Finite Group DatabasebetaFinite Group Databasebeta| order | 38344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C2 |
| dihedral | D19172 |
| unambiguous semidirect product | C4⋊D4793 |
| Fitting | C4×C4793 ⋊ C2 |
| Sylow | C4793 ⋊ D4 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C2 | C2×D4793 |
| commutator, socle, cosocle | C2×C4793 | C22 |
| Fitting | C4×C4793 | C2 |
| hypercenter | C4 | D4793 |
| hypocenter | C4793 | D4 |
| LCS | G ▷ C2×C4793 ▷ C4793 | |
| UCS | C1 ◁ C2 ◁ C4 | |
16 conjugacy classes of subgroups.
| minimal degree | μ(G) = 4797 |
| transitive degree | μt(G) = 19172 |
A minimal faithful permutation representation — 2 generators on 4797 points:
(1,2,3,4)(5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2070,2071,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,2180,2181,2182,2183,2184,2185,2186,2187,2188,2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,2217,2218,2219,2220,2221,2222,2223,2224,2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2236,2237,2238,2239,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,2253,2254,2255,2256,2257,2258,2259,2260,2261,2262,2263,2264,2265,2266,2267,2268,2269,2270,2271,2272,2273,2274,2275,2276,2277,2278,2279,2280,2281,2282,2283,2284,2285,2286,2287,2288,2289,2290,2291,2292,2293,2294,2295,2296,2297,2298,2299,2300,2301,2302,2303,2304,2305,2306,2307,2308,2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,2320,2321,2322,2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,2333,2334,2335,2336,2337,2338,2339,2340,2341,2342,2343,2344,2345,2346,2347,2348,2349,2350,2351,2352,2353,2354,2355,2356,2357,2358,2359,2360,2361,2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,2372,2373,2374,2375,2376,2377,2378,2379,2380,2381,2382,2383,2384,2385,2386,2387,2388,2389,2390,2391,2392,2393,2394,2395,2396,2397,2398,2399,2400,2401,2402,2403,2404,2405,2406,2407,2408,2409,2410,2411,2412,2413,2414,2415,2416,2417,2418,2419,2420,2421,2422,2423,2424,2425,2426,2427,2428,2429,2430,2431,2432,2433,2434,2435,2436,2437,2438,2439,2440,2441,2442,2443,2444,2445,2446,2447,2448,2449,2450,2451,2452,2453,2454,2455,2456,2457,2458,2459,2460,2461,2462,2463,2464,2465,2466,2467,2468,2469,2470,2471,2472,2473,2474,2475,2476,2477,2478,2479,2480,2481,2482,2483,2484,2485,2486,2487,2488,2489,2490,2491,2492,2493,2494,2495,2496,2497,2498,2499,2500,2501,2502,2503,2504,2505,2506,2507,2508,2509,2510,2511,2512,2513,2514,2515,2516,2517,2518,2519,2520,2521,2522,2523,2524,2525,2526,2527,2528,2529,2530,2531,2532,2533,2534,2535,2536,2537,2538,2539,2540,2541,2542,2543,2544,2545,2546,2547,2548,2549,2550,2551,2552,2553,2554,2555,2556,2557,2558,2559,2560,2561,2562,2563,2564,2565,2566,2567,2568,2569,2570,2571,2572,2573,2574,2575,2576,2577,2578,2579,2580,2581,2582,2583,2584,2585,2586,2587,2588,2589,2590,2591,2592,2593,2594,2595,2596,2597,2598,2599,2600,2601,2602,2603,2604,2605,2606,2607,2608,2609,2610,2611,2612,2613,2614,2615,2616,2617,2618,2619,2620,2621,2622,2623,2624,2625,2626,2627,2628,2629,2630,2631,2632,2633,2634,2635,2636,2637,2638,2639,2640,2641,2642,2643,2644,2645,2646,2647,2648,2649,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,2662,2663,2664,2665,2666,2667,2668,2669,2670,2671,2672,2673,2674,2675,2676,2677,2678,2679,2680,2681,2682,2683,2684,2685,2686,2687,2688,2689,2690,2691,2692,2693,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,2705,2706,2707,2708,2709,2710,2711,2712,2713,2714,2715,2716,2717,2718,2719,2720,2721,2722,2723,2724,2725,2726,2727,2728,2729,2730,2731,2732,2733,2734,2735,2736,2737,2738,2739,2740,2741,2742,2743,2744,2745,2746,2747,2748,2749,2750,2751,2752,2753,2754,2755,2756,2757,2758,2759,2760,2761,2762,2763,2764,2765,2766,2767,2768,2769,2770,2771,2772,2773,2774,2775,2776,2777,2778,2779,2780,2781,2782,2783,2784,2785,2786,2787,2788,2789,2790,2791,2792,2793,2794,2795,2796,2797,2798,2799,2800,2801,2802,2803,2804,2805,2806,2807,2808,2809,2810,2811,2812,2813,2814,2815,2816,2817,2818,2819,2820,2821,2822,2823,2824,2825,2826,2827,2828,2829,2830,2831,2832,2833,2834,2835,2836,2837,2838,2839,2840,2841,2842,2843,2844,2845,2846,2847,2848,2849,2850,2851,2852,2853,2854,2855,2856,2857,2858,2859,2860,2861,2862,2863,2864,2865,2866,2867,2868,2869,2870,2871,2872,2873,2874,2875,2876,2877,2878,2879,2880,2881,2882,2883,2884,2885,2886,2887,2888,2889,2890,2891,2892,2893,2894,2895,2896,2897,2898,2899,2900,2901,2902,2903,2904,2905,2906,2907,2908,2909,2910,2911,2912,2913,2914,2915,2916,2917,2918,2919,2920,2921,2922,2923,2924,2925,2926,2927,2928,2929,2930,2931,2932,2933,2934,2935,2936,2937,2938,2939,2940,2941,2942,2943,2944,2945,2946,2947,2948,2949,2950,2951,2952,2953,2954,2955,2956,2957,2958,2959,2960,2961,2962,2963,2964,2965,2966,2967,2968,2969,2970,2971,2972,2973,2974,2975,2976,2977,2978,2979,2980,2981,2982,2983,2984,2985,2986,2987,2988,2989,2990,2991,2992,2993,2994,2995,2996,2997,2998,2999,3000,3001,3002,3003,3004,3005,3006,3007,3008,3009,3010,3011,3012,3013,3014,3015,3016