Finite Group DatabasebetaFinite Group Databasebeta| order | 21005 |
| automorphism | ? |
| homology | Abelianization (H1) = C5 · Schur multiplier (H2) = C1 |
| unambiguous semidirect product | C4201⋊C5 |
| Fitting, socle, derived, Sylow | C4201 ⋊ C5 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C4201 | C5 |
| LCS | G ▷ C4201 | |
| UCS | C1 | |
4 conjugacy classes of subgroups.
| minimal degree | μ(G) = 4201 |
| transitive degree | μt(G) = 4201 |
A minimal faithful permutation representation — 2 generators on 4201 points:
(2,3,5,9,17)(4,7,13,25,48)(6,11,21,40,33)(8,15,29,56,105)(10,19,36,18,34)(12,23,44,82,90)(14,27,52,97,64)(16,31,60,113,204)(20,38,71,49,91)(22,42,78,75,65)(24,46,86,155,189)(26,50,93,35,66)(28,54,101,181,163)(30,58,109,196,121)(32,62,117,212,366)(37,69,41,76,68)(39,73,133,106,190)(43,80,144,148,164)(45,84,151,174,122)(47,88,159,275,351)(51,95,170,92,165)(53,99,177,137,123)(55,103,185,317,325)(57,107,192,67,124)(59,111,200,343,283)(61,115,208,358,220)(63,119,216,374,616)(70,128,83,149,167)(72,131,98,175,126)(74,135,238,205,352)(77,139,130,94,168)(79,142,141,138,127)(81,146,253,268,326)(85,153,264,310,284)(87,157,271,336,221)(89,161,279,463,601)(96,172,295,191,327)(100,179,306,257,285)(102,183,313,299,222)(104,187,321,526,575)(108,194,332,166,286)(110,198,339,242,223)(112,202,347,567,533)(114,206,354,125,224)(116,210,362,593,471)(118,214,370,608,382)(120,218,378,624,981)(129,229,156,269,329)(132,233,182,311,288)(134,236,197,337,226)(136,240,407,367,602)(140,245,235,193,330)(143,248,250,258,289)(145,251,261,300,227)(147,255,426,456,576)(150,259,292,169,290)(152,262,303,243,228)(154,266,441,519,534)(158,273,452,560,472)(160,277,459,586,383)(162,281,467,570,891)(171,293,176,301,231)(173,297,489,353,577)(178,304,247,244,232)(180,308,504,445,535)(184,315,515,508,473)(186,319,522,549,384)(188,323,530,832,942)(195,334,545,328,536)(199,341,556,430,474)(201,345,563,493,385)(203,349,571,893,900)(207,356,582,287,475)(209,360,589,411,386)(211,364,597,934,838)(213,368,604,225,387)(215,372,612,959,751)(217,376,620,973,632)(219,380,628,989,1481)(230,393,276,457,579)(234,398,318,520,538)(237,402,344,561,477)(239,405,359,587,389)(241,409,665,617,967)(246,415,404,355,580)(249,418,423,446,539)(252,421,438,509,478)(254,424,449,550,390)(256,428,688,737,943)(260,433,486,331,540)(263,436,501,431,479)(265,439,512,494,391)(267,443,707,825,901)(270,447,542,291,480)(272,450,553,412,392)(274,454,722,886,839)(278,461,733,927,752)(280,465,740,952,633)(282,469,747,1106,1466)(294,484,312,510,482)(296,487,338,551,395)(298,491,776,603,944)(302,496,400,333,543)(305,499,420,432,483)(307,502,435,495,396)(309,506,795,726,902)(314,513,498,413,397)(316,517,810,814,840)(320,524,821,875,753)(322,528,828,916,634)(324,532,836,1257,1330)(335,547,856,578,903)(340,554,417,414,401)(342,558,871,711,841)(346,565,882,799,754)(348,569,889,860,635)(350,573,897,1340,1407)(357,584,912,537,842)(361,591,923,692,755)(363,595,930,780,636)(365,599,938,1400,1346)(369,606,949,476,756)(371,610,955,669,637)(373,614,963,1437,1261)(375,618,969,388,638)(377,622,977,1458,1147)(379,626,985,1473,997)(381,630,993,1488,725)(394,645,464,738,946)(399,651,527,826,905)(403,656,568,887,844)(406,660,594,928,758)(408,663,609,953,640)(410,667,1039,982,1467)(416,674,662,605,947)(419,677,685,727,906)(422,680,704,815,845)(425,683,719,876,759)(427,686,730,917,641)(429,690,1066,892,1331)(434,696,773,581,907)(437,699,792,712,846)(440,702,807,800,760)(442,705,818,861,642)(444,709,1089,1250,1408)(448,714,853,541,847)(451,717,868,693,761)(453,720,879,781,643)(455,724,1107,1333,1347)(458,728,909,481,762)(460,731,920,670,644)(462,735,1121,1393,1262)(466,742,1132,1431,1148)(468,745,937,1398,998)(470,749,1143,1664,2093)(485,767,521,816,849)(488,771,562,877,764)(490,774,588,918,647)(492,778,1178,968,1445)(497,784,658,583,910)(500,