Finite Group DatabasebetaFinite Group Databasebeta| order | 36824 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
| dicyclic | Dic9206 |
| unambiguous semidirect product | C4603⋊Q8 |
| Sylow | C4603 ⋊ Q8 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C2 | C2×D4603 |
| commutator, socle, prime radical, cosocle | C2×C4603 | C22 |
| Fitting | C4×C4603 | C2 |
| hypercenter | C4 | D4603 |
| hypocenter | C4603 | Q8 |
| LCS | G ▷ C2×C4603 ▷ C4603 | |
| UCS | C1 ◁ C2 ◁ C4 | |
12 conjugacy classes of subgroups.
| minimal degree | μ(G) = 4611 |
| transitive degree | μt(G) = 36824 |
A minimal faithful permutation representation — 2 generators on 4611 points:
(1,2,3,4)(5,8,7,6)(9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2070,2071,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,2180,2181,2182,2183,2184,2185,2186,2187,2188,2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,2217,2218,2219,2220,2221,2222,2223,2224,2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2236,2237,2238,2239,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,2253,2254,2255,2256,2257,2258,2259,2260,2261,2262,2263,2264,2265,2266,2267,2268,2269,2270,2271,2272,2273,2274,2275,2276,2277,2278,2279,2280,2281,2282,2283,2284,2285,2286,2287,2288,2289,2290,2291,2292,2293,2294,2295,2296,2297,2298,2299,2300,2301,2302,2303,2304,2305,2306,2307,2308,2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,2320,2321,2322,2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,2333,2334,2335,2336,2337,2338,2339,2340,2341,2342,2343,2344,2345,2346,2347,2348,2349,2350,2351,2352,2353,2354,2355,2356,2357,2358,2359,2360,2361,2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,2372,2373,2374,2375,2376,2377,2378,2379,2380,2381,2382,2383,2384,2385,2386,2387,2388,2389,2390,2391,2392,2393,2394,2395,2396,2397,2398,2399,2400,2401,2402,2403,2404,2405,2406,2407,2408,2409,2410,2411,2412,2413,2414,2415,2416,2417,2418,2419,2420,2421,2422,2423,2424,2425,2426,2427,2428,2429,2430,2431,2432,2433,2434,2435,2436,2437,2438,2439,2440,2441,2442,2443,2444,2445,2446,2447,2448,2449,2450,2451,2452,2453,2454,2455,2456,2457,2458,2459,2460,2461,2462,2463,2464,2465,2466,2467,2468,2469,2470,2471,2472,2473,2474,2475,2476,2477,2478,2479,2480,2481,2482,2483,2484,2485,2486,2487,2488,2489,2490,2491,2492,2493,2494,2495,2496,2497,2498,2499,2500,2501,2502,2503,2504,2505,2506,2507,2508,2509,2510,2511,2512,2513,2514,2515,2516,2517,2518,2519,2520,2521,2522,2523,2524,2525,2526,2527,2528,2529,2530,2531,2532,2533,2534,2535,2536,2537,2538,2539,2540,2541,2542,2543,2544,2545,2546,2547,2548,2549,2550,2551,2552,2553,2554,2555,2556,2557,2558,2559,2560,2561,2562,2563,2564,2565,2566,2567,2568,2569,2570,2571,2572,2573,2574,2575,2576,2577,2578,2579,2580,2581,2582,2583,2584,2585,2586,2587,2588,2589,2590,2591,2592,2593,2594,2595,2596,2597,2598,2599,2600,2601,2602,2603,2604,2605,2606,2607,2608,2609,2610,2611,2612,2613,2614,2615,2616,2617,2618,2619,2620,2621,2622,2623,2624,2625,2626,2627,2628,2629,2630,2631,2632,2633,2634,2635,2636,2637,2638,2639,2640,2641,2642,2643,2644,2645,2646,2647,2648,2649,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,2662,2663,2664,2665,2666,2667,2668,2669,2670,2671,2672,2673,2674,2675,2676,2677,2678,2679,2680,2681,2682,2683,2684,2685,2686,2687,2688,2689,2690,2691,2692,2693,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,2705,2706,2707,2708,2709,2710,2711,2712,2713,2714,2715,2716,2717,2718,2719,2720,2721,2722,2723,2724,2725,2726,2727,2728,2729,2730,2731,2732,2733,2734,2735,2736,2737,2738,2739,2740,2741,2742,2743,2744,2745,2746,2747,2748,2749,2750,2751,2752,2753,2754,2755,2756,2757,2758,2759,2760,2761,2762,2763,2764,2765,2766,2767,2768,2769,2770,2771,2772,2773,2774,2775,2776,2777,2778,2779,2780,2781,2782,2783,2784,2785,2786,2787,2788,2789,2790,2791,2792,2793,2794,2795,2796,2797,2798,2799,2800,2801,2802,2803,2804,2805,2806,2807,2808,2809,2810,2811,2812,2813,2814,2815,2816,2817,2818,2819,2820,2821,2822,2823,2824,2825,2826,2827,2828,2829,2830,2831,2832,2833,2834,2835,2836,2837,2838,2839,2840,2841,2842,2843,2844,2845,2846,2847,2848,2849,2850,2851,2852,2853,2854,2855,2856,2857,2858,2859,2860,2861,2862,2863,2864,2865,2866,2867,2868,2869,2870,2871,2872,2873,2874,2875,2876,2877,2878,2879,2880,2881,2882,2883,2884,2885,2886,2887,2888,2889,2890,2891,2892,2893,2894,2895,2896,2897,2898,2899,2900,2901,2902,2903,2904,2905,2906,2907,2908,2909,2910,2911,2912,2913,2914,2915,2916,2917,2918,2919,2920,2921,2922,2923,2924,2925,2926,2927,2928,2929,2930,2931,2932,2933,2934,2935,2936,2937,2938,2939,2940,2941,2942,2943,2944,2945,2946,2947,2948,2949,2950,2951,2952,2953,2954,2955,2956,2957,2958,2959,2960,2961,2962,2963,2964,2965,2966,2967,2968,2