,3017,3018,3019,3020,3021,3022,3023,3024,3025,3026,3027,3028,3029,3030,3031,3032,3033,3034,3035,3036,3037,3038,3039,3040,3041,3042,3043,3044,3045,3046,3047,3048,3049,3050,3051,3052,3053,3054,3055,3056,3057,3058,3059,3060,3061,3062,3063,3064,3065,3066,3067,3068,3069,3070,3071,3072,3073,3074,3075,3076,3077,3078,3079,3080,3081,3082,3083,3084,3085,3086,3087,3088,3089,3090,3091,3092,3093,3094,3095,3096,3097,3098,3099,3100,3101,3102,3103,3104,3105,3106,3107,3108,3109,3110,3111,3112,3113,3114,3115,3116,3117,3118,3119,3120,3121,3122,3123,3124,3125,3126,3127,3128,3129,3130,3131,3132,3133,3134,3135,3136,3137,3138,3139,3140,3141,3142,3143,3144,3145,3146,3147,3148,3149,3150,3151,3152,3153,3154,3155,3156,3157,3158,3159,3160,3161,3162,3163,3164,3165,3166,3167,3168,3169,3170,3171,3172,3173,3174,3175,3176,3177,3178,3179,3180,3181,3182,3183,3184,3185,3186,3187,3188,3189,3190,3191,3192,3193,3194,3195,3196,3197,3198,3199,3200,3201,3202,3203,3204,3205,3206,3207,3208,3209,3210,3211,3212,3213,3214,3215,3216,3217,3218,3219,3220,3221,3222,3223,3224,3225,3226,3227,3228,3229,3230,3231,3232,3233,3234,3235,3236,3237,3238,3239,3240,3241,3242,3243,3244,3245,3246,3247,3248,3249,3250,3251,3252,3253,3254,3255,3256,3257,3258,3259,3260,3261,3262,3263,3264,3265,3266,3267,3268,3269,3270,3271,3272,3273,3274,3275,3276,3277,3278,3279,3280,3281,3282,3283,3284,3285,3286,3287,3288,3289,3290,3291,3292,3293,3294,3295,3296,3297,3298,3299,3300,3301,3302,3303,3304,3305,3306,3307,3308,3309,3310,3311,3312,3313,3314,3315,3316,3317,3318,3319,3320,3321,3322,3323,3324,3325,3326,3327,3328,3329,3330,3331,3332,3333,3334,3335,3336,3337,3338,3339,3340,3341,3342,3343,3344,3345,3346,3347,3348,3349,3350,3351,3352,3353,3354,3355,3356,3357,3358,3359,3360,3361,3362,3363,3364,3365,3366,3367,3368,3369,3370,3371,3372,3373,3374,3375,3376,3377,3378,3379,3380,3381,3382,3383,3384,3385,3386,3387,3388,3389,3390,3391,3392,3393,3394,3395,3396,3397,3398,3399,3400,3401,3402,3403,3404,3405,3406,3407,3408,3409,3410,3411,3412,3413,3414,3415,3416,3417,3418,3419,3420,3421,3422,3423,3424,3425,3426,3427,3428,3429,3430,3431,3432,3433,3434,3435,3436,3437,3438,3439,3440,3441,3442,3443,3444,3445,3446,3447,3448,3449,3450,3451,3452,3453,3454,3455,3456,3457,3458,3459,3460,3461,3462,3463,3464,3465,3466,3467,3468,3469,3470,3471,3472,3473,3474,3475,3476,3477,3478,3479,3480,3481,3482,3483,3484,3485,3486,3487,3488,3489,3490,3491,3492,3493,3494,3495,3496,3497,3498,3499,3500,3501,3502,3503,3504,3505,3506,3507,3508,3509,3510,3511,3512,3513,3514,3515,3516,3517,3518,3519,3520,3521,3522,3523,3524,3525,3526,3527,3528,3529,3530,3531,3532,3533,3534,3535,3536,3537,3538,3539,3540,3541,3542,3543,3544,3545,3546,3547,3548,3549,3550,3551,3552,3553,3554,3555,3556,3557,3558,3559,3560,3561,3562,3563,3564,3565,3566,3567,3568,3569,3570,3571,3572,3573,3574,3575,3576,3577,3578,3579,3580,3581,3582,3583,3584,3585,3586,3587,3588,3589,3590,3591,3592,3593,3594,3595,3596,3597,3598,3599,3600,3601,3602,3603,3604,3605,3606,3607,3608,3609,3610,3611,3612,3613,3614,3615,3616,3617,3618,3619,3620,3621,3622,3623,3624,3625,3626,3627,3628,3629,3630,3631,3632,3633,3634,3635,3636,3637,3638,3639,3640,3641,3642,3643,3644,3645,3646,3647,3648,3649,3650,3651,3652,3653,3654,3655,3656,3657,3658,3659,3660,3661,3662,3663,3664,3665,3666,3667,3668,3669,3670,3671,3672,3673,3674,3675,3676,3677,3678,3679,3680,3681,3682,3683,3684,3685,3686,3687,3688,3689,3690,3691,3692,3693,3694,3695,3696,3697,3698,3699,3700,3701,3702,3703,3704,3705,3706,3707,3708,3709,3710,3711,3712,3713,3714,3715,3716,3717,3718,3719,3720,3721,3722,3723,3724,3725,3726,3727,3728,3729,3730,3731,3732,3733,3734,3735,3736,3737,3738,3739,3740,3741,3742,3743,3744,3745,3746,3747,3748,3749,3750,3751,3752,3753,3754,3755,3756,3757,3758,3759,3760,3761,3762,3763,3764,3765,3766,3767,3768,3769,3770,3771,3772,3773,3774,3775,3776,3777,3778,3779,3780,3781,3782,3783,3784,3785,3786,3787,3788,3789,3790,3791,3792,3793,3794,3795,3796,3797,3798,3799,3800,3801,3802,3803,3804,3805,3806,3807,3808,3809,3810,3811,3812,3813,3814,3815,3816,3817,3818,3819,3820,3821,3822,3823,3824,3825,3826,3827,3828,3829,3830,3831,3832,3833,3834,3835,3836,3837,3838,3839,3840,3841,3842,3843,3844,3845,3846,3847,3848,3849,3850,3851,3852,3853,3854,3855,3856,3857,3858,3859,3860,3861,3862,3863,3864,3865,3866,3867,3868,3869,3870,3871,3872,3873,3874,3875,3876,3877,3878,3879,3880,3881,3882,3883,3884,3885,3886,3887,3888,3889,3890,3891,3892,3893,3894,3895,3896,3897,3898,3899,3900,3901,3902,3903,3904,3905,3906,3907,3908,3909,3910,3911,3912,3913,3914,3915,3916,3917,3918,3919,3920,3921,3922,3923,3924,3925,3926,3927,3928,3929,3930,3931,3932,3933,3934,3935,3936,3937,3938,3939,3940,3941,3942,3943,3944,3945,3946,3947,3948,3949,3950,3951,3952,3953,3954,3955,3956,3957,3958,3959,3960,3961,3962,3963,3964,3965,3966,3967,3968,3969,3970,3971,3972,3973,3974,3975,3976,3977,3978,3979,3980,3981,3982,3983,3984,3985,3986,3987,3988,3989,3990,3991,3992,3993,3994,3995,3996,