787,682,713,850)(503,790,701,801,765)(505,793,716,862,648)(507,797,1201,1125,1409)(511,802,769,544,851)(514,805,789,694,766)(516,808,804,782,649)(518,812,1220,1239,1348)(523,819,865,671,650)(525,823,1235,1323,1263)(529,830,1246,1382,1149)(531,834,1253,1421,999)(546,854,552,863,653)(548,858,1286,945,1410)(555,866,679,695,770)(557,869,698,783,654)(559,873,1305,1110,1349)(564,880,786,672,655)(566,884,1319,1224,1264)(572,895,1336,1367,1000)(574,899,1344,1909,1889)(585,914,1363,904,1350)(590,921,676,673,659)(592,925,1378,1092,1265)(596,932,1389,1205,1150)(598,936,1396,1290,1001)(600,940,1404,1987,1993)(607,951,1419,843,1266)(611,957,1428,1070,1151)(613,961,1433,1182,1002)(615,965,1441,2035,1913)(619,971,1449,757,1152)(621,975,1454,1043,1003)(623,979,1462,2061,1808)(625,983,1469,639,1004)(627,987,1477,2085,1672)(629,991,1484,2098,1495)(631,995,1492,2110,2127)(646,1012,744,896,1338)(652,1019,833,1251,1412)(657,1025,894,1334,1351)(661,1030,935,1394,1268)(664,1034,960,1432,1154)(666,1037,974,1452,1006)(668,1041,1545,1482,2094)(675,1049,1036,970,1447)(678,1052,1063,1126,1413)(681,1055,1086,1240,1352)(684,1058,1104,1324,1269)(687,1061,1118,1383,1155)(689,1064,1129,1422,1007)(691,1068,1576,1619,2069)(697,1075,1176,948,1414)(700,1078,1198,1111,1353)(703,1081,1217,1225,1270)(706,1084,1232,1309,1156)(708,1087,1243,1368,1008)(710,1091,1603,1801,1890)(715,1096,1283,908,1354)(718,1099,1302,1093,1271)(721,1102,1316,1206,1157)(723,1105,1327,1291,1009)(729,1113,1360,848,1272)(732,1116,1375,1071,1158)(734,1119,1386,1183,1010)(736,1123,1638,1981,1914)(739,1127,1416,763,1159)(741,1130,1425,1044,1011)(743,1134,1651,2029,1809)(746,1138,1440,2033,1673)(748,1141,1637,2078,1496)(750,1145,1668,2297,1109)(768,1165,827,1241,1356)(772,1170,888,1325,1274)(775,1174,929,1384,1161)(777,1177,954,1423,1014)(779,1180,1707,1468,2070)(785,1187,1032,950,1417)(788,1190,1060,1112,1357)(791,1193,1083,1226,1275)(794,1196,1101,1310,1162)(796,1199,1115,1369,1015)(798,1203,1732,1332,1891)(803,1209,1172,911,1358)(806,1212,1195,1094,1276)(809,1215,1214,1207,1163)(811,1218,1229,1292,1016)(813,1222,1755,1790,1994)(817,1227,1279,852,1277)(820,1230,1299,1072,1164)(822,1233,1313,1184,1017)(824,1237,1772,1893,1915)(829,1244,1372,1045,1018)(831,1248,1786,1971,1810)(835,1255,1797,2022,1674)(837,1259,1804,1978,1497)(855,1281,878,1311,1167)(857,1284,919,1370,1021)(859,1288,1839,1446,1678)(864,1294,1027,913,1361)(867,1297,1057,1095,1280)(870,1300,1080,1208,1168)(872,1303,1098,1293,1022)(874,1307,1862,1641,1995)(881,1314,1192,1073,1169)(883,1317,1211,1185,1023)(885,1321,1878,1775,1916)(890,1328,1296,1046,1024)(898,1342,1905,2009,1498)(915,1365,1935,1411,1996)(922,1373,1054,1074,1173)(924,1376,1077,1186,1028)(926,1380,1953,1623,1917)(931,1387,1189,1047,1029)(933,1391,1967,1758,1811)(939,1402,1984,1939,1499)(941,1406,1991,2650,2535)(956,1426,1051,1048,1033)(958,1430,2020,1605,1812)(962,1435,2026,1736,1675)(964,1439,2031,1843,1500)(966,1443,2039,2700,2654)(972,1451,2047,1267,1813)(976,1456,2053,1580,1676)(978,1460,2057,1711,1501)(980,1464,2065,2727,2562)(984,1471,2075,1153,1677)(986,1475,2081,1549,1502)(988,1479,2089,2732,2448)(990,1483,2096,1005,1503)(992,1486,2101,2777,2304)(994,1490,2106,1566,2114)(996,1493,1685,2315,1660)(1013,1512,1140,1622,2072)(1020,1520,1258,1802,1900)(1026,1525,1341,1903,1997)(1031,1531,1401,1982,1918)(1035,1536,1438,2030,1815)(1038,1540,1459,2056,1679)(1040,1543,1474,2079,1505)(1042,1547,2169,2104,1124)(1050,1556,1542,1470,2073)(1053,1559,1573,1339,1901)(1056,1562,1600,1791,1998)(1059,1565,1620,1894,1919)(1062,1568,1635,1972,1816)(1065,1571,1648,2023,1680)(1067,1574,1399,1979,1506)(1069,1578,2202,2291,2766)(1076,1586,1705,1448,2043)(1079,1589,1730,1642,1999)(1082,1592,1752,1776,1920)(1085,1595,1770,1882,1817)(1088,1598,1783,1957,1681)(1090,1601,1794,2010,1507)(1097,1610,1837,1415,2000)(1100,1613,1859