969,2970,2971,2972,2973,2974,2975,2976,2977,2978,2979,2980,2981,2982,2983,2984,2985,2986,2987,2988,2989,2990,2991,2992,2993,2994,2995,2996,2997,2998,2999,3000,3001,3002,3003,3004,3005,3006,3007,3008,3009,3010,3011,3012,3013,3014,3015,3016,3017,3018,3019,3020,3021,3022,3023,3024,3025,3026,3027,3028,3029,3030,3031,3032,3033,3034,3035,3036,3037,3038,3039,3040,3041,3042,3043,3044,3045,3046,3047,3048,3049,3050,3051,3052,3053,3054,3055,3056,3057,3058,3059,3060,3061,3062,3063,3064,3065,3066,3067,3068,3069,3070,3071,3072,3073,3074,3075,3076,3077,3078,3079,3080,3081,3082,3083,3084,3085,3086,3087,3088,3089,3090,3091,3092,3093,3094,3095,3096,3097,3098,3099,3100,3101,3102,3103,3104,3105,3106,3107,3108,3109,3110,3111,3112,3113,3114,3115,3116,3117,3118,3119,3120,3121,3122,3123,3124,3125,3126,3127,3128,3129,3130,3131,3132,3133,3134,3135,3136,3137,3138,3139,3140,3141,3142,3143,3144,3145,3146,3147,3148,3149,3150,3151,3152,3153,3154,3155,3156,3157,3158,3159,3160,3161,3162,3163,3164,3165,3166,3167,3168,3169,3170,3171,3172,3173,3174,3175,3176,3177,3178,3179,3180,3181,3182,3183,3184,3185,3186,3187,3188,3189,3190,3191,3192,3193,3194,3195,3196,3197,3198,3199,3200,3201,3202,3203,3204,3205,3206,3207,3208,3209,3210,3211,3212,3213,3214,3215,3216,3217,3218,3219,3220,3221,3222,3223,3224,3225,3226,3227,3228,3229,3230,3231,3232,3233,3234,3235,3236,3237,3238,3239,3240,3241,3242,3243,3244,3245,3246,3247,3248,3249,3250,3251,3252,3253,3254,3255,3256,3257,3258,3259,3260,3261,3262,3263,3264,3265,3266,3267,3268,3269,3270,3271,3272,3273,3274,3275,3276,3277,3278,3279,3280,3281,3282,3283,3284,3285,3286,3287,3288,3289,3290,3291,3292,3293,3294,3295,3296,3297,3298,3299,3300,3301,3302,3303,3304,3305,3306,3307,3308,3309,3310,3311,3312,3313,3314,3315,3316,3317,3318,3319,3320,3321,3322,3323,3324,3325,3326,3327,3328,3329,3330,3331,3332,3333,3334,3335,3336,3337,3338,3339,3340,3341,3342,3343,3344,3345,3346,3347,3348,3349,3350,3351,3352,3353,3354,3355,3356,3357,3358,3359,3360,3361,3362,3363,3364,3365,3366,3367,3368,3369,3370,3371,3372,3373,3374,3375,3376,3377,3378,3379,3380,3381,3382,3383,3384,3385,3386,3387,3388,3389,3390,3391,3392,3393,3394,3395,3396,3397,3398,3399,3400,3401,3402,3403,3404,3405,3406,3407,3408,3409,3410,3411,3412,3413,3414,3415,3416,3417,3418,3419,3420,3421,3422,3423,3424,3425,3426,3427,3428,3429,3430,3431,3432,3433,3434,3435,3436,3437,3438,3439,3440,3441,3442,3443,3444,3445,3446,3447,3448,3449,3450,3451,3452,3453,3454,3455,3456,3457,3458,3459,3460,3461,3462,3463,3464,3465,3466,3467,3468,3469,3470,3471,3472,3473,3474,3475,3476,3477,3478,3479,3480,3481,3482,3483,3484,3485,3486,3487,3488,3489,3490,3491,3492,3493,3494,3495,3496,3497,3498,3499,3500,3501,3502,3503,3504,3505,3506,3507,3508,3509,3510,3511,3512,3513,3514,3515,3516,3517,3518,3519,3520,3521,3522,3523,3524,3525,3526,3527,3528,3529,3530,3531,3532,3533,3534,3535,3536,3537,3538,3539,3540,3541,3542,3543,3544,3545,3546,3547,3548,3549,3550,3551,3552,3553,3554,3555,3556,3557,3558,3559,3560,3561,3562,3563,3564,3565,3566,3567,3568,3569,3570,3571,3572,3573,3574,3575,3576,3577,3578,3579,3580,3581,3582,3583,3584,3585,3586,3587,3588,3589,3590,3591,3592,3593,3594,3595,3596,3597,3598,3599,3600,3601,3602,3603,3604,3605,3606,3607,3608,3609,3610,3611,3612,3613,3614,3615,3616,3617,3618,3619,3620,3621,3622,3623,3624,3625,3626,3627,3628,3629,3630,3631,3632,3633,3634,3635,3636,3637,3638,3639,3640,3641,3642,3643,3644,3645,3646,3647,3648,3649,3650,3651,3652,3653,3654,3655,3656,3657,3658,3659,3660,3661,3662,3663,3664,3665,3666,3667,3668,3669,3670,3671,3672,3673,3674,3675,3676,3677,3678,3679,3680,3681,3682,3683,3684,3685,3686,3687,3688,3689,3690,3691,3692,3693,3694,3695,3696,3697,3698,3699,3700,3701,3702,3703,3704,3705,3706,3707,3708,3709,3710,3711,3712,3713,3714,3715,3716,3717,3718,3719,3720,3721,3722,3723,3724,3725,3726,3727,3728,3729,3730,3731,3732,3733,3734,3735,3736,3737,3738,3739,3740,3741,3742,3743,3744,3745,3746,3747,3748,3749,3750,3751,3752,3753,3754,3755,3756,3757,3758,3759,3760,3761,3762,3763,3764,3765,3766,3767,3768,3769,3770,3771,3772,3773,3774,3775,3776,3777,3778,3779,3780,3781,3782,3783,3784,3785,3786,3787,3788,3789,3790,3791,3792,3793,3794,3795,3796,3797,3798,3799,3800,3801,3802,3803,3804,3805,3806,3807,3808,3809,3810,3811,3812,3813,3814,3815,3816,3817,3818,3819,3820,3821,3822,3823,3824,3825,3826,3827,3828,3829,3830,3831,3832,3833,3834,3835,3836,3837,3838,3839,3840,3841,3842,3843,3844,3845,3846,3847,3848,3849,3850,3851,3852,3853,3854,3855,3856,3857,3858,3859,3860,3861,3862,3863,3864,3865,3866,3867,3868,3869,3870,3871,3872,3873,3874,3875,3876,3877,3878,3879,3880,3881,3882,3883,3884,3885,3886,3887,3888,3889,3890,3891,3892,3893,3894,3895,3896,3897,3898,3899,3900