3997,3998,3999,4000,4001,4002,4003,4004,4005,4006,4007,4008,4009,4010,4011,4012,4013,4014,4015,4016,4017,4018,4019,4020,4021,4022,4023,4024,4025,4026,4027,4028,4029,4030,4031,4032,4033,4034,4035,4036,4037,4038,4039,4040,4041,4042,4043,4044,4045,4046,4047,4048,4049,4050,4051,4052,4053,4054,4055,4056,4057,4058,4059,4060,4061,4062,4063,4064,4065,4066,4067,4068,4069,4070,4071,4072,4073,4074,4075,4076,4077,4078,4079,4080,4081,4082,4083,4084,4085,4086,4087,4088,4089,4090,4091,4092,4093,4094,4095,4096,4097,4098,4099,4100,4101,4102,4103,4104,4105,4106,4107,4108,4109,4110,4111,4112,4113,4114,4115,4116,4117,4118,4119,4120,4121,4122,4123,4124,4125,4126,4127,4128,4129,4130,4131,4132,4133,4134,4135,4136,4137,4138,4139,4140,4141,4142,4143,4144,4145,4146,4147,4148,4149,4150,4151,4152,4153,4154,4155,4156,4157,4158,4159,4160,4161,4162,4163,4164,4165,4166,4167,4168,4169,4170,4171,4172,4173,4174,4175,4176,4177,4178,4179,4180,4181,4182,4183,4184,4185,4186,4187,4188,4189,4190,4191,4192,4193,4194,4195,4196,4197,4198,4199,4200,4201,4202,4203,4204,4205,4206,4207,4208,4209,4210,4211,4212,4213,4214,4215,4216,4217,4218,4219,4220,4221,4222,4223,4224,4225,4226,4227,4228,4229,4230,4231,4232,4233,4234,4235,4236,4237,4238,4239,4240,4241,4242,4243,4244,4245,4246,4247,4248,4249,4250,4251,4252,4253,4254,4255,4256,4257,4258,4259,4260,4261,4262,4263,4264,4265,4266,4267,4268,4269,4270,4271,4272,4273,4274,4275,4276,4277,4278,4279,4280,4281,4282,4283,4284,4285,4286,4287,4288,4289,4290,4291,4292,4293,4294,4295,4296,4297,4298,4299,4300,4301,4302,4303,4304,4305,4306,4307,4308,4309,4310,4311,4312,4313,4314,4315,4316,4317,4318,4319,4320,4321,4322,4323,4324,4325,4326,4327,4328,4329,4330,4331,4332,4333,4334,4335,4336,4337,4338,4339,4340,4341,4342,4343,4344,4345,4346,4347,4348,4349,4350,4351,4352,4353,4354,4355,4356,4357,4358,4359,4360,4361,4362,4363,4364,4365,4366,4367,4368,4369,4370,4371,4372,4373,4374,4375,4376,4377,4378,4379,4380,4381,4382,4383,4384,4385,4386,4387,4388,4389,4390,4391,4392,4393,4394,4395,4396,4397,4398,4399,4400,4401,4402,4403,4404,4405,4406,4407,4408,4409,4410,4411,4412,4413,4414,4415,4416,4417,4418,4419,4420,4421,4422,4423,4424,4425,4426,4427,4428,4429,4430,4431,4432,4433,4434,4435,4436,4437,4438,4439,4440,4441,4442,4443,4444,4445,4446,4447,4448,4449,4450,4451,4452,4453,4454,4455,4456,4457,4458,4459,4460,4461,4462,4463,4464,4465,4466,4467,4468,4469,4470,4471,4472,4473,4474,4475,4476,4477,4478,4479,4480,4481,4482,4483,4484,4485,4486,4487,4488,4489,4490,4491,4492,4493,4494,4495,4496,4497,4498,4499,4500,4501,4502,4503,4504,4505,4506,4507,4508,4509,4510,4511,4512,4513,4514,4515,4516,4517,4518,4519,4520,4521,4522,4523,4524,4525,4526,4527,4528,4529,4530,4531,4532,4533,4534,4535,4536,4537,4538,4539,4540,4541,4542,4543,4544,4545,4546,4547,4548,4549,4550,4551,4552,4553,4554,4555,4556,4557,4558,4559,4560,4561,4562,4563,4564,4565,4566,4567,4568,4569,4570,4571,4572,4573,4574,4575,4576,4577,4578,4579,4580,4581,4582,4583,4584,4585,4586,4587,4588,4589,4590,4591,4592,4593,4594,4595,4596,4597,4598,4599,4600,4601,4602,4603,4604,4605,4606,4607,4608,4609,4610,4611,4612,4613,4614,4615,4616,4617,4618,4619,4620,4621,4622,4623,4624,4625,4626,4627,4628,4629,4630,4631,4632,4633,4634,4635,4636,4637,4638,4639,4640,4641,4642,4643,4644,4645,4646,4647,4648,4649,4650,4651,4652,4653,4654,4655,4656,4657,4658,4659,4660,4661,4662,4663,4664,4665,4666,4667,4668,4669,4670,4671,4672,4673,4674,4675,4676,4677,4678,4679,4680,4681,4682,4683,4684,4685,4686,4687,4688,4689,4690,4691,4692,4693,4694,4695,4696,4697,4698,4699,4700,4701,4702,4703,4704,4705,4706,4707,4708,4709,4710,4711,4712,4713,4714,4715,4716,4717,4718,4719,4720,4721,4722,4723,4724,4725,4726,4727,4728,4729,4730,4731,4732,4733,4734,4735,4736,4737,4738,4739,4740,4741,4742,4743,4744,4745,4746,4747,4748,4749,4750,4751,4752,4753,4754,4755,4756,4757,4758,4759,4760,4761,4762,4763,4764,4765,4766,4767,4768,4769,4770,4771,4772,4773,4774,4775,4776,4777,4778,4779,4780,4781,4782,4783,4784,4785,4786,4787,4788,4789,4790,4791,4792,4793,4794,4795,4796,4797);(2,4)(6,4797)(7,4796)(8,4795)(9,4794)(10,4793)(11,4792)(12,4791)(13,4790)(14,4789)(15,4788)(16,4787)(17,4786)(18,4785)(19,4784)(20,4783)(21,4782)(22,4781)(23,4780)(24,4779)(25,4778)(26,4777)(27,4776)(28,4775)(29,4774)(30,4773)(31,4772)(32,4771)(33,4770)(34,4769)(35,4768)(36,4767)(37,4766)(38,4765)(39,4764)(40,4763)(41,4762)(42,4761)(43,4760)(44,4759)(45,4758)(46,4757)(47,4756)(48,4755)(49,4754)(50,4753)(51,4752)(52,4751)(53,4750)(54,4749)(55,4748)(56,4747)(57,4746)(58,4745)(59,4744)(60,4743)(61,4742)(62,4741)(63,4740)(64,4739)(65,4738)(66,4737)(67,4736)(68,4735)(69,4734)(70,4733)(71,4732)(72,4731)(73,4730)(74,4729)(75,4728)(76,4727)(77,4726)(78,4725)(79,4724)(80,4723)(81,4722)(82,4721)(83,4720)(84,4719)(85,4718)(86,4717)(87,4716)(88,4715)(89,4714)(90,4713)(91,4712)(92,4711)(93,4710)(94,4709)(95,4708)(96,4707)(97,4706)(98,4705)(99,4704)(100,4703)(101,4702)(102,4701)(103,4700)(104,4699