,1624,1921)(1103,1616,1875,1759,1818)(1108,1621,1897,1940,1508)(1114,1627,1932,1355,1922)(1117,1630,1950,1606,1819)(1120,1633,1964,1737,1682)(1122,1636,1975,1844,1509)(1128,1644,2006,1273,1820)(1131,1646,2017,1581,1683)(1133,1649,2024,1712,1510)(1135,1653,2278,2695,2563)(1136,1343,1907,1160,1684)(1137,1403,1986,1550,1511)(1139,1658,2064,2722,2449)(1142,1662,2277,2753,2305)(1144,1666,2293,2772,2115)(1146,1670,2301,2966,2803)(1166,1690,1252,1792,2002)(1171,1696,1335,1895,1923)(1175,1701,1395,1973,1822)(1179,1706,1453,2049,1514)(1181,1709,2338,2095,2767)(1188,1716,1538,1450,2045)(1191,1719,1570,1643,2003)(1194,1722,1597,1777,1924)(1197,1725,1618,1883,1823)(1200,1728,1632,1958,1686)(1202,1731,1645,2011,1515)(1204,1734,2363,2247,2734)(1210,1741,1703,1418,2004)(1213,1744,1727,1625,1925)(1216,1747,1749,1760,1824)(1219,1750,1767,1866,1687)(1221,1753,1780,1941,1516)(1223,1757,2388,2437,2536)(1228,1762,1833,1359,1926)(1231,1765,1856,1607,1825)(1234,1768,1872,1738,1688)(1236,1771,1886,1845,1517)(1238,1504,2122,1489,2105)(1242,1778,1928,1278,1826)(1245,1781,1947,1582,1689)(1247,1784,1961,1713,1518)(1249,1788,2420,2637,2564)(1254,1795,2014,1551,1519)(1256,1799,2433,2689,2450)(1260,1806,2444,2693,2306)(1282,1831,1326,1884,1828)(1285,1835,1385,1959,1692)(1287,1838,1424,2012,1521)(1289,1841,2483,2071,2735)(1295,1848,1533,1420,2007)(1298,1851,1567,1626,1929)(1301,1854,1594,1761,1829)(1304,1857,1615,1867,1693)(1306,1860,1629,1942,1522)(1308,1864,2508,1892,2309)(1312,1868,1698,1362,1930)(1315,1870,1724,1608,1830)(1318,1873,1746,1739,1694)(1320,1876,1764,1846,1523)(1322,1880,2526,2423,2655)(1329,1887,1853,1583,1695)(1337,1898,1944,1552,1524)(1345,1911,2558,2633,2116)(1364,1933,1371,1943,1527)(1366,1937,2587,2042,2316)(1374,1945,1564,1609,1834)(1377,1948,1591,1740,1699)(1379,1951,1612,1847,1528)(1381,1955,2607,2267,2656)(1388,1962,1721,1584,1700)(1390,1965,1743,1714,1529)(1392,1969,2622,2406,2565)(1397,1976,1850,1553,1530)(1405,1989,2647,2670,2117)(1427,2015,1561,1585,1704)(1429,2018,1588,1715,1534)(1434,2025,1718,1554,1535)(1436,2028,2687,2390,2451)(1442,2037,2697,2591,2118)(1444,2041,2704,3338,3186)(1455,2051,1558,1555,1539)(1457,2055,2716,2232,2452)(1461,2059,2719,2367,2307)(1463,2063,2724,2487,2119)(1465,2067,2731,3361,3298)(1472,2077,2742,1814,2453)(1476,2083,2750,2206,2308)(1478,2087,2755,2342,2120)(1480,2091,2762,3137,3210)(1485,2100,2775,2173,2121)(1487,2103,2780,3413,3100)(1491,2108,2786,2356,2970)(1494,2112,2351,3008,2871)(1513,2132,1665,2292,2769)(1526,2145,1910,2556,2545)(1532,2150,1988,2645,2657)(1537,2155,2036,2696,2566)(1541,2160,2062,2723,2455)(1544,2164,2086,2754,2310)(1546,2167,2099,2773,2124)(1548,2171,2847,2789,2804)(1557,2181,2166,2097,2770)(1560,2184,2199,2249,2737)(1563,2187,2229,2438,2546)(1569,2191,2264,2638,2567)(1572,2194,2275,2690,2456)(1575,2197,2034,2694,2311)(1577,2200,2263,2744,2125)(1579,2204,2877,2960,1640)(1587,2212,2336,2074,2738)(1590,2215,2361,1902,2547)(1593,2218,2386,2424,2658)(1596,2221,2404,2538,2568)(1599,2224,2418,2626,2457)(1602,2227,2430,2683,2312)(1604,2230,2441,2634,2126)(1611,2238,2481,2044,2348)(1614,2241,2506,2268,2659)(1617,2244,2523,2407,2569)(1628,2254,2585,2001,2660)(1631,2257,2604,2250,2570)(1634,2260,2619,2391,2458)(1639,2265,2641,2592,2128)(1647,2272,2680,2233,2459)(1650,2273,2685,2368,2313)(1652,2276,2691,2488,2129)(1654,1710,2340,2997,2782)(1655,1912,2560,1821,2460)(1656,1990,2649,2207,2314)(1657,2038,2699,2343,2130)(1659,2284,2761,3357,3211)(1661,2266,2747,2174,2131)(1663,2289,2945,3363,3101)(1667,2295,2957,3409,2971)(1669,2299,2962,2189,2793)(1671,2302,2461,3111,2286)(1691,2320,1803,2439,2553)(1697,2324,1904,2549,2661)(1702,2330,1983,2639,2571)(1708,2337,2080,2745,2134)(1717,2347,2162,2076,2740)(1720,2350,2196,1908,2554)(1723,2352,2226,2425,2662)(1726,2355,2248,2539,2572)(1729,2358,2262,2627,2462)(1733,2362,1980,2635,2135