,3901,3902,3903,3904,3905,3906,3907,3908,3909,3910,3911,3912,3913,3914,3915,3916,3917,3918,3919,3920,3921,3922,3923,3924,3925,3926,3927,3928,3929,3930,3931,3932,3933,3934,3935,3936,3937,3938,3939,3940,3941,3942,3943,3944,3945,3946,3947,3948,3949,3950,3951,3952,3953,3954,3955,3956,3957,3958,3959,3960,3961,3962,3963,3964,3965,3966,3967,3968,3969,3970,3971,3972,3973,3974,3975,3976,3977,3978,3979,3980,3981,3982,3983,3984,3985,3986,3987,3988,3989,3990,3991,3992,3993,3994,3995,3996,3997,3998,3999,4000,4001,4002,4003,4004,4005,4006,4007,4008,4009,4010,4011,4012,4013,4014,4015,4016,4017,4018,4019,4020,4021,4022,4023,4024,4025,4026,4027,4028,4029,4030,4031,4032,4033,4034,4035,4036,4037,4038,4039,4040,4041,4042,4043,4044,4045,4046,4047,4048,4049,4050,4051,4052,4053,4054,4055,4056,4057,4058,4059,4060,4061,4062,4063,4064,4065,4066,4067,4068,4069,4070,4071,4072,4073,4074,4075,4076,4077,4078,4079,4080,4081,4082,4083,4084,4085,4086,4087,4088,4089,4090,4091,4092,4093,4094,4095,4096,4097,4098,4099,4100,4101,4102,4103,4104,4105,4106,4107,4108,4109,4110,4111,4112,4113,4114,4115,4116,4117,4118,4119,4120,4121,4122,4123,4124,4125,4126,4127,4128,4129,4130,4131,4132,4133,4134,4135,4136,4137,4138,4139,4140,4141,4142,4143,4144,4145,4146,4147,4148,4149,4150,4151,4152,4153,4154,4155,4156,4157,4158,4159,4160,4161,4162,4163,4164,4165,4166,4167,4168,4169,4170,4171,4172,4173,4174,4175,4176,4177,4178,4179,4180,4181,4182,4183,4184,4185,4186,4187,4188,4189,4190,4191,4192,4193,4194,4195,4196,4197,4198,4199,4200,4201,4202,4203,4204,4205,4206,4207,4208,4209,4210,4211,4212,4213,4214,4215,4216,4217,4218,4219,4220,4221,4222,4223,4224,4225,4226,4227,4228,4229,4230,4231,4232,4233,4234,4235,4236,4237,4238,4239,4240,4241,4242,4243,4244,4245,4246,4247,4248,4249,4250,4251,4252,4253,4254,4255,4256,4257,4258,4259,4260,4261,4262,4263,4264,4265,4266,4267,4268,4269,4270,4271,4272,4273,4274,4275,4276,4277,4278,4279,4280,4281,4282,4283,4284,4285,4286,4287,4288,4289,4290,4291,4292,4293,4294,4295,4296,4297,4298,4299,4300,4301,4302,4303,4304,4305,4306,4307,4308,4309,4310,4311,4312,4313,4314,4315,4316,4317,4318,4319,4320,4321,4322,4323,4324,4325,4326,4327,4328,4329,4330,4331,4332,4333,4334,4335,4336,4337,4338,4339,4340,4341,4342,4343,4344,4345,4346,4347,4348,4349,4350,4351,4352,4353,4354,4355,4356,4357,4358,4359,4360,4361,4362,4363,4364,4365,4366,4367,4368,4369,4370,4371,4372,4373,4374,4375,4376,4377,4378,4379,4380,4381,4382,4383,4384,4385,4386,4387,4388,4389,4390,4391,4392,4393,4394,4395,4396,4397,4398,4399,4400,4401,4402,4403,4404,4405,4406,4407,4408,4409,4410,4411,4412,4413,4414,4415,4416,4417,4418,4419,4420,4421,4422,4423,4424,4425,4426,4427,4428,4429,4430,4431,4432,4433,4434,4435,4436,4437,4438,4439,4440,4441,4442,4443,4444,4445,4446,4447,4448,4449,4450,4451,4452,4453,4454,4455,4456,4457,4458,4459,4460,4461,4462,4463,4464,4465,4466,4467,4468,4469,4470,4471,4472,4473,4474,4475,4476,4477,4478,4479,4480,4481,4482,4483,4484,4485,4486,4487,4488,4489,4490,4491,4492,4493,4494,4495,4496,4497,4498,4499,4500,4501,4502,4503,4504,4505,4506,4507,4508,4509,4510,4511,4512,4513,4514,4515,4516,4517,4518,4519,4520,4521,4522,4523,4524,4525,4526,4527,4528,4529,4530,4531,4532,4533,4534,4535,4536,4537,4538,4539,4540,4541,4542,4543,4544,4545,4546,4547,4548,4549,4550,4551,4552,4553,4554,4555,4556,4557,4558,4559,4560,4561,4562,4563,4564,4565,4566,4567,4568,4569,4570,4571,4572,4573,4574,4575,4576,4577,4578,4579,4580,4581,4582,4583,4584,4585,4586,4587,4588,4589,4590,4591,4592,4593,4594,4595,4596,4597,4598,4599,4600,4601,4602,4603,4604,4605,4606,4607,4608,4609,4610,4611);(1,5,3,7)(2,6,4,8)(10,4611)(11,4610)(12,4609)(13,4608)(14,4607)(15,4606)(16,4605)(17,4604)(18,4603)(19,4602)(20,4601)(21,4600)(22,4599)(23,4598)(24,4597)(25,4596)(26,4595)(27,4594)(28,4593)(29,4592)(30,4591)(31,4590)(32,4589)(33,4588)(34,4587)(35,4586)(36,4585)(37,4584)(38,4583)(39,4582)(40,4581)(41,4580)(42,4579)(43,4578)(44,4577)(45,4576)(46,4575)(47,4574)(48,4573)(49,4572)(50,4571)(51,4570)(52,4569)(53,4568)(54,4567)(55,4566)(56,4565)(57,4564)(58,4563)(59,4562)(60,4561)(61,4560)(62,4559)(63,4558)(64,4557)(65,4556)(66,4555)(67,4554)(68,4553)(69,4552)(70,4551)(71,4550)(72,4549)(73,4548)(74,4547)(75,4546)(76,4545)(77,4544)(78,4543)(79,4542)(80,4541)(81,4540)(82,4539)(83,4538)(84,4537)(85,4536)(86,4535)(87,4534)(88,4533)(89,4532)(90,4531)(91,4530)(92,4529)(93,4528)(94,4527)(95,4526)(96,4525)(97,4524)(98,4523)(99,4522)(100,4521)(101,4520)(102,4519)(103,4518)(104,4517)(105,4516)(106,4515)(107,4514)(108,4513)(109,4512)(110,4511)(111,4510)(112,4509)(113,4508)(114,4507)(115,4506)(116,4505)(117,4504)(118,4503)(119,4502)(120,4501)(121,4500)(122,4499)(123,4498)(124,4497)(125,4496)(126,4495)