)(105,4698)(106,4697)(107,4696)(108,4695)(109,4694)(110,4693)(111,4692)(112,4691)(113,4690)(114,4689)(115,4688)(116,4687)(117,4686)(118,4685)(119,4684)(120,4683)(121,4682)(122,4681)(123,4680)(124,4679)(125,4678)(126,4677)(127,4676)(128,4675)(129,4674)(130,4673)(131,4672)(132,4671)(133,4670)(134,4669)(135,4668)(136,4667)(137,4666)(138,4665)(139,4664)(140,4663)(141,4662)(142,4661)(143,4660)(144,4659)(145,4658)(146,4657)(147,4656)(148,4655)(149,4654)(150,4653)(151,4652)(152,4651)(153,4650)(154,4649)(155,4648)(156,4647)(157,4646)(158,4645)(159,4644)(160,4643)(161,4642)(162,4641)(163,4640)(164,4639)(165,4638)(166,4637)(167,4636)(168,4635)(169,4634)(170,4633)(171,4632)(172,4631)(173,4630)(174,4629)(175,4628)(176,4627)(177,4626)(178,4625)(179,4624)(180,4623)(181,4622)(182,4621)(183,4620)(184,4619)(185,4618)(186,4617)(187,4616)(188,4615)(189,4614)(190,4613)(191,4612)(192,4611)(193,4610)(194,4609)(195,4608)(196,4607)(197,4606)(198,4605)(199,4604)(200,4603)(201,4602)(202,4601)(203,4600)(204,4599)(205,4598)(206,4597)(207,4596)(208,4595)(209,4594)(210,4593)(211,4592)(212,4591)(213,4590)(214,4589)(215,4588)(216,4587)(217,4586)(218,4585)(219,4584)(220,4583)(221,4582)(222,4581)(223,4580)(224,4579)(225,4578)(226,4577)(227,4576)(228,4575)(229,4574)(230,4573)(231,4572)(232,4571)(233,4570)(234,4569)(235,4568)(236,4567)(237,4566)(238,4565)(239,4564)(240,4563)(241,4562)(242,4561)(243,4560)(244,4559)(245,4558)(246,4557)(247,4556)(248,4555)(249,4554)(250,4553)(251,4552)(252,4551)(253,4550)(254,4549)(255,4548)(256,4547)(257,4546)(258,4545)(259,4544)(260,4543)(261,4542)(262,4541)(263,4540)(264,4539)(265,4538)(266,4537)(267,4536)(268,4535)(269,4534)(270,4533)(271,4532)(272,4531)(273,4530)(274,4529)(275,4528)(276,4527)(277,4526)(278,4525)(279,4524)(280,4523)(281,4522)(282,4521)(283,4520)(284,4519)(285,4518)(286,4517)(287,4516)(288,4515)(289,4514)(290,4513)(291,4512)(292,4511)(293,4510)(294,4509)(295,4508)(296,4507)(297,4506)(298,4505)(299,4504)(300,4503)(301,4502)(302,4501)(303,4500)(304,4499)(305,4498)(306,4497)(307,4496)(308,4495)(309,4494)(310,4493)(311,4492)(312,4491)(313,4490)(314,4489)(315,4488)(316,4487)(317,4486)(318,4485)(319,4484)(320,4483)(321,4482)(322,4481)(323,4480)(324,4479)(325,4478)(326,4477)(327,4476)(328,4475)(329,4474)(330,4473)(331,4472)(332,4471)(333,4470)(334,4469)(335,4468)(336,4467)(337,4466)(338,4465)(339,4464)(340,4463)(341,4462)(342,4461)(343,4460)(344,4459)(345,4458)(346,4457)(347,4456)(348,4455)(349,4454)(350,4453)(351,4452)(352,4451)(353,4450)(354,4449)(355,4448)(356,4447)(357,4446)(358,4445)(359,4444)(360,4443)(361,4442)(362,4441)(363,4440)(364,4439)(365,4438)(366,4437)(367,4436)(368,4435)(369,4434)(370,4433)(371,4432)(372,4431)(373,4430)(374,4429)(375,4428)(376,4427)(377,4426)(378,4425)(379,4424)(380,4423)(381,4422)(382,4421)(383,4420)(384,4419)(385,4418)(386,4417)(387,4416)(388,4415)(389,4414)(390,4413)(391,4412)(392,4411)(393,4410)(394,4409)(395,4408)(396,4407)(397,4406)(398,4405)(399,4404)(400,4403)(401,4402)(402,4401)(403,4400)(404,4399)(405,4398)(406,4397)(407,4396)(408,4395)(409,4394)(410,4393)(411,4392)(412,4391)(413,4390)(414,4389)(415,4388)(416,4387)(417,4386)(418,4385)(419,4384)(420,4383)(421,4382)(422,4381)(423,4380)(424,4379)(425,4378)(426,4377)(427,4376)(428,4375)(429,4374)(430,4373)(431,4372)(432,4371)(433,4370)(434,4369)(435,4368)(436,4367)(437,4366)(438,4365)(439,4364)(440,4363)(441,4362)(442,4361)(443,4360)(444,4359)(445,4358)(446,4357)(447,4356)(448,4355)(449,4354)(450,4353)(451,4352)(452,4351)(453,4350)(454,4349)(455,4348)(456,4347)(457,4346)(458,4345)(459,4344)(460,4343)(461,4342)(462,4341)(463,4340)(464,4339)(465,4338)(466,4337)(467,4336)(468,4335)(469,4334)(470,4333)(471,4332)(472,4331)(473,4330)(474,4329)(475,4328)(476,4327)(477,4326)(478,4325)(479,4324)(480,4323)(481,4322)(482,4321)(483,4320)(484,4319)(485,4318)(486,4317)(487,4316)(488,4315)(489,4314)(490,4313)(491,4312)(492,4311)(493,4310)(494,4309)(495,4308)(496,4307)(497,4306)(498,4305)(499,4304)(500,4303)(501,4302)(502,4301)(503,4300)(504,4299)(505,4298)(506,4297)(507,4296)(508,4295)(509,4294)(510,4293)(511,4292)(512,4291)(513,4290)(514,4289)(515,4288)(516,4287)(517,4286)(518,4285)(519,4284)(520,4283)(521,4282)(522,4281)(523,4280)(524,4279)(525,4278)(526,4277)(527,4276)(528,4275)(529,4274)(530,4273)(531,4272)(532,4271)(533,4270)(534,4269)(535,4268)(536,4267)(537,4266)(538,4265)(539,4264)(540,4263)(541,4262)(542,4261)(543,4260)(544,4259)(545,4258)(546,4257)(547,4256)(548,4255)(549,4254)(550,4253)(551,4252)(552,4251)(553,4250)(554,4249)(555,4248)(556,4247)(557,4246)(558,4245)(559,4244)(560,4243)(561,4242)(562,4241)(563,4240)(564,4239)(565,4238)(566,4237)(567,4236)(568,4235)(569,4234)(570,4233)(571,4232)(572,4231)(573,4230)(574,4229)(575,4228)(576,4227)(577,4226)(578,4225)(579,4224)(580,4223)(581,4222)(582,4221)(583,4220)(584,4219)(585,4218)(586,4217)(587,4216)(588,4215)(589,4214)(590,4213)(591,4212)(592,4211)(593,4210)(594,4209