2430)(2138,2429)(2139,2428)(2140,2427)(2141,2426)(2142,2425)(2143,2424)(2144,2423)(2145,2422)(2146,2421)(2147,2420)(2148,2419)(2149,2418)(2150,2417)(2151,2416)(2152,2415)(2153,2414)(2154,2413)(2155,2412)(2156,2411)(2157,2410)(2158,2409)(2159,2408)(2160,2407)(2161,2406)(2162,2405)(2163,2404)(2164,2403)(2165,2402)(2166,2401)(2167,2400)(2168,2399)(2169,2398)(2170,2397)(2171,2396)(2172,2395)(2173,2394)(2174,2393)(2175,2392)(2176,2391)(2177,2390)(2178,2389)(2179,2388)(2180,2387)(2181,2386)(2182,2385)(2183,2384)(2184,2383)(2185,2382)(2186,2381)(2187,2380)(2188,2379)(2189,2378)(2190,2377)(2191,2376)(2192,2375)(2193,2374)(2194,2373)(2195,2372)(2196,2371)(2197,2370)(2198,2369)(2199,2368)(2200,2367)(2201,2366)(2202,2365)(2203,2364)(2204,2363)(2205,2362)(2206,2361)(2207,2360)(2208,2359)(2209,2358)(2210,2357)(2211,2356)(2212,2355)(2213,2354)(2214,2353)(2215,2352)(2216,2351)(2217,2350)(2218,2349)(2219,2348)(2220,2347)(2221,2346)(2222,2345)(2223,2344)(2224,2343)(2225,2342)(2226,2341)(2227,2340)(2228,2339)(2229,2338)(2230,2337)(2231,2336)(2232,2335)(2233,2334)(2234,2333)(2235,2332)(2236,2331)(2237,2330)(2238,2329)(2239,2328)(2240,2327)(2241,2326)(2242,2325)(2243,2324)(2244,2323)(2245,2322)(2246,2321)(2247,2320)(2248,2319)(2249,2318)(2250,2317)(2251,2316)(2252,2315)(2253,2314)(2254,2313)(2255,2312)(2256,2311)(2257,2310)(2258,2309)(2259,2308)(2260,2307)(2261,2306)(2262,2305)(2263,2304)(2264,2303)(2265,2302)(2266,2301)(2267,2300)(2268,2299)(2269,2298)(2270,2297)(2271,2296)(2272,2295)(2273,2294)(2274,2293)(2275,2292)(2276,2291)(2277,2290)(2278,2289)(2279,2288)(2280,2287)(2281,2286)(2282,2285)(2283,2284)Polycyclic presentation:
2^3,4549|a^2=c,b^2=c,b^a=bc,d^b=d^45489101 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36392, 11);