(127,4494)(128,4493)(129,4492)(130,4491)(131,4490)(132,4489)(133,4488)(134,4487)(135,4486)(136,4485)(137,4484)(138,4483)(139,4482)(140,4481)(141,4480)(142,4479)(143,4478)(144,4477)(145,4476)(146,4475)(147,4474)(148,4473)(149,4472)(150,4471)(151,4470)(152,4469)(153,4468)(154,4467)(155,4466)(156,4465)(157,4464)(158,4463)(159,4462)(160,4461)(161,4460)(162,4459)(163,4458)(164,4457)(165,4456)(166,4455)(167,4454)(168,4453)(169,4452)(170,4451)(171,4450)(172,4449)(173,4448)(174,4447)(175,4446)(176,4445)(177,4444)(178,4443)(179,4442)(180,4441)(181,4440)(182,4439)(183,4438)(184,4437)(185,4436)(186,4435)(187,4434)(188,4433)(189,4432)(190,4431)(191,4430)(192,4429)(193,4428)(194,4427)(195,4426)(196,4425)(197,4424)(198,4423)(199,4422)(200,4421)(201,4420)(202,4419)(203,4418)(204,4417)(205,4416)(206,4415)(207,4414)(208,4413)(209,4412)(210,4411)(211,4410)(212,4409)(213,4408)(214,4407)(215,4406)(216,4405)(217,4404)(218,4403)(219,4402)(220,4401)(221,4400)(222,4399)(223,4398)(224,4397)(225,4396)(226,4395)(227,4394)(228,4393)(229,4392)(230,4391)(231,4390)(232,4389)(233,4388)(234,4387)(235,4386)(236,4385)(237,4384)(238,4383)(239,4382)(240,4381)(241,4380)(242,4379)(243,4378)(244,4377)(245,4376)(246,4375)(247,4374)(248,4373)(249,4372)(250,4371)(251,4370)(252,4369)(253,4368)(254,4367)(255,4366)(256,4365)(257,4364)(258,4363)(259,4362)(260,4361)(261,4360)(262,4359)(263,4358)(264,4357)(265,4356)(266,4355)(267,4354)(268,4353)(269,4352)(270,4351)(271,4350)(272,4349)(273,4348)(274,4347)(275,4346)(276,4345)(277,4344)(278,4343)(279,4342)(280,4341)(281,4340)(282,4339)(283,4338)(284,4337)(285,4336)(286,4335)(287,4334)(288,4333)(289,4332)(290,4331)(291,4330)(292,4329)(293,4328)(294,4327)(295,4326)(296,4325)(297,4324)(298,4323)(299,4322)(300,4321)(301,4320)(302,4319)(303,4318)(304,4317)(305,4316)(306,4315)(307,4314)(308,4313)(309,4312)(310,4311)(311,4310)(312,4309)(313,4308)(314,4307)(315,4306)(316,4305)(317,4304)(318,4303)(319,4302)(320,4301)(321,4300)(322,4299)(323,4298)(324,4297)(325,4296)(326,4295)(327,4294)(328,4293)(329,4292)(330,4291)(331,4290)(332,4289)(333,4288)(334,4287)(335,4286)(336,4285)(337,4284)(338,4283)(339,4282)(340,4281)(341,4280)(342,4279)(343,4278)(344,4277)(345,4276)(346,4275)(347,4274)(348,4273)(349,4272)(350,4271)(351,4270)(352,4269)(353,4268)(354,4267)(355,4266)(356,4265)(357,4264)(358,4263)(359,4262)(360,4261)(361,4260)(362,4259)(363,4258)(364,4257)(365,4256)(366,4255)(367,4254)(368,4253)(369,4252)(370,4251)(371,4250)(372,4249)(373,4248)(374,4247)(375,4246)(376,4245)(377,4244)(378,4243)(379,4242)(380,4241)(381,4240)(382,4239)(383,4238)(384,4237)(385,4236)(386,4235)(387,4234)(388,4233)(389,4232)(390,4231)(391,4230)(392,4229)(393,4228)(394,4227)(395,4226)(396,4225)(397,4224)(398,4223)(399,4222)(400,4221)(401,4220)(402,4219)(403,4218)(404,4217)(405,4216)(406,4215)(407,4214)(408,4213)(409,4212)(410,4211)(411,4210)(412,4209)(413,4208)(414,4207)(415,4206)(416,4205)(417,4204)(418,4203)(419,4202)(420,4201)(421,4200)(422,4199)(423,4198)(424,4197)(425,4196)(426,4195)(427,4194)(428,4193)(429,4192)(430,4191)(431,4190)(432,4189)(433,4188)(434,4187)(435,4186)(436,4185)(437,4184)(438,4183)(439,4182)(440,4181)(441,4180)(442,4179)(443,4178)(444,4177)(445,4176)(446,4175)(447,4174)(448,4173)(449,4172)(450,4171)(451,4170)(452,4169)(453,4168)(454,4167)(455,4166)(456,4165)(457,4164)(458,4163)(459,4162)(460,4161)(461,4160)(462,4159)(463,4158)(464,4157)(465,4156)(466,4155)(467,4154)(468,4153)(469,4152)(470,4151)(471,4150)(472,4149)(473,4148)(474,4147)(475,4146)(476,4145)(477,4144)(478,4143)(479,4142)(480,4141)(481,4140)(482,4139)(483,4138)(484,4137)(485,4136)(486,4135)(487,4134)(488,4133)(489,4132)(490,4131)(491,4130)(492,4129)(493,4128)(494,4127)(495,4126)(496,4125)(497,4124)(498,4123)(499,4122)(500,4121)(501,4120)(502,4119)(503,4118)(504,4117)(505,4116)(506,4115)(507,4114)(508,4113)(509,4112)(510,4111)(511,4110)(512,4109)(513,4108)(514,4107)(515,4106)(516,4105)(517,4104)(518,4103)(519,4102)(520,4101)(521,4100)(522,4099)(523,4098)(524,4097)(525,4096)(526,4095)(527,4094)(528,4093)(529,4092)(530,4091)(531,4090)(532,4089)(533,4088)(534,4087)(535,4086)(536,4085)(537,4084)(538,4083)(539,4082)(540,4081)(541,4080)(542,4079)(543,4078)(544,4077)(545,4076)(546,4075)(547,4074)(548,4073)(549,4072)(550,4071)(551,4070)(552,4069)(553,4068)(554,4067)(555,4066)(556,4065)(557,4064)(558,4063)(559,4062)(560,4061)(561,4060)(562,4059)(563,4058)(564,4057)(565,4056)(566,4055)(567,4054)(568,4053)(569,4052)(570,4051)(571,4050)(572,4049)(573,4048)(574,4047)(575,4046)(576,4045)(577,4044)(578,4043)(579,4042)(580,4041)(581,4040)(582,4039)(583,4038)(584,4037)(585,4036)(586,4035)(587,4034)(588,4033)(589,4032)(590,4031)(591,4030)(592,4