)(595,4208)(596,4207)(597,4206)(598,4205)(599,4204)(600,4203)(601,4202)(602,4201)(603,4200)(604,4199)(605,4198)(606,4197)(607,4196)(608,4195)(609,4194)(610,4193)(611,4192)(612,4191)(613,4190)(614,4189)(615,4188)(616,4187)(617,4186)(618,4185)(619,4184)(620,4183)(621,4182)(622,4181)(623,4180)(624,4179)(625,4178)(626,4177)(627,4176)(628,4175)(629,4174)(630,4173)(631,4172)(632,4171)(633,4170)(634,4169)(635,4168)(636,4167)(637,4166)(638,4165)(639,4164)(640,4163)(641,4162)(642,4161)(643,4160)(644,4159)(645,4158)(646,4157)(647,4156)(648,4155)(649,4154)(650,4153)(651,4152)(652,4151)(653,4150)(654,4149)(655,4148)(656,4147)(657,4146)(658,4145)(659,4144)(660,4143)(661,4142)(662,4141)(663,4140)(664,4139)(665,4138)(666,4137)(667,4136)(668,4135)(669,4134)(670,4133)(671,4132)(672,4131)(673,4130)(674,4129)(675,4128)(676,4127)(677,4126)(678,4125)(679,4124)(680,4123)(681,4122)(682,4121)(683,4120)(684,4119)(685,4118)(686,4117)(687,4116)(688,4115)(689,4114)(690,4113)(691,4112)(692,4111)(693,4110)(694,4109)(695,4108)(696,4107)(697,4106)(698,4105)(699,4104)(700,4103)(701,4102)(702,4101)(703,4100)(704,4099)(705,4098)(706,4097)(707,4096)(708,4095)(709,4094)(710,4093)(711,4092)(712,4091)(713,4090)(714,4089)(715,4088)(716,4087)(717,4086)(718,4085)(719,4084)(720,4083)(721,4082)(722,4081)(723,4080)(724,4079)(725,4078)(726,4077)(727,4076)(728,4075)(729,4074)(730,4073)(731,4072)(732,4071)(733,4070)(734,4069)(735,4068)(736,4067)(737,4066)(738,4065)(739,4064)(740,4063)(741,4062)(742,4061)(743,4060)(744,4059)(745,4058)(746,4057)(747,4056)(748,4055)(749,4054)(750,4053)(751,4052)(752,4051)(753,4050)(754,4049)(755,4048)(756,4047)(757,4046)(758,4045)(759,4044)(760,4043)(761,4042)(762,4041)(763,4040)(764,4039)(765,4038)(766,4037)(767,4036)(768,4035)(769,4034)(770,4033)(771,4032)(772,4031)(773,4030)(774,4029)(775,4028)(776,4027)(777,4026)(778,4025)(779,4024)(780,4023)(781,4022)(782,4021)(783,4020)(784,4019)(785,4018)(786,4017)(787,4016)(788,4015)(789,4014)(790,4013)(791,4012)(792,4011)(793,4010)(794,4009)(795,4008)(796,4007)(797,4006)(798,4005)(799,4004)(800,4003)(801,4002)(802,4001)(803,4000)(804,3999)(805,3998)(806,3997)(807,3996)(808,3995)(809,3994)(810,3993)(811,3992)(812,3991)(813,3990)(814,3989)(815,3988)(816,3987)(817,3986)(818,3985)(819,3984)(820,3983)(821,3982)(822,3981)(823,3980)(824,3979)(825,3978)(826,3977)(827,3976)(828,3975)(829,3974)(830,3973)(831,3972)(832,3971)(833,3970)(834,3969)(835,3968)(836,3967)(837,3966)(838,3965)(839,3964)(840,3963)(841,3962)(842,3961)(843,3960)(844,3959)(845,3958)(846,3957)(847,3956)(848,3955)(849,3954)(850,3953)(851,3952)(852,3951)(853,3950)(854,3949)(855,3948)(856,3947)(857,3946)(858,3945)(859,3944)(860,3943)(861,3942)(862,3941)(863,3940)(864,3939)(865,3938)(866,3937)(867,3936)(868,3935)(869,3934)(870,3933)(871,3932)(872,3931)(873,3930)(874,3929)(875,3928)(876,3927)(877,3926)(878,3925)(879,3924)(880,3923)(881,3922)(882,3921)(883,3920)(884,3919)(885,3918)(886,3917)(887,3916)(888,3915)(889,3914)(890,3913)(891,3912)(892,3911)(893,3910)(894,3909)(895,3908)(896,3907)(897,3906)(898,3905)(899,3904)(900,3903)(901,3902)(902,3901)(903,3900)(904,3899)(905,3898)(906,3897)(907,3896)(908,3895)(909,3894)(910,3893)(911,3892)(912,3891)(913,3890)(914,3889)(915,3888)(916,3887)(917,3886)(918,3885)(919,3884)(920,3883)(921,3882)(922,3881)(923,3880)(924,3879)(925,3878)(926,3877)(927,3876)(928,3875)(929,3874)(930,3873)(931,3872)(932,3871)(933,3870)(934,3869)(935,3868)(936,3867)(937,3866)(938,3865)(939,3864)(940,3863)(941,3862)(942,3861)(943,3860)(944,3859)(945,3858)(946,3857)(947,3856)(948,3855)(949,3854)(950,3853)(951,3852)(952,3851)(953,3850)(954,3849)(955,3848)(956,3847)(957,3846)(958,3845)(959,3844)(960,3843)(961,3842)(962,3841)(963,3840)(964,3839)(965,3838)(966,3837)(967,3836)(968,3835)(969,3834)(970,3833)(971,3832)(972,3831)(973,3830)(974,3829)(975,3828)(976,3827)(977,3826)(978,3825)(979,3824)(980,3823)(981,3822)(982,3821)(983,3820)(984,3819)(985,3818)(986,3817)(987,3816)(988,3815)(989,3814)(990,3813)(991,3812)(992,3811)(993,3810)(994,3809)(995,3808)(996,3807)(997,3806)(998,3805)(999,3804)(1000,3803)(1001,3802)(1002,3801)(1003,3800)(1004,3799)(1005,3798)(1006,3797)(1007,3796)(1008,3795)(1009,3794)(1010,3793)(1011,3792)(1012,3791)(1013,3790)(1014,3789)(1015,3788)(1016,3787)(1017,3786)(1018,3785)(1019,3784)(1020,3783)(1021,3782)(1022,3781)(1023,3780)(1024,3779)(1025,3778)(1026,3777)(1027,3776)(1028,3775)(1029,3774)(1030,3773)(1031,3772)(1032,3771)(1033,3770)(1034,3769)(1035,3768)(1036,3767)(1037,3766)(1038,3765)(1039,3764)(1040,3763)(1041,3762)(1042,3761)(1043,3760)(1044,3759)(1045,3758)(1046,3757)(1047,3756)(1048,3755)(1049,3754)(1050,3753)(1051,3752)(1052,3751)(1053,3750)(1054,3749)(1055,3748)(1056,3747)(1057,3746)(1058,3745)(1059,3744)(1060,3743)(1061,3742)(1062,3741)(1063,3740)(1064,3739)(1065,3738)(1066,3737)(1067,3736)(1068,3735)(1069,3734)(1070,3733)(1071,3732)(1072,3731)(1073,3730)(1074,3729)(1075,3728)(1076,3727)(1077