)(1735,2365,3019,2953,3397)(1742,2372,2334,2046,2707)(1745,2375,2360,2269,2663)(1748,2378,2383,2408,2573)(1751,2381,2403,2529,2463)(1754,2384,2415,2611,2317)(1756,2387,2427,2671,2136)(1763,2395,2479,2005,2664)(1766,2398,2503,2251,2574)(1769,2401,2520,2392,2464)(1773,2405,2542,2593,2137)(1774,2133,2809,2298,2961)(1779,2410,2581,1927,2575)(1782,2413,2601,2234,2465)(1785,2416,2616,2369,2318)(1787,2419,2630,2489,2138)(1789,2182,2857,2844,2783)(1793,2426,2666,1827,2466)(1796,2428,2677,2208,2319)(1798,2431,2684,2344,2139)(1800,2435,3083,3329,3212)(1805,2442,2644,2175,2140)(1807,2446,3096,3353,3102)(1832,2472,1896,2540,2576)(1836,2477,1974,2628,2468)(1840,2482,2050,2454,2141)(1842,2485,3134,2768,3398)(1849,2492,2157,2048,2709)(1852,2495,2193,2270,2667)(1855,2498,2223,2409,2577)(1858,2501,2246,2530,2469)(1861,2504,2259,2612,2321)(1863,2507,2271,2672,2142)(1865,2510,3159,2919,3366)(1869,2514,2332,2008,2668)(1871,2516,2357,2252,2578)(1874,2518,2380,2393,2470)(1877,2521,2400,2512,2322)(1879,2524,2412,2594,2143)(1881,2528,3178,3086,2973)(1885,2531,2474,1931,2579)(1888,2533,2500,2235,2471)(1899,2543,2598,2209,2323)(1906,2551,2674,2176,2144)(1934,2583,1960,2613,2326)(1936,2586,2013,2673,2146)(1938,2589,3235,2736,3367)(1946,2597,2190,2253,2582)(1949,2599,2220,2394,2475)(1952,2602,2243,2513,2327)(1954,2605,2256,2595,2147)(1956,2609,3254,2537,2979)(1963,2614,2354,2236,2476)(1966,2617,2377,2370,2328)(1968,2620,2397,2490,2148)(1970,2624,3269,3073,3299)(1977,2631,2497,2210,2329)(1985,2642,2596,2177,2149)(1992,2652,3295,3277,2794)(2016,2675,2188,2237,2480)(2019,2678,2217,2371,2333)(2021,2681,2240,2491,2152)(2027,2686,2374,2345,2153)(2032,2692,2494,2178,2154)(2040,2702,3335,3312,2795)(2052,2712,2186,2211,2335)(2054,2714,2214,2346,2158)(2058,2718,2349,2179,2159)(2060,2721,3351,3043,3103)(2066,2729,3359,3239,2796)(2068,2733,3364,3850,3724)(2082,2748,2183,2180,2163)(2084,2752,3381,2904,3104)(2088,2757,3386,3023,2972)(2090,2760,3389,3138,2797)(2092,2764,3395,3871,3813)(2102,2779,3411,3001,2798)(2107,2785,2222,2849,2799)(2109,2788,3422,3152,3653)(2111,2790,2814,2123,2800)(2113,2791,3031,3600,3588)(2151,2826,2651,3293,3193)(2156,2829,2701,3334,3300)(2161,2834,2728,3358,3213)(2165,2839,2759,3365,3106)(2168,2842,2778,3410,2974)(2170,2845,2784,2192,2801)(2172,2848,2881,2978,2287)(2185,2860,2874,2954,3400)(2195,2866,2941,3330,3214)(2198,2869,2726,3354,3107)(2201,2872,2940,3383,2975)(2203,2875,2955,3403,2802)(2205,2879,3494,3558,3432)(2213,2886,2995,2771,3401)(2216,2889,3017,2921,3368)(2219,2892,3041,3087,3194)(2225,2896,3071,3280,3215)(2228,2899,3081,3326,3108)(2231,2902,3093,3328,2976)(2239,2910,3132,2739,3369)(2242,2913,3157,2548,3006)(2245,2916,3176,3074,3301)(2255,2926,3233,2706,3009)(2258,2927,3252,2935,3302)(2261,2930,3266,3058,3216)(2274,2939,3324,3044,3109)(2279,2942,3331,3240,2805)(2280,2366,3021,3591,3551)(2281,2653,3297,2905,3110)(2282,2703,3337,3024,2977)(2283,2730,3355,3139,2806)(2285,2486,3136,3680,3416)(2288,2943,3384,3002,2807)(2290,2951,3541,3682,3743)(2294,2956,3406,2850,2808)(2296,2959,3549,3886,3654)(2300,2964,3555,3011,3562)(2303,2968,3147,3689,3486)(2325,2984,2557,3203,3199)(2331,2988,2646,3288,3303)(2339,2996,2774,3404,2811)(2341,2999,3578,3424,3433)(2353,3010,2901,3088,3200)(2359,3013,2934,3281,3217)(2364,3018,2933,3374,2812)(2373,3027,2993,2741,3370)(2376,3030,3016,2555,3201)(2379,3032,3040,3075,3304)(2382,3035,3057,3187,3218)(2385,3038,3070,3272,3113)(2389,3042,3090,3278,2813)(2396,3048,3130,2708,3028)(2399,3051,3156,2936,3305)(2402,3054,3173,3059,3219)(2411,3062,3231,2665,3306)(2414,3065,3249,2922,3220)(2417,3068,3263,3045,3114)(2421,3072,3284,3241,2815)(2422,2861,3478,3491,3552)(2429,3078,3320,2906,3115)(2432,3079,3323,3025,2980)(2434,3082,3327,3140,2816)(2436,2887,3499,3576,3417)(2440,3089,3207,2467,3116)(2443,3091,3292,2882,2981)(2445,3094,3333,3003,2817)(2447