029)(593,4028)(594,4027)(595,4026)(596,4025)(597,4024)(598,4023)(599,4022)(600,4021)(601,4020)(602,4019)(603,4018)(604,4017)(605,4016)(606,4015)(607,4014)(608,4013)(609,4012)(610,4011)(611,4010)(612,4009)(613,4008)(614,4007)(615,4006)(616,4005)(617,4004)(618,4003)(619,4002)(620,4001)(621,4000)(622,3999)(623,3998)(624,3997)(625,3996)(626,3995)(627,3994)(628,3993)(629,3992)(630,3991)(631,3990)(632,3989)(633,3988)(634,3987)(635,3986)(636,3985)(637,3984)(638,3983)(639,3982)(640,3981)(641,3980)(642,3979)(643,3978)(644,3977)(645,3976)(646,3975)(647,3974)(648,3973)(649,3972)(650,3971)(651,3970)(652,3969)(653,3968)(654,3967)(655,3966)(656,3965)(657,3964)(658,3963)(659,3962)(660,3961)(661,3960)(662,3959)(663,3958)(664,3957)(665,3956)(666,3955)(667,3954)(668,3953)(669,3952)(670,3951)(671,3950)(672,3949)(673,3948)(674,3947)(675,3946)(676,3945)(677,3944)(678,3943)(679,3942)(680,3941)(681,3940)(682,3939)(683,3938)(684,3937)(685,3936)(686,3935)(687,3934)(688,3933)(689,3932)(690,3931)(691,3930)(692,3929)(693,3928)(694,3927)(695,3926)(696,3925)(697,3924)(698,3923)(699,3922)(700,3921)(701,3920)(702,3919)(703,3918)(704,3917)(705,3916)(706,3915)(707,3914)(708,3913)(709,3912)(710,3911)(711,3910)(712,3909)(713,3908)(714,3907)(715,3906)(716,3905)(717,3904)(718,3903)(719,3902)(720,3901)(721,3900)(722,3899)(723,3898)(724,3897)(725,3896)(726,3895)(727,3894)(728,3893)(729,3892)(730,3891)(731,3890)(732,3889)(733,3888)(734,3887)(735,3886)(736,3885)(737,3884)(738,3883)(739,3882)(740,3881)(741,3880)(742,3879)(743,3878)(744,3877)(745,3876)(746,3875)(747,3874)(748,3873)(749,3872)(750,3871)(751,3870)(752,3869)(753,3868)(754,3867)(755,3866)(756,3865)(757,3864)(758,3863)(759,3862)(760,3861)(761,3860)(762,3859)(763,3858)(764,3857)(765,3856)(766,3855)(767,3854)(768,3853)(769,3852)(770,3851)(771,3850)(772,3849)(773,3848)(774,3847)(775,3846)(776,3845)(777,3844)(778,3843)(779,3842)(780,3841)(781,3840)(782,3839)(783,3838)(784,3837)(785,3836)(786,3835)(787,3834)(788,3833)(789,3832)(790,3831)(791,3830)(792,3829)(793,3828)(794,3827)(795,3826)(796,3825)(797,3824)(798,3823)(799,3822)(800,3821)(801,3820)(802,3819)(803,3818)(804,3817)(805,3816)(806,3815)(807,3814)(808,3813)(809,3812)(810,3811)(811,3810)(812,3809)(813,3808)(814,3807)(815,3806)(816,3805)(817,3804)(818,3803)(819,3802)(820,3801)(821,3800)(822,3799)(823,3798)(824,3797)(825,3796)(826,3795)(827,3794)(828,3793)(829,3792)(830,3791)(831,3790)(832,3789)(833,3788)(834,3787)(835,3786)(836,3785)(837,3784)(838,3783)(839,3782)(840,3781)(841,3780)(842,3779)(843,3778)(844,3777)(845,3776)(846,3775)(847,3774)(848,3773)(849,3772)(850,3771)(851,3770)(852,3769)(853,3768)(854,3767)(855,3766)(856,3765)(857,3764)(858,3763)(859,3762)(860,3761)(861,3760)(862,3759)(863,3758)(864,3757)(865,3756)(866,3755)(867,3754)(868,3753)(869,3752)(870,3751)(871,3750)(872,3749)(873,3748)(874,3747)(875,3746)(876,3745)(877,3744)(878,3743)(879,3742)(880,3741)(881,3740)(882,3739)(883,3738)(884,3737)(885,3736)(886,3735)(887,3734)(888,3733)(889,3732)(890,3731)(891,3730)(892,3729)(893,3728)(894,3727)(895,3726)(896,3725)(897,3724)(898,3723)(899,3722)(900,3721)(901,3720)(902,3719)(903,3718)(904,3717)(905,3716)(906,3715)(907,3714)(908,3713)(909,3712)(910,3711)(911,3710)(912,3709)(913,3708)(914,3707)(915,3706)(916,3705)(917,3704)(918,3703)(919,3702)(920,3701)(921,3700)(922,3699)(923,3698)(924,3697)(925,3696)(926,3695)(927,3694)(928,3693)(929,3692)(930,3691)(931,3690)(932,3689)(933,3688)(934,3687)(935,3686)(936,3685)(937,3684)(938,3683)(939,3682)(940,3681)(941,3680)(942,3679)(943,3678)(944,3677)(945,3676)(946,3675)(947,3674)(948,3673)(949,3672)(950,3671)(951,3670)(952,3669)(953,3668)(954,3667)(955,3666)(956,3665)(957,3664)(958,3663)(959,3662)(960,3661)(961,3660)(962,3659)(963,3658)(964,3657)(965,3656)(966,3655)(967,3654)(968,3653)(969,3652)(970,3651)(971,3650)(972,3649)(973,3648)(974,3647)(975,3646)(976,3645)(977,3644)(978,3643)(979,3642)(980,3641)(981,3640)(982,3639)(983,3638)(984,3637)(985,3636)(986,3635)(987,3634)(988,3633)(989,3632)(990,3631)(991,3630)(992,3629)(993,3628)(994,3627)(995,3626)(996,3625)(997,3624)(998,3623)(999,3622)(1000,3621)(1001,3620)(1002,3619)(1003,3618)(1004,3617)(1005,3616)(1006,3615)(1007,3614)(1008,3613)(1009,3612)(1010,3611)(1011,3610)(1012,3609)(1013,3608)(1014,3607)(1015,3606)(1016,3605)(1017,3604)(1018,3603)(1019,3602)(1020,3601)(1021,3600)(1022,3599)(1023,3598)(1024,3597)(1025,3596)(1026,3595)(1027,3594)(1028,3593)(1029,3592)(1030,3591)(1031,3590)(1032,3589)(1033,3588)(1034,3587)(1035,3586)(1036,3585)(1037,3584)(1038,3583)(1039,3582)(1040,3581)(1041,3580)(1042,3579)(1043,3578)(1044,3577)(1045,3576)(1046,3575)(1047,3574)(1048,3573)(1049,3572)(1050,3571)(1051,3570)(1052,3569)