,3726)(1078,3725)(1079,3724)(1080,3723)(1081,3722)(1082,3721)(1083,3720)(1084,3719)(1085,3718)(1086,3717)(1087,3716)(1088,3715)(1089,3714)(1090,3713)(1091,3712)(1092,3711)(1093,3710)(1094,3709)(1095,3708)(1096,3707)(1097,3706)(1098,3705)(1099,3704)(1100,3703)(1101,3702)(1102,3701)(1103,3700)(1104,3699)(1105,3698)(1106,3697)(1107,3696)(1108,3695)(1109,3694)(1110,3693)(1111,3692)(1112,3691)(1113,3690)(1114,3689)(1115,3688)(1116,3687)(1117,3686)(1118,3685)(1119,3684)(1120,3683)(1121,3682)(1122,3681)(1123,3680)(1124,3679)(1125,3678)(1126,3677)(1127,3676)(1128,3675)(1129,3674)(1130,3673)(1131,3672)(1132,3671)(1133,3670)(1134,3669)(1135,3668)(1136,3667)(1137,3666)(1138,3665)(1139,3664)(1140,3663)(1141,3662)(1142,3661)(1143,3660)(1144,3659)(1145,3658)(1146,3657)(1147,3656)(1148,3655)(1149,3654)(1150,3653)(1151,3652)(1152,3651)(1153,3650)(1154,3649)(1155,3648)(1156,3647)(1157,3646)(1158,3645)(1159,3644)(1160,3643)(1161,3642)(1162,3641)(1163,3640)(1164,3639)(1165,3638)(1166,3637)(1167,3636)(1168,3635)(1169,3634)(1170,3633)(1171,3632)(1172,3631)(1173,3630)(1174,3629)(1175,3628)(1176,3627)(1177,3626)(1178,3625)(1179,3624)(1180,3623)(1181,3622)(1182,3621)(1183,3620)(1184,3619)(1185,3618)(1186,3617)(1187,3616)(1188,3615)(1189,3614)(1190,3613)(1191,3612)(1192,3611)(1193,3610)(1194,3609)(1195,3608)(1196,3607)(1197,3606)(1198,3605)(1199,3604)(1200,3603)(1201,3602)(1202,3601)(1203,3600)(1204,3599)(1205,3598)(1206,3597)(1207,3596)(1208,3595)(1209,3594)(1210,3593)(1211,3592)(1212,3591)(1213,3590)(1214,3589)(1215,3588)(1216,3587)(1217,3586)(1218,3585)(1219,3584)(1220,3583)(1221,3582)(1222,3581)(1223,3580)(1224,3579)(1225,3578)(1226,3577)(1227,3576)(1228,3575)(1229,3574)(1230,3573)(1231,3572)(1232,3571)(1233,3570)(1234,3569)(1235,3568)(1236,3567)(1237,3566)(1238,3565)(1239,3564)(1240,3563)(1241,3562)(1242,3561)(1243,3560)(1244,3559)(1245,3558)(1246,3557)(1247,3556)(1248,3555)(1249,3554)(1250,3553)(1251,3552)(1252,3551)(1253,3550)(1254,3549)(1255,3548)(1256,3547)(1257,3546)(1258,3545)(1259,3544)(1260,3543)(1261,3542)(1262,3541)(1263,3540)(1264,3539)(1265,3538)(1266,3537)(1267,3536)(1268,3535)(1269,3534)(1270,3533)(1271,3532)(1272,3531)(1273,3530)(1274,3529)(1275,3528)(1276,3527)(1277,3526)(1278,3525)(1279,3524)(1280,3523)(1281,3522)(1282,3521)(1283,3520)(1284,3519)(1285,3518)(1286,3517)(1287,3516)(1288,3515)(1289,3514)(1290,3513)(1291,3512)(1292,3511)(1293,3510)(1294,3509)(1295,3508)(1296,3507)(1297,3506)(1298,3505)(1299,3504)(1300,3503)(1301,3502)(1302,3501)(1303,3500)(1304,3499)(1305,3498)(1306,3497)(1307,3496)(1308,3495)(1309,3494)(1310,3493)(1311,3492)(1312,3491)(1313,3490)(1314,3489)(1315,3488)(1316,3487)(1317,3486)(1318,3485)(1319,3484)(1320,3483)(1321,3482)(1322,3481)(1323,3480)(1324,3479)(1325,3478)(1326,3477)(1327,3476)(1328,3475)(1329,3474)(1330,3473)(1331,3472)(1332,3471)(1333,3470)(1334,3469)(1335,3468)(1336,3467)(1337,3466)(1338,3465)(1339,3464)(1340,3463)(1341,3462)(1342,3461)(1343,3460)(1344,3459)(1345,3458)(1346,3457)(1347,3456)(1348,3455)(1349,3454)(1350,3453)(1351,3452)(1352,3451)(1353,3450)(1354,3449)(1355,3448)(1356,3447)(1357,3446)(1358,3445)(1359,3444)(1360,3443)(1361,3442)(1362,3441)(1363,3440)(1364,3439)(1365,3438)(1366,3437)(1367,3436)(1368,3435)(1369,3434)(1370,3433)(1371,3432)(1372,3431)(1373,3430)(1374,3429)(1375,3428)(1376,3427)(1377,3426)(1378,3425)(1379,3424)(1380,3423)(1381,3422)(1382,3421)(1383,3420)(1384,3419)(1385,3418)(1386,3417)(1387,3416)(1388,3415)(1389,3414)(1390,3413)(1391,3412)(1392,3411)(1393,3410)(1394,3409)(1395,3408)(1396,3407)(1397,3406)(1398,3405)(1399,3404)(1400,3403)(1401,3402)(1402,3401)(1403,3400)(1404,3399)(1405,3398)(1406,3397)(1407,3396)(1408,3395)(1409,3394)(1410,3393)(1411,3392)(1412,3391)(1413,3390)(1414,3389)(1415,3388)(1416,3387)(1417,3386)(1418,3385)(1419,3384)(1420,3383)(1421,3382)(1422,3381)(1423,3380)(1424,3379)(1425,3378)(1426,3377)(1427,3376)(1428,3375)(1429,3374)(1430,3373)(1431,3372)(1432,3371)(1433,3370)(1434,3369)(1435,3368)(1436,3367)(1437,3366)(1438,3365)(1439,3364)(1440,3363)(1441,3362)(1442,3361)(1443,3360)(1444,3359)(1445,3358)(1446,3357)(1447,3356)(1448,3355)(1449,3354)(1450,3353)(1451,3352)(1452,3351)(1453,3350)(1454,3349)(1455,3348)(1456,3347)(1457,3346)(1458,3345)(1459,3344)(1460,3343)(1461,3342)(1462,3341)(1463,3340)(1464,3339)(1465,3338)(1466,3337)(1467,3336)(1468,3335)(1469,3334)(1470,3333)(1471,3332)(1472,3331)(1473,3330)(1474,3329)(1475,3328)(1476,3327)(1477,3326)(1478,3325)(1479,3324)(1480,3323)(1481,3322)(1482,3321)(1483,3320)(1484,3319)(1485,3318)(1486,3317)(1487,3316)(1488,3315)(1489,3314)(1490,3313)(1491,3312)(1492,3311)(1493,3310)(1494,3309)(1495,3308)(1496,3307)(1497,3306)(1498,3305)(1499,3304)(1500,3303)(1501,3302)(1502,3301)(1503,3300)(1504,3299)(1505,3298)(1506,3297)(1507,3296)(1508,3295)(1509,3294)(1510,3293)(1511,3292)(1512,3291)(1513,3290)(1514,3289)(1515,3288)(1516,3287)(1517,3286)(1518,3285)(1519,3284)(1520,3283)(1521,3282)(1522,3281