,3098,3650,3845,3744)(2473,3120,2550,3196,3307)(2478,3126,2640,3282,3221)(2484,3133,2746,3375,2818)(2493,3143,2836,2743,3372)(2496,3146,2868,2561,3208)(2499,3148,2898,3076,3308)(2502,3151,2920,3188,3222)(2505,3154,2932,3273,3117)(2509,3158,2636,3105,2819)(2511,3161,3700,3544,3874)(2515,3165,2991,2710,3343)(2517,3167,3015,2937,3309)(2519,3169,3037,3060,3223)(2522,3171,3056,3180,3118)(2525,3174,3067,3258,2982)(2527,3177,3077,3313,2820)(2532,3182,3128,2669,3310)(2534,3184,3153,2923,3224)(2541,3189,3226,2580,3225)(2544,3191,3246,2907,3119)(2552,3197,3317,2883,2983)(2559,3205,3287,2851,2821)(2584,3229,2629,3274,3122)(2588,3234,2711,3112,2822)(2590,3237,3763,3399,3875)(2600,3245,2895,3061,3227)(2603,3247,2918,3181,3123)(2606,3250,2929,3259,2985)(2608,3253,2938,3314,2823)(2610,3256,3779,3524,3853)(2615,3260,3012,2924,3228)(2618,3261,3034,3046,3124)(2621,3264,3053,3163,2986)(2623,3267,3064,3242,2824)(2625,3271,3792,3640,3566)(2632,3275,3150,2908,3125)(2643,3285,3244,2884,2987)(2648,3290,3315,2852,2825)(2676,3316,2864,2925,3232)(2679,3318,2893,3047,3129)(2682,3321,2915,3164,2990)(2688,3325,3050,3141,2827)(2698,3332,3243,2853,2828)(2705,3340,3835,3797,3427)(2713,3144,2863,2909,3131)(2715,3346,2891,3026,2992)(2717,3348,2912,3142,2831)(2720,3350,3029,3004,2832)(2725,3356,3145,2854,2833)(2749,3377,2862,2885,2994)(2751,3379,2888,3005,2837)(2756,3385,3007,2855,2838)(2758,3388,3866,3609,3655)(2763,3393,3766,3767,3428)(2765,3396,3873,4126,4055)(2776,3407,2859,2856,2841)(2781,3415,3888,3683,3429)(2787,3421,3036,3580,3430)(2792,3426,3617,3996,4036)(2810,3438,2967,3559,3441)(2830,3453,3339,3834,3731)(2835,3456,3362,3849,3814)(2840,3461,3392,3703,3745)(2843,3464,3414,3887,3657)(2846,3466,3420,3014,3563)(2858,3476,3468,3425,3442)(2865,3431,2878,3492,3553)(2867,3439,2998,3577,3418)(2870,3484,3391,3846,3746)(2873,3487,3538,3852,3658)(2876,3489,3547,3883,3564)(2880,3495,3511,3661,2948)(2890,3501,3589,3545,3876)(2894,3469,3437,2963,3554)(2897,3477,3475,3465,3419)(2900,3506,3638,3830,3747)(2903,3509,3648,3843,3659)(2911,3516,3678,3402,3877)(2914,3519,3698,3526,3854)(2917,3522,3716,3641,3583)(2928,3530,3777,3195,3585)(2931,3531,3790,3633,3815)(2944,3341,3837,3610,3660)(2946,3394,3847,3768,3434)(2947,3162,3702,4039,3965)(2949,3000,3579,3595,3565)(2950,3539,3868,3684,3435)(2952,3238,3765,4076,3890)(2958,3548,3884,3581,3436)(2965,3557,3970,3692,4014)(2969,3560,3708,4043,3983)(2989,3571,3294,3808,3733)(3020,3590,3546,3878,3440)(3022,3593,3986,3972,3899)(3033,3602,3608,3642,3734)(3039,3605,3632,3798,3748)(3049,3613,3676,3371,3855)(3052,3616,3697,3202,3598)(3055,3618,3715,3634,3816)(3063,3625,3760,3342,3601)(3066,3626,3776,3536,3817)(3069,3629,3787,3622,3749)(3080,3637,3829,3611,3663)(3084,3639,3831,3769,3443)(3085,3502,3938,3984,3966)(3092,3645,3812,3512,3664)(3095,3646,3833,3596,3567)(3097,3649,3844,3685,3444)(3099,3517,3947,4028,3891)(3121,3667,3204,3736,3739)(3127,3671,3289,3804,3818)(3135,3679,3405,3879,3445)(3149,3691,3508,3643,3740)(3155,3694,3535,3799,3750)(3160,3699,3534,3858,3446)(3166,3705,3573,3373,3856)(3168,3707,3587,3209,3741)(3170,3709,3607,3635,3819)(3172,3711,3621,3725,3751)(3175,3713,3631,3794,3665)(3179,3717,3644,3656,3447)(3183,3720,3674,3344,3614)(3185,3722,3696,3537,3820)(3190,3727,3758,3311,3821)(3192,3729,3773,3527,3752)(3198,3732,3826,3513,3666)(3206,3737,3807,3496,3568)(3230,3757,3283,3800,3753)(3236,3762,3376,3859,3448)(3248,3772,3525,3726,3754)(3251,3774,3533,3795,3668)(3255,3778,3279,3662,3449)(3257,3781,4087,3960,4128)(3262,3784,3604,3623,3755)(3265,3785,3620,3718,3669)(3268,3788,3628,3783,3569)(3270,3791,3636,3822,3450)(3276,3796,3693,3528,3756)(3286,3801,3771,3514,3670)(3291,3805,3824,3497,3570)(3296,3810,3803,3470,3451)(3319,3825,3505,3624,3759)(3322,3827,3523,3719,3673)(3336,3832,3823,3471,3452)(3345,3690,3482,3529,3761)(3347,3706,3504,3612,3675)(3349,3840,3521