(1053,3568)(1054,3567)(1055,3566)(1056,3565)(1057,3564)(1058,3563)(1059,3562)(1060,3561)(1061,3560)(1062,3559)(1063,3558)(1064,3557)(1065,3556)(1066,3555)(1067,3554)(1068,3553)(1069,3552)(1070,3551)(1071,3550)(1072,3549)(1073,3548)(1074,3547)(1075,3546)(1076,3545)(1077,3544)(1078,3543)(1079,3542)(1080,3541)(1081,3540)(1082,3539)(1083,3538)(1084,3537)(1085,3536)(1086,3535)(1087,3534)(1088,3533)(1089,3532)(1090,3531)(1091,3530)(1092,3529)(1093,3528)(1094,3527)(1095,3526)(1096,3525)(1097,3524)(1098,3523)(1099,3522)(1100,3521)(1101,3520)(1102,3519)(1103,3518)(1104,3517)(1105,3516)(1106,3515)(1107,3514)(1108,3513)(1109,3512)(1110,3511)(1111,3510)(1112,3509)(1113,3508)(1114,3507)(1115,3506)(1116,3505)(1117,3504)(1118,3503)(1119,3502)(1120,3501)(1121,3500)(1122,3499)(1123,3498)(1124,3497)(1125,3496)(1126,3495)(1127,3494)(1128,3493)(1129,3492)(1130,3491)(1131,3490)(1132,3489)(1133,3488)(1134,3487)(1135,3486)(1136,3485)(1137,3484)(1138,3483)(1139,3482)(1140,3481)(1141,3480)(1142,3479)(1143,3478)(1144,3477)(1145,3476)(1146,3475)(1147,3474)(1148,3473)(1149,3472)(1150,3471)(1151,3470)(1152,3469)(1153,3468)(1154,3467)(1155,3466)(1156,3465)(1157,3464)(1158,3463)(1159,3462)(1160,3461)(1161,3460)(1162,3459)(1163,3458)(1164,3457)(1165,3456)(1166,3455)(1167,3454)(1168,3453)(1169,3452)(1170,3451)(1171,3450)(1172,3449)(1173,3448)(1174,3447)(1175,3446)(1176,3445)(1177,3444)(1178,3443)(1179,3442)(1180,3441)(1181,3440)(1182,3439)(1183,3438)(1184,3437)(1185,3436)(1186,3435)(1187,3434)(1188,3433)(1189,3432)(1190,3431)(1191,3430)(1192,3429)(1193,3428)(1194,3427)(1195,3426)(1196,3425)(1197,3424)(1198,3423)(1199,3422)(1200,3421)(1201,3420)(1202,3419)(1203,3418)(1204,3417)(1205,3416)(1206,3415)(1207,3414)(1208,3413)(1209,3412)(1210,3411)(1211,3410)(1212,3409)(1213,3408)(1214,3407)(1215,3406)(1216,3405)(1217,3404)(1218,3403)(1219,3402)(1220,3401)(1221,3400)(1222,3399)(1223,3398)(1224,3397)(1225,3396)(1226,3395)(1227,3394)(1228,3393)(1229,3392)(1230,3391)(1231,3390)(1232,3389)(1233,3388)(1234,3387)(1235,3386)(1236,3385)(1237,3384)(1238,3383)(1239,3382)(1240,3381)(1241,3380)(1242,3379)(1243,3378)(1244,3377)(1245,3376)(1246,3375)(1247,3374)(1248,3373)(1249,3372)(1250,3371)(1251,3370)(1252,3369)(1253,3368)(1254,3367)(1255,3366)(1256,3365)(1257,3364)(1258,3363)(1259,3362)(1260,3361)(1261,3360)(1262,3359)(1263,3358)(1264,3357)(1265,3356)(1266,3355)(1267,3354)(1268,3353)(1269,3352)(1270,3351)(1271,3350)(1272,3349)(1273,3348)(1274,3347)(1275,3346)(1276,3345)(1277,3344)(1278,3343)(1279,3342)(1280,3341)(1281,3340)(1282,3339)(1283,3338)(1284,3337)(1285,3336)(1286,3335)(1287,3334)(1288,3333)(1289,3332)(1290,3331)(1291,3330)(1292,3329)(1293,3328)(1294,3327)(1295,3326)(1296,3325)(1297,3324)(1298,3323)(1299,3322)(1300,3321)(1301,3320)(1302,3319)(1303,3318)(1304,3317)(1305,3316)(1306,3315)(1307,3314)(1308,3313)(1309,3312)(1310,3311)(1311,3310)(1312,3309)(1313,3308)(1314,3307)(1315,3306)(1316,3305)(1317,3304)(1318,3303)(1319,3302)(1320,3301)(1321,3300)(1322,3299)(1323,3298)(1324,3297)(1325,3296)(1326,3295)(1327,3294)(1328,3293)(1329,3292)(1330,3291)(1331,3290)(1332,3289)(1333,3288)(1334,3287)(1335,3286)(1336,3285)(1337,3284)(1338,3283)(1339,3282)(1340,3281)(1341,3280)(1342,3279)(1343,3278)(1344,3277)(1345,3276)(1346,3275)(1347,3274)(1348,3273)(1349,3272)(1350,3271)(1351,3270)(1352,3269)(1353,3268)(1354,3267)(1355,3266)(1356,3265)(1357,3264)(1358,3263)(1359,3262)(1360,3261)(1361,3260)(1362,3259)(1363,3258)(1364,3257)(1365,3256)(1366,3255)(1367,3254)(1368,3253)(1369,3252)(1370,3251)(1371,3250)(1372,3249)(1373,3248)(1374,3247)(1375,3246)(1376,3245)(1377,3244)(1378,3243)(1379,3242)(1380,3241)(1381,3240)(1382,3239)(1383,3238)(1384,3237)(1385,3236)(1386,3235)(1387,3234)(1388,3233)(1389,3232)(1390,3231)(1391,3230)(1392,3229)(1393,3228)(1394,3227)(1395,3226)(1396,3225)(1397,3224)(1398,3223)(1399,3222)(1400,3221)(1401,3220)(1402,3219)(1403,3218)(1404,3217)(1405,3216)(1406,3215)(1407,3214)(1408,3213)(1409,3212)(1410,3211)(1411,3210)(1412,3209)(1413,3208)(1414,3207)(1415,3206)(1416,3205)(1417,3204)(1418,3203)(1419,3202)(1420,3201)(1421,3200)(1422,3199)(1423,3198)(1424,3197)(1425,3196)(1426,3195)(1427,3194)(1428,3193)(1429,3192)(1430,3191)(1431,3190)(1432,3189)(1433,3188)(1434,3187)(1435,3186)(1436,3185)(1437,3184)(1438,3183)(1439,3182)(1440,3181)(1441,3180)(1442,3179)(1443,3178)(1444,3177)(1445,3176)(1446,3175)(1447,3174)(1448,3173)(1449,3172)(1450,3171)(1451,3170)(1452,3169)(1453,3168)(1454,3167)(1455,3166)(1456,3165)(1457,3164)(1458,3163)(1459,3162)(1460,3161)(1461,3160)(1462,3159)(1463,3158)(1464,3157)(1465,3156)(1466,3155)(1467,3154)(1468,3153)(1469,3152)(1470,3151)(1471,3150)(1472,3149)(1473,3148)(1474,3147)(1475,3146)(1476