)(1523,3280)(1524,3279)(1525,3278)(1526,3277)(1527,3276)(1528,3275)(1529,3274)(1530,3273)(1531,3272)(1532,3271)(1533,3270)(1534,3269)(1535,3268)(1536,3267)(1537,3266)(1538,3265)(1539,3264)(1540,3263)(1541,3262)(1542,3261)(1543,3260)(1544,3259)(1545,3258)(1546,3257)(1547,3256)(1548,3255)(1549,3254)(1550,3253)(1551,3252)(1552,3251)(1553,3250)(1554,3249)(1555,3248)(1556,3247)(1557,3246)(1558,3245)(1559,3244)(1560,3243)(1561,3242)(1562,3241)(1563,3240)(1564,3239)(1565,3238)(1566,3237)(1567,3236)(1568,3235)(1569,3234)(1570,3233)(1571,3232)(1572,3231)(1573,3230)(1574,3229)(1575,3228)(1576,3227)(1577,3226)(1578,3225)(1579,3224)(1580,3223)(1581,3222)(1582,3221)(1583,3220)(1584,3219)(1585,3218)(1586,3217)(1587,3216)(1588,3215)(1589,3214)(1590,3213)(1591,3212)(1592,3211)(1593,3210)(1594,3209)(1595,3208)(1596,3207)(1597,3206)(1598,3205)(1599,3204)(1600,3203)(1601,3202)(1602,3201)(1603,3200)(1604,3199)(1605,3198)(1606,3197)(1607,3196)(1608,3195)(1609,3194)(1610,3193)(1611,3192)(1612,3191)(1613,3190)(1614,3189)(1615,3188)(1616,3187)(1617,3186)(1618,3185)(1619,3184)(1620,3183)(1621,3182)(1622,3181)(1623,3180)(1624,3179)(1625,3178)(1626,3177)(1627,3176)(1628,3175)(1629,3174)(1630,3173)(1631,3172)(1632,3171)(1633,3170)(1634,3169)(1635,3168)(1636,3167)(1637,3166)(1638,3165)(1639,3164)(1640,3163)(1641,3162)(1642,3161)(1643,3160)(1644,3159)(1645,3158)(1646,3157)(1647,3156)(1648,3155)(1649,3154)(1650,3153)(1651,3152)(1652,3151)(1653,3150)(1654,3149)(1655,3148)(1656,3147)(1657,3146)(1658,3145)(1659,3144)(1660,3143)(1661,3142)(1662,3141)(1663,3140)(1664,3139)(1665,3138)(1666,3137)(1667,3136)(1668,3135)(1669,3134)(1670,3133)(1671,3132)(1672,3131)(1673,3130)(1674,3129)(1675,3128)(1676,3127)(1677,3126)(1678,3125)(1679,3124)(1680,3123)(1681,3122)(1682,3121)(1683,3120)(1684,3119)(1685,3118)(1686,3117)(1687,3116)(1688,3115)(1689,3114)(1690,3113)(1691,3112)(1692,3111)(1693,3110)(1694,3109)(1695,3108)(1696,3107)(1697,3106)(1698,3105)(1699,3104)(1700,3103)(1701,3102)(1702,3101)(1703,3100)(1704,3099)(1705,3098)(1706,3097)(1707,3096)(1708,3095)(1709,3094)(1710,3093)(1711,3092)(1712,3091)(1713,3090)(1714,3089)(1715,3088)(1716,3087)(1717,3086)(1718,3085)(1719,3084)(1720,3083)(1721,3082)(1722,3081)(1723,3080)(1724,3079)(1725,3078)(1726,3077)(1727,3076)(1728,3075)(1729,3074)(1730,3073)(1731,3072)(1732,3071)(1733,3070)(1734,3069)(1735,3068)(1736,3067)(1737,3066)(1738,3065)(1739,3064)(1740,3063)(1741,3062)(1742,3061)(1743,3060)(1744,3059)(1745,3058)(1746,3057)(1747,3056)(1748,3055)(1749,3054)(1750,3053)(1751,3052)(1752,3051)(1753,3050)(1754,3049)(1755,3048)(1756,3047)(1757,3046)(1758,3045)(1759,3044)(1760,3043)(1761,3042)(1762,3041)(1763,3040)(1764,3039)(1765,3038)(1766,3037)(1767,3036)(1768,3035)(1769,3034)(1770,3033)(1771,3032)(1772,3031)(1773,3030)(1774,3029)(1775,3028)(1776,3027)(1777,3026)(1778,3025)(1779,3024)(1780,3023)(1781,3022)(1782,3021)(1783,3020)(1784,3019)(1785,3018)(1786,3017)(1787,3016)(1788,3015)(1789,3014)(1790,3013)(1791,3012)(1792,3011)(1793,3010)(1794,3009)(1795,3008)(1796,3007)(1797,3006)(1798,3005)(1799,3004)(1800,3003)(1801,3002)(1802,3001)(1803,3000)(1804,2999)(1805,2998)(1806,2997)(1807,2996)(1808,2995)(1809,2994)(1810,2993)(1811,2992)(1812,2991)(1813,2990)(1814,2989)(1815,2988)(1816,2987)(1817,2986)(1818,2985)(1819,2984)(1820,2983)(1821,2982)(1822,2981)(1823,2980)(1824,2979)(1825,2978)(1826,2977)(1827,2976)(1828,2975)(1829,2974)(1830,2973)(1831,2972)(1832,2971)(1833,2970)(1834,2969)(1835,2968)(1836,2967)(1837,2966)(1838,2965)(1839,2964)(1840,2963)(1841,2962)(1842,2961)(1843,2960)(1844,2959)(1845,2958)(1846,2957)(1847,2956)(1848,2955)(1849,2954)(1850,2953)(1851,2952)(1852,2951)(1853,2950)(1854,2949)(1855,2948)(1856,2947)(1857,2946)(1858,2945)(1859,2944)(1860,2943)(1861,2942)(1862,2941)(1863,2940)(1864,2939)(1865,2938)(1866,2937)(1867,2936)(1868,2935)(1869,2934)(1870,2933)(1871,2932)(1872,2931)(1873,2930)(1874,2929)(1875,2928)(1876,2927)(1877,2926)(1878,2925)(1879,2924)(1880,2923)(1881,2922)(1882,2921)(1883,2920)(1884,2919)(1885,2918)(1886,2917)(1887,2916)(1888,2915)(1889,2914)(1890,2913)(1891,2912)(1892,2911)(1893,2910)(1894,2909)(1895,2908)(1896,2907)(1897,2906)(1898,2905)(1899,2904)(1900,2903)(1901,2902)(1902,2901)(1903,2900)(1904,2899)(1905,2898)(1906,2897)(1907,2896)(1908,2895)(1909,2894)(1910,2893)(1911,2892)(1912,2891)(1913,2890)(1914,2889)(1915,2888)(1916,2887)(1917,2886)(1918,2885)(1919,2884)(1920,2883)(1921,2882)(1922,2881)(1923,2880)(1924,2879)(1925,2878)(1926,2877)(1927,2876)(1928,2875)(1929,2874)(1930,2873)(1931,2872)(1932,2871)(1933,2870)(1934,2869)(1935,2868)(1936,2867)(1937,2866)(1938,2865)(1939,2864)(1940,2863)(1941,2862)(1942,2861)(1943,2860)(1944,2859)(1945,2858)(1946,2857)(1947,2856)(1948,2855)(1949,2854)(1950,2853)(1951,2852)(1952,2851)(1953,2850)(1954,2849)(1955,2848)(1956,2847)(1957,2846)(1958,2845)(1959,2844)(1960,2843)(1961,2842)(1962,2841)(1963,2840)(1964,2839)(1965,2838)(1966,2837)(1967,2836)(1968