,3704,3572)(3352,3842,3615,3686,3454)(3360,3848,3770,3472,3455)(3378,3860,3481,3515,3677)(3380,3861,3503,3597,3574)(3382,3863,3518,3687,3458)(3387,3865,3599,3582,3459)(3390,3869,3688,3473,3460)(3408,3881,3480,3498,3575)(3412,3885,3584,3474,3463)(3423,3896,3712,4030,3898)(3457,3913,3851,4118,4061)(3462,3916,3872,4125,4108)(3467,3920,3895,3695,4015)(3479,3925,3934,3973,3904)(3483,3903,3592,3985,3967)(3485,3907,3681,4029,3892)(3488,3929,3958,4041,4066)(3490,3931,3963,4133,4016)(3493,3932,3968,3586,3975)(3500,3937,3979,3897,3905)(3507,3926,3936,3978,3893)(3510,3942,4012,4116,4067)(3520,3948,4037,3961,4129)(3532,3954,4095,4007,3982)(3540,3594,3987,3991,4017)(3542,3959,4078,4079,3900)(3543,3782,4089,4189,4157)(3550,3964,4134,4031,3901)(3556,3969,3603,3980,3902)(3561,3974,4054,4179,4175)(3606,3981,3924,3919,3894)(3619,3998,4049,4008,3988)(3627,4001,4085,3735,3989)(3630,4002,4094,4006,4109)(3647,4011,4114,3992,4019)(3651,4013,4117,4080,3906)(3652,3949,4153,4176,4158)(3672,4023,3809,4104,4063)(3701,4038,3962,4130,3908)(3710,4045,3990,4009,4064)(3714,4047,4005,4098,4068)(3721,4051,4025,3857,4119)(3723,4053,4035,3742,3994)(3728,4058,4073,3838,3997)(3730,4059,4084,3957,4110)(3738,4062,4107,3944,4020)(3764,4075,3880,4131,3909)(3775,4083,3956,4099,4069)(3780,4086,3955,4120,3910)(3786,4091,3999,4056,4070)(3789,4092,4004,4097,4021)(3793,4096,4010,4018,3911)(3802,4100,4082,3953,4071)(3806,4102,4111,3945,4022)(3811,4105,4103,3935,3976)(3828,4112,3952,4057,4072)(3836,4113,4101,3921,3912)(3839,4044,3941,4000,4074)(3841,4052,3951,4050,4024)(3862,4121,3940,3993,4026)(3864,4122,3950,4042,3977)(3867,4124,3995,4032,3914)(3870,4090,4081,3922,3915)(3882,4132,3927,3946,4027)(3889,4135,4033,3923,3918)(3917,4144,4127,4197,4183)(3928,4141,4040,4177,4159)(3930,4142,4077,4186,4136)(3933,4149,4160,4034,4169)(3939,4150,4163,4162,4140)(3943,4147,4152,4172,4137)(3971,4161,4046,4173,4139)(4003,4166,4192,4168,4164)(4048,4174,4146,4145,4138)(4060,4182,4187,4065,4165)(4088,4188,4156,4198,4143)(4093,4191,4167,4193,4184)(4106,4194,4195,4151,4170)(4115,4180,4155,4181,4185)(4123,4196,4154,4178,4171)(4148,4199,4190,4201,4200);(1,2,4,8,16,32,63,120,219,381,631,996,1494,2113,2792,2770,3400,1084,84,152,263,437,700,1079,1590,2216,2890,3502,3939,4075,2083,2751,3380,3862,2740,2112,830,1247,1785,2417,3069,3630,4003,2857,3475,3924,4146,3849,4029,4172,4179,2372,3026,2709,3208,3740,3970,4160,4100,1884,2530,3180,2204,2878,3493,3933,3832,1400,1981,2637,2215,240,408,664,1035,1537,2156,2830,1765,259,432,694,1072,1582,2208,2882,1336,1897,2542,1757,2389,2586,3232,3759,4072,3404,3878,1616,179,307,503,791,1194,1723,2353,1246,1783,2415,3067,3628,2482,3131,3675,4024,3377,967,1331,1890,2297,2960,3551,3965,4157,3639,1121,1635,2262,2932,3533,2337,2994,3574,3977,3346,947,1413,1998,2106,2784,3418,3892,4136,2999,938,1401,1983,2640,3283,2167,2841,2910,3515,3321,910,1357,1924,2572,3217,2410,3061,3623,3340,3836,3671,4022,4105,1903,1490,2107,2510,3160,3250,854,1280,1829,2469,3117,2257,334,546,855,1282,1832,2473,3121,1795,275,456,726,1110,1623,774,1173,1699,2327,2985,1969,2623,3268,3789,4093,3456,3413,3886,1649,208,359,588,919,1371,663,1033,1534,2152,1423,2011,2671,2790,3425,3897,2764,3389,3868,1439,2032,1820,2459,3109,2872,376,621,976,1457,1373,190,326,534,839,1262,1809,2449,3101,3654,4014,1690,2319,2980,2295,2958,3237,3764,3785,1300,168,289,478,759,1155,1680,2311,2975,3564,3975,1525,2144,2439,3088,3642,4008,4168,3713,1196,131,232,396,648,1015,1515,2135,2812,3440,3903,940,1405,1990,368,605,948,1415,2001,1061,58,110,199,342,559,874,1308,1865,2511,3162,3703,4041,2059,2720,2492,3142,3686,3509,742,1133,1650,2274,1959,2612,3258,2809,3437,3902,4139,3848,1437,2029,2689,2350,387,637,1002,1500,2118,2795,3427,1870,301,495,782,1184,1713,2344,3003,1396,1975,2630,2187,161,280,466,743,1135,1654,2280,1747,248,3,6,12,24,47,89,162,282,470,750,1146,1671