,3145)(1477,3144)(1478,3143)(1479,3142)(1480,3141)(1481,3140)(1482,3139)(1483,3138)(1484,3137)(1485,3136)(1486,3135)(1487,3134)(1488,3133)(1489,3132)(1490,3131)(1491,3130)(1492,3129)(1493,3128)(1494,3127)(1495,3126)(1496,3125)(1497,3124)(1498,3123)(1499,3122)(1500,3121)(1501,3120)(1502,3119)(1503,3118)(1504,3117)(1505,3116)(1506,3115)(1507,3114)(1508,3113)(1509,3112)(1510,3111)(1511,3110)(1512,3109)(1513,3108)(1514,3107)(1515,3106)(1516,3105)(1517,3104)(1518,3103)(1519,3102)(1520,3101)(1521,3100)(1522,3099)(1523,3098)(1524,3097)(1525,3096)(1526,3095)(1527,3094)(1528,3093)(1529,3092)(1530,3091)(1531,3090)(1532,3089)(1533,3088)(1534,3087)(1535,3086)(1536,3085)(1537,3084)(1538,3083)(1539,3082)(1540,3081)(1541,3080)(1542,3079)(1543,3078)(1544,3077)(1545,3076)(1546,3075)(1547,3074)(1548,3073)(1549,3072)(1550,3071)(1551,3070)(1552,3069)(1553,3068)(1554,3067)(1555,3066)(1556,3065)(1557,3064)(1558,3063)(1559,3062)(1560,3061)(1561,3060)(1562,3059)(1563,3058)(1564,3057)(1565,3056)(1566,3055)(1567,3054)(1568,3053)(1569,3052)(1570,3051)(1571,3050)(1572,3049)(1573,3048)(1574,3047)(1575,3046)(1576,3045)(1577,3044)(1578,3043)(1579,3042)(1580,3041)(1581,3040)(1582,3039)(1583,3038)(1584,3037)(1585,3036)(1586,3035)(1587,3034)(1588,3033)(1589,3032)(1590,3031)(1591,3030)(1592,3029)(1593,3028)(1594,3027)(1595,3026)(1596,3025)(1597,3024)(1598,3023)(1599,3022)(1600,3021)(1601,3020)(1602,3019)(1603,3018)(1604,3017)(1605,3016)(1606,3015)(1607,3014)(1608,3013)(1609,3012)(1610,3011)(1611,3010)(1612,3009)(1613,3008)(1614,3007)(1615,3006)(1616,3005)(1617,3004)(1618,3003)(1619,3002)(1620,3001)(1621,3000)(1622,2999)(1623,2998)(1624,2997)(1625,2996)(1626,2995)(1627,2994)(1628,2993)(1629,2992)(1630,2991)(1631,2990)(1632,2989)(1633,2988)(1634,2987)(1635,2986)(1636,2985)(1637,2984)(1638,2983)(1639,2982)(1640,2981)(1641,2980)(1642,2979)(1643,2978)(1644,2977)(1645,2976)(1646,2975)(1647,2974)(1648,2973)(1649,2972)(1650,2971)(1651,2970)(1652,2969)(1653,2968)(1654,2967)(1655,2966)(1656,2965)(1657,2964)(1658,2963)(1659,2962)(1660,2961)(1661,2960)(1662,2959)(1663,2958)(1664,2957)(1665,2956)(1666,2955)(1667,2954)(1668,2953)(1669,2952)(1670,2951)(1671,2950)(1672,2949)(1673,2948)(1674,2947)(1675,2946)(1676,2945)(1677,2944)(1678,2943)(1679,2942)(1680,2941)(1681,2940)(1682,2939)(1683,2938)(1684,2937)(1685,2936)(1686,2935)(1687,2934)(1688,2933)(1689,2932)(1690,2931)(1691,2930)(1692,2929)(1693,2928)(1694,2927)(1695,2926)(1696,2925)(1697,2924)(1698,2923)(1699,2922)(1700,2921)(1701,2920)(1702,2919)(1703,2918)(1704,2917)(1705,2916)(1706,2915)(1707,2914)(1708,2913)(1709,2912)(1710,2911)(1711,2910)(1712,2909)(1713,2908)(1714,2907)(1715,2906)(1716,2905)(1717,2904)(1718,2903)(1719,2902)(1720,2901)(1721,2900)(1722,2899)(1723,2898)(1724,2897)(1725,2896)(1726,2895)(1727,2894)(1728,2893)(1729,2892)(1730,2891)(1731,2890)(1732,2889)(1733,2888)(1734,2887)(1735,2886)(1736,2885)(1737,2884)(1738,2883)(1739,2882)(1740,2881)(1741,2880)(1742,2879)(1743,2878)(1744,2877)(1745,2876)(1746,2875)(1747,2874)(1748,2873)(1749,2872)(1750,2871)(1751,2870)(1752,2869)(1753,2868)(1754,2867)(1755,2866)(1756,2865)(1757,2864)(1758,2863)(1759,2862)(1760,2861)(1761,2860)(1762,2859)(1763,2858)(1764,2857)(1765,2856)(1766,2855)(1767,2854)(1768,2853)(1769,2852)(1770,2851)(1771,2850)(1772,2849)(1773,2848)(1774,2847)(1775,2846)(1776,2845)(1777,2844)(1778,2843)(1779,2842)(1780,2841)(1781,2840)(1782,2839)(1783,2838)(1784,2837)(1785,2836)(1786,2835)(1787,2834)(1788,2833)(1789,2832)(1790,2831)(1791,2830)(1792,2829)(1793,2828)(1794,2827)(1795,2826)(1796,2825)(1797,2824)(1798,2823)(1799,2822)(1800,2821)(1801,2820)(1802,2819)(1803,2818)(1804,2817)(1805,2816)(1806,2815)(1807,2814)(1808,2813)(1809,2812)(1810,2811)(1811,2810)(1812,2809)(1813,2808)(1814,2807)(1815,2806)(1816,2805)(1817,2804)(1818,2803)(1819,2802)(1820,2801)(1821,2800)(1822,2799)(1823,2798)(1824,2797)(1825,2796)(1826,2795)(1827,2794)(1828,2793)(1829,2792)(1830,2791)(1831,2790)(1832,2789)(1833,2788)(1834,2787)(1835,2786)(1836,2785)(1837,2784)(1838,2783)(1839,2782)(1840,2781)(1841,2780)(1842,2779)(1843,2778)(1844,2777)(1845,2776)(1846,2775)(1847,2774)(1848,2773)(1849,2772)(1850,2771)(1851,2770)(1852,2769)(1853,2768)(1854,2767)(1855,2766)(1856,2765)(1857,2764)(1858,2763)(1859,2762)(1860,2761)(1861,2760)(1862,2759)(1863,2758)(1864,2757)(1865,2756)(1866,2755)(1867,2754)(1868,2753)(1869,2752)(1870,2751)(1871,2750)(1872,2749)(1873,2748)(1874,2747)(1875,2746)(1876,2745)(1877,2744)(1878,2743)(1879,2742)(1880,2741)(1881,2740)(1882,2739)(1883,2738)(1884,2737)(1885,2736)(1886,2735)(1887,2734)(1888,2733)(1889,2732)(1890,2731)(1891,2730)(1892,2729)(1893,2728)(1894,2727)(1895,2726)(1896,2725)(1897,2724)(1898,2723)(1899,2