,2835)(1969,2834)(1970,2833)(1971,2832)(1972,2831)(1973,2830)(1974,2829)(1975,2828)(1976,2827)(1977,2826)(1978,2825)(1979,2824)(1980,2823)(1981,2822)(1982,2821)(1983,2820)(1984,2819)(1985,2818)(1986,2817)(1987,2816)(1988,2815)(1989,2814)(1990,2813)(1991,2812)(1992,2811)(1993,2810)(1994,2809)(1995,2808)(1996,2807)(1997,2806)(1998,2805)(1999,2804)(2000,2803)(2001,2802)(2002,2801)(2003,2800)(2004,2799)(2005,2798)(2006,2797)(2007,2796)(2008,2795)(2009,2794)(2010,2793)(2011,2792)(2012,2791)(2013,2790)(2014,2789)(2015,2788)(2016,2787)(2017,2786)(2018,2785)(2019,2784)(2020,2783)(2021,2782)(2022,2781)(2023,2780)(2024,2779)(2025,2778)(2026,2777)(2027,2776)(2028,2775)(2029,2774)(2030,2773)(2031,2772)(2032,2771)(2033,2770)(2034,2769)(2035,2768)(2036,2767)(2037,2766)(2038,2765)(2039,2764)(2040,2763)(2041,2762)(2042,2761)(2043,2760)(2044,2759)(2045,2758)(2046,2757)(2047,2756)(2048,2755)(2049,2754)(2050,2753)(2051,2752)(2052,2751)(2053,2750)(2054,2749)(2055,2748)(2056,2747)(2057,2746)(2058,2745)(2059,2744)(2060,2743)(2061,2742)(2062,2741)(2063,2740)(2064,2739)(2065,2738)(2066,2737)(2067,2736)(2068,2735)(2069,2734)(2070,2733)(2071,2732)(2072,2731)(2073,2730)(2074,2729)(2075,2728)(2076,2727)(2077,2726)(2078,2725)(2079,2724)(2080,2723)(2081,2722)(2082,2721)(2083,2720)(2084,2719)(2085,2718)(2086,2717)(2087,2716)(2088,2715)(2089,2714)(2090,2713)(2091,2712)(2092,2711)(2093,2710)(2094,2709)(2095,2708)(2096,2707)(2097,2706)(2098,2705)(2099,2704)(2100,2703)(2101,2702)(2102,2701)(2103,2700)(2104,2699)(2105,2698)(2106,2697)(2107,2696)(2108,2695)(2109,2694)(2110,2693)(2111,2692)(2112,2691)(2113,2690)(2114,2689)(2115,2688)(2116,2687)(2117,2686)(2118,2685)(2119,2684)(2120,2683)(2121,2682)(2122,2681)(2123,2680)(2124,2679)(2125,2678)(2126,2677)(2127,2676)(2128,2675)(2129,2674)(2130,2673)(2131,2672)(2132,2671)(2133,2670)(2134,2669)(2135,2668)(2136,2667)(2137,2666)(2138,2665)(2139,2664)(2140,2663)(2141,2662)(2142,2661)(2143,2660)(2144,2659)(2145,2658)(2146,2657)(2147,2656)(2148,2655)(2149,2654)(2150,2653)(2151,2652)(2152,2651)(2153,2650)(2154,2649)(2155,2648)(2156,2647)(2157,2646)(2158,2645)(2159,2644)(2160,2643)(2161,2642)(2162,2641)(2163,2640)(2164,2639)(2165,2638)(2166,2637)(2167,2636)(2168,2635)(2169,2634)(2170,2633)(2171,2632)(2172,2631)(2173,2630)(2174,2629)(2175,2628)(2176,2627)(2177,2626)(2178,2625)(2179,2624)(2180,2623)(2181,2622)(2182,2621)(2183,2620)(2184,2619)(2185,2618)(2186,2617)(2187,2616)(2188,2615)(2189,2614)(2190,2613)(2191,2612)(2192,2611)(2193,2610)(2194,2609)(2195,2608)(2196,2607)(2197,2606)(2198,2605)(2199,2604)(2200,2603)(2201,2602)(2202,2601)(2203,2600)(2204,2599)(2205,2598)(2206,2597)(2207,2596)(2208,2595)(2209,2594)(2210,2593)(2211,2592)(2212,2591)(2213,2590)(2214,2589)(2215,2588)(2216,2587)(2217,2586)(2218,2585)(2219,2584)(2220,2583)(2221,2582)(2222,2581)(2223,2580)(2224,2579)(2225,2578)(2226,2577)(2227,2576)(2228,2575)(2229,2574)(2230,2573)(2231,2572)(2232,2571)(2233,2570)(2234,2569)(2235,2568)(2236,2567)(2237,2566)(2238,2565)(2239,2564)(2240,2563)(2241,2562)(2242,2561)(2243,2560)(2244,2559)(2245,2558)(2246,2557)(2247,2556)(2248,2555)(2249,2554)(2250,2553)(2251,2552)(2252,2551)(2253,2550)(2254,2549)(2255,2548)(2256,2547)(2257,2546)(2258,2545)(2259,2544)(2260,2543)(2261,2542)(2262,2541)(2263,2540)(2264,2539)(2265,2538)(2266,2537)(2267,2536)(2268,2535)(2269,2534)(2270,2533)(2271,2532)(2272,2531)(2273,2530)(2274,2529)(2275,2528)(2276,2527)(2277,2526)(2278,2525)(2279,2524)(2280,2523)(2281,2522)(2282,2521)(2283,2520)(2284,2519)(2285,2518)(2286,2517)(2287,2516)(2288,2515)(2289,2514)(2290,2513)(2291,2512)(2292,2511)(2293,2510)(2294,2509)(2295,2508)(2296,2507)(2297,2506)(2298,2505)(2299,2504)(2300,2503)(2301,2502)(2302,2501)(2303,2500)(2304,2499)(2305,2498)(2306,2497)(2307,2496)(2308,2495)(2309,2494)(2310,2493)(2311,2492)(2312,2491)(2313,2490)(2314,2489)(2315,2488)(2316,2487)(2317,2486)(2318,2485)(2319,2484)(2320,2483)(2321,2482)(2322,2481)(2323,2480)(2324,2479)(2325,2478)(2326,2477)(2327,2476)(2328,2475)(2329,2474)(2330,2473)(2331,2472)(2332,2471)(2333,2470)(2334,2469)(2335,2468)(2336,2467)(2337,2466)(2338,2465)(2339,2464)(2340,2463)(2341,2462)(2342,2461)(2343,2460)(2344,2459)(2345,2458)(2346,2457)(2347,2456)(2348,2455)(2349,2454)(2350,2453)(2351,2452)(2352,2451)(2353,2450)(2354,2449)(2355,2448)(2356,2447)(2357,2446)(2358,2445)(2359,2444)(2360,2443)(2361,2442)(2362,2441)(2363,2440)(2364,2439)(2365,2438)(2366,2437)(2367,2436)(2368,2435)(2369,2434)(2370,2433)(2371,2432)(2372,2431)(2373,2430)(2374,2429)(2375,2428)(2376,2427)(2377,2426)(2378,2425)(2379,2424)(2380,2423)(2381,2422)(2382,2421)(2383,2420)(2384,2419)(2385,2418)(2386,2417)(2387,2416)(2388,2415)(2389,2414)(2390,2413)(2391,2412)(2392,2411)(2393,2410)(2394,2409)(2395,2408)(2396,2407)(2397,2406)(2398,2405)(2399,2404)(2400,2403)(2401,2402)Polycyclic presentation:
2^3,4793|b^a=bc,d^a=d^4792,d^b=d^47929589 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(38344, 10);