,2303,2969,3561,3401,3876,1595,153,265,440,703,1082,1593,2219,1235,1770,2403,3056,3620,2752,3382,3864,4123,3370,2791,1248,1787,2293,2955,3546,3962,4156,3476,1107,1620,2248,2920,3525,3952,4155,3027,3597,3343,3741,4064,4161,2101,2778,2531,3181,3718,2879,897,1341,1904,2550,1982,2638,3280,2889,409,666,1038,1541,2161,2835,3457,2398,433,695,1073,1583,2209,2883,3496,1898,317,519,814,1224,1758,2390,3043,3609,3879,4130,2244,308,505,794,1197,1726,2356,3011,1784,271,449,716,1098,1612,2240,2912,3518,3860,1445,1891,2536,2961,3552,3966,4158,3411,3884,1636,200,344,562,878,1312,1869,2515,3166,3706,1414,1999,2658,2785,3419,3893,4137,3386,3579,1402,1985,2643,3286,3802,2842,3463,3516,3946,3827,1358,1925,2573,3218,3748,3062,3624,3351,3837,4114,4023,4170,4194,2549,2108,2787,3161,3701,3774,1281,1830,2470,3118,3665,2927,547,857,1285,1836,2478,3127,3672,2428,457,727,1111,1624,2250,1174,1700,2328,2986,3569,2624,3270,3269,3790,4094,3913,3887,4133,2273,360,590,922,1374,1946,1034,1535,2153,2827,2012,2672,3313,3178,3716,4049,3396,3869,1458,2033,2693,2460,3110,3660,3487,622,978,1461,2060,1945,327,535,840,1263,1810,2450,3102,1433,2024,2684,2320,2981,3567,2959,3550,3765,4077,4091,1854,290,479,760,1156,1681,2312,2976,1389,1964,2616,2145,2821,3089,3643,4009,3873,4127,4047,1725,233,397,649,1016,1516,2136,2813,1319,1875,2520,1406,1992,2653,606,950,1418,2005,2665,1568,111,201,346,566,885,1322,1881,1220,1752,2383,3037,3604,2721,3352,3143,3687,4032,3942,1134,1652,2277,2940,2613,3259,3783,3438,1089,1600,2226,2898,2030,2690,3326,3008,638,1003,1501,2119,2796,2089,2759,2516,496,783,1185,836,1258,1803,2440,1976,343,560,875,281,468,746,1139,1659,2285,2947,2378,418,7,14,28,55,104,188,324,313,512,804,1211,1743,2374,3029,3599,3877,4129,2221,266,442,706,1085,1596,2222,2894,1771,264,438,701,1080,1591,2217,2891,3503,3855,3426,1788,2421,2956,624,982,1468,2071,2736,1621,185,318,521,817,1228,1763,2396,3049,3614,3994,4126,4189,2779,3412,3182,3719,3381,3495,1342,1906,2552,3198,2639,3281,3798,3501,667,1040,1544,2165,2840,3462,3917,3051,696,1074,1584,2210,2884,3497,3935,2543,520,815,1225,1759,2391,3044,3610,3991,4131,4198,2916,506,796,1200,1729,2359,3014,3586,2416,450,25,49,92,166,287,476,757,1153,1678,2309,2973,3254,3777,4085,4187,3885,1473,2078,345,564,881,1315,1871,2517,3168,3708,4044,2000,2659,3301,3159,3698,4036,4175,3865,1454,1986,2644,3287,3803,4101,3464,3918,3947,4152,4112,1926,2574,3219,3019,3589,3625,4000,3842,1428,2017,2677,3317,3824,3196,2788,3423,3702,4040,4083,1831,2471,2650,2877,3491,3530,858,1287,1378,1950,2601,3246,3771,3078,728,1112,1625,2251,2922,1701,2329,2558,2301,2967,3271,3793,3791,1305,1859,2503,3153,3693,2939,591,924,1377,1949,2600,1536,2154,2444,3093,2673,3314,3822,3717,1201,1730,2360,3015,2056,2694,3328,3111,3661,4017,3929,979,1463,2064,2726,2597,536,841,1264,1066,1573,2196,2868,2025,358,586,916,1367,1939,2591,3239,3767,2065,2728,2498,480,761,1157,747,1140,1660,2286,1965,339,553,865,1296,1850,2494,3145,3688,4033,4174,2355,398,650,1017,1517,2137,2814,3441,1876,306,501,789,1192,1721,951,1420,2008,2669,3311,2191,202,348,570,892,1332,1892,2537,1753,253,423,682,1057,1564,2188,2863,3481,3927,4147,1653,2279,2943,620,974,1453,2050,2711,1601,159,276,458,729,1114,1628,2255,1004,1502,2120,2797,3428,2760,3390,3167,784,1186,1714,1259,1805,2443,3092,2631,561,876,1309,469,748,1142,1663,2290,2952,3543,3032,677,15,30,59,112,203,350,574,513,40,75,137,242,411,669,1043,1549,2173,2849,443,708,1088,1599,2225,2897,1481,2093,439,21,41,77,140,246,416,675,1050,1557,2182,2858,3235,983,1470,2074,2739,1469,2072,319,523,820,1231,1766,2399,3052,3617,3997,4165,4197,4201,3134,3678,3720,4050,3863,1449,1907,2553,3199,3733,3282,3799,4098,3938,1041,1546,2168,2843,2700,2997,3576,3616,1075,1585,1419,2006,2666,3307,3818,3191,816,1226,1760,2392,3045,3611,3992,2647,2847,3468,3522,797,1202,1363,1932,2581,3226,3753,3068,717,50,94,169