722)(1900,2721)(1901,2720)(1902,2719)(1903,2718)(1904,2717)(1905,2716)(1906,2715)(1907,2714)(1908,2713)(1909,2712)(1910,2711)(1911,2710)(1912,2709)(1913,2708)(1914,2707)(1915,2706)(1916,2705)(1917,2704)(1918,2703)(1919,2702)(1920,2701)(1921,2700)(1922,2699)(1923,2698)(1924,2697)(1925,2696)(1926,2695)(1927,2694)(1928,2693)(1929,2692)(1930,2691)(1931,2690)(1932,2689)(1933,2688)(1934,2687)(1935,2686)(1936,2685)(1937,2684)(1938,2683)(1939,2682)(1940,2681)(1941,2680)(1942,2679)(1943,2678)(1944,2677)(1945,2676)(1946,2675)(1947,2674)(1948,2673)(1949,2672)(1950,2671)(1951,2670)(1952,2669)(1953,2668)(1954,2667)(1955,2666)(1956,2665)(1957,2664)(1958,2663)(1959,2662)(1960,2661)(1961,2660)(1962,2659)(1963,2658)(1964,2657)(1965,2656)(1966,2655)(1967,2654)(1968,2653)(1969,2652)(1970,2651)(1971,2650)(1972,2649)(1973,2648)(1974,2647)(1975,2646)(1976,2645)(1977,2644)(1978,2643)(1979,2642)(1980,2641)(1981,2640)(1982,2639)(1983,2638)(1984,2637)(1985,2636)(1986,2635)(1987,2634)(1988,2633)(1989,2632)(1990,2631)(1991,2630)(1992,2629)(1993,2628)(1994,2627)(1995,2626)(1996,2625)(1997,2624)(1998,2623)(1999,2622)(2000,2621)(2001,2620)(2002,2619)(2003,2618)(2004,2617)(2005,2616)(2006,2615)(2007,2614)(2008,2613)(2009,2612)(2010,2611)(2011,2610)(2012,2609)(2013,2608)(2014,2607)(2015,2606)(2016,2605)(2017,2604)(2018,2603)(2019,2602)(2020,2601)(2021,2600)(2022,2599)(2023,2598)(2024,2597)(2025,2596)(2026,2595)(2027,2594)(2028,2593)(2029,2592)(2030,2591)(2031,2590)(2032,2589)(2033,2588)(2034,2587)(2035,2586)(2036,2585)(2037,2584)(2038,2583)(2039,2582)(2040,2581)(2041,2580)(2042,2579)(2043,2578)(2044,2577)(2045,2576)(2046,2575)(2047,2574)(2048,2573)(2049,2572)(2050,2571)(2051,2570)(2052,2569)(2053,2568)(2054,2567)(2055,2566)(2056,2565)(2057,2564)(2058,2563)(2059,2562)(2060,2561)(2061,2560)(2062,2559)(2063,2558)(2064,2557)(2065,2556)(2066,2555)(2067,2554)(2068,2553)(2069,2552)(2070,2551)(2071,2550)(2072,2549)(2073,2548)(2074,2547)(2075,2546)(2076,2545)(2077,2544)(2078,2543)(2079,2542)(2080,2541)(2081,2540)(2082,2539)(2083,2538)(2084,2537)(2085,2536)(2086,2535)(2087,2534)(2088,2533)(2089,2532)(2090,2531)(2091,2530)(2092,2529)(2093,2528)(2094,2527)(2095,2526)(2096,2525)(2097,2524)(2098,2523)(2099,2522)(2100,2521)(2101,2520)(2102,2519)(2103,2518)(2104,2517)(2105,2516)(2106,2515)(2107,2514)(2108,2513)(2109,2512)(2110,2511)(2111,2510)(2112,2509)(2113,2508)(2114,2507)(2115,2506)(2116,2505)(2117,2504)(2118,2503)(2119,2502)(2120,2501)(2121,2500)(2122,2499)(2123,2498)(2124,2497)(2125,2496)(2126,2495)(2127,2494)(2128,2493)(2129,2492)(2130,2491)(2131,2490)(2132,2489)(2133,2488)(2134,2487)(2135,2486)(2136,2485)(2137,2484)(2138,2483)(2139,2482)(2140,2481)(2141,2480)(2142,2479)(2143,2478)(2144,2477)(2145,2476)(2146,2475)(2147,2474)(2148,2473)(2149,2472)(2150,2471)(2151,2470)(2152,2469)(2153,2468)(2154,2467)(2155,2466)(2156,2465)(2157,2464)(2158,2463)(2159,2462)(2160,2461)(2161,2460)(2162,2459)(2163,2458)(2164,2457)(2165,2456)(2166,2455)(2167,2454)(2168,2453)(2169,2452)(2170,2451)(2171,2450)(2172,2449)(2173,2448)(2174,2447)(2175,2446)(2176,2445)(2177,2444)(2178,2443)(2179,2442)(2180,2441)(2181,2440)(2182,2439)(2183,2438)(2184,2437)(2185,2436)(2186,2435)(2187,2434)(2188,2433)(2189,2432)(2190,2431)(2191,2430)(2192,2429)(2193,2428)(2194,2427)(2195,2426)(2196,2425)(2197,2424)(2198,2423)(2199,2422)(2200,2421)(2201,2420)(2202,2419)(2203,2418)(2204,2417)(2205,2416)(2206,2415)(2207,2414)(2208,2413)(2209,2412)(2210,2411)(2211,2410)(2212,2409)(2213,2408)(2214,2407)(2215,2406)(2216,2405)(2217,2404)(2218,2403)(2219,2402)(2220,2401)(2221,2400)(2222,2399)(2223,2398)(2224,2397)(2225,2396)(2226,2395)(2227,2394)(2228,2393)(2229,2392)(2230,2391)(2231,2390)(2232,2389)(2233,2388)(2234,2387)(2235,2386)(2236,2385)(2237,2384)(2238,2383)(2239,2382)(2240,2381)(2241,2380)(2242,2379)(2243,2378)(2244,2377)(2245,2376)(2246,2375)(2247,2374)(2248,2373)(2249,2372)(2250,2371)(2251,2370)(2252,2369)(2253,2368)(2254,2367)(2255,2366)(2256,2365)(2257,2364)(2258,2363)(2259,2362)(2260,2361)(2261,2360)(2262,2359)(2263,2358)(2264,2357)(2265,2356)(2266,2355)(2267,2354)(2268,2353)(2269,2352)(2270,2351)(2271,2350)(2272,2349)(2273,2348)(2274,2347)(2275,2346)(2276,2345)(2277,2344)(2278,2343)(2279,2342)(2280,2341)(2281,2340)(2282,2339)(2283,2338)(2284,2337)(2285,2336)(2286,2335)(2287,2334)(2288,2333)(2289,2332)(2290,2331)(2291,2330)(2292,2329)(2293,2328)(2294,2327)(2295,2326)(2296,2325)(2297,2324)(2298,2323)(2299,2322)(2300,2321)(2301,2320)(2302,2319)(2303,2318)(2304,2317)(2305,2316)(2306,2315)(2307,2314)(2308,2313)(2309,2312)(2310,2311)Polycyclic presentation:
2^3,4603|a^2=c,b^2=c,b^a=bc,d^b=d^46029209 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36824, 11);