,291,481,763,1160,1685,2316,2979,3566,3778,1286,1837,2479,3128,2079,2744,565,883,1318,1874,2519,3170,3710,2433,3081,2660,3302,3815,3699,1178,1705,2334,2991,2051,366,601,942,1407,1993,2654,3298,3813,2278,2941,2575,3220,3749,3590,1039,1542,2162,2836,2018,354,579,905,1351,1918,2566,3213,3745,2039,2701,2472,3119,3293,3492,628,990,1288,1840,1951,332,542,849,1274,1822,1113,1626,2252,2923,3527,2330,2987,3205,832,1250,1790,2423,3073,1860,295,486,769,1167,1692,925,1379,1952,2603,3248,2155,2828,3094,740,1129,1645,2271,2938,1731,238,404,658,1027,1527,2146,2822,3448,3909,4142,1464,2066,2730,612,960,842,1265,1811,1574,117,213,369,607,587,917,1368,1940,2592,3240,3768,4079,2729,3360,3148,762,1158,1682,1141,1661,2287,2948,2617,554,48,90,163,283,471,751,1147,1672,2304,2970,651,1018,1518,2138,2815,3442,3904,2521,502,36,68,126,226,389,640,1006,1505,2124,2801,349,572,896,1339,1902,2548,3195,2384,424,13,26,51,96,173,298,492,779,1181,1710,2341,3000,975,1455,2052,2713,3345,2227,277,460,732,1117,1631,2258,2928,1503,2121,2798,3429,2727,3357,3845,3707,1187,1715,2345,1806,2445,3095,3647,3275,877,1310,1866,749,1144,1667,2296,2697,3331,3831,3602,1052,31,61,116,211,365,600,941,805,76,138,243,412,670,1044,1550,2174,2850,3469,709,1090,1602,2228,2900,3507,2094,2766,702,42,79,143,249,419,678,1053,1560,2185,2861,3479,3762,1471,2076,2741,3371,2073,2737,524,822,1234,1769,2402,3055,3619,2420,3071,3632,4005,4167,3679,4027,4051,4178,4122,2045,2554,3200,3555,3968,3800,4099,4193,4150,1547,2170,2846,3467,3334,3577,3978,3996,1586,2211,2007,2667,3308,3422,3895,3729,1227,1761,2393,1991,2651,3294,3809,3290,893,1333,1893,1203,1733,1933,2582,3227,3754,4069,3629,1099,95,171,294,485,768,1166,1691,828,1243,1780,2412,3064,1838,2480,3129,3673,2745,3374,884,1320,1877,2522,3172,3712,4046,3082,733,1118,1632,2259,2929,1706,2335,2992,3572,2712,602,943,1408,1488,2104,2782,3416,3890,2942,597,935,1395,1974,2629,1543,2163,2837,3458,2678,580,906,1352,1919,2567,3214,3746,4066,2702,3336,3120,3666,3808,3932,991,1485,1841,2484,2602,543,850,1275,1823,2462,1627,2253,2924,3528,3953,2988,3570,3737,1251,1791,2424,3074,3633,2504,487,770,1168,1693,2321,1380,1954,2606,3251,3775,2829,3452,3646,1130,113,205,353,578,904,405,659,1028,1528,2147,2823,3449,3910,4143,4199,2067,2732,3363,961,1434,1266,1812,2451,2197,214,371,611,958,918,1369,1941,2593,3241,3769,4080,2724,3355,3844,3691,1159,1683,2313,1662,2288,2949,3540,3261,866,91,164,284,472,752,1148,1673,2305,2971,3562,1019,1519,2139,2816,3443,3905,4140,3171,790,69,127,227,390,641,1007,1506,2125,2802,3431,573,898,1343,1908,2555,3202,3735,3038,683,27,53,100,180,309,507,798,1204,1735,2366,3022,3594,1456,2054,2715,3347,3839,2899,461,734,1120,1634,2261,2931,3532,2122,2799,3430,3898,3358,3846,4116,4043,1716,2346,3004,2446,3097,3549,3963,3796,1311,1867,2512,1145,1669,2300,2965,3332,934,1393,1971,1559,62,118,215,373,615,966,1444,1212,139,244,413,671,1045,1551,2175,889,1327,1886,1091,1604,2231,2903,3510,3943,2767,3397,1081,80,145,252,422,681,1056,1563,821,1232,1767,2400,3053,2077,2743,3373,3857,2738,3368,823,1236,1664,2291,2953,3544,3960,3072,722,1104,1618,2246,2918,3523,3951,4154,4196,2707,3201,3734,3969,1484,2099,2774,3405,3880,2171,571,894,1335,1896,2541,3190,3728,2212,2885,2668,3309,3819,3896,4138,4059,1762,2394,3046,2652,3296,3811,4106,3805,1334,1894,2538,1734,2364,2583,3228,3755,4070,4184,4002,1613,172,296,488,772,1171,1697,2325,1244,155,268,445,711,1092,1605,2232,2904,3375,3858,1321,1879,2525,3175,3714,4048,2777,3409,1119,109,197,338,552,864,1295,1849,2493,3144,944,1409,1994,2105,2783,3417,3891,2755,3384,936,1397,1977,2632,3276,2164,2838,3459,3914,3318,907,1353,1920,2568,3215,3747,4067,2719,3337,3833,3667,4020,4104,4149,1486,2102,2485,3135,3247,851,1276,1824,2463,3113,2254,2925,2687,3324,3829,3571,3976,4062,1792,2425,3075,3634,4006,3154,771,1169,1694,2322,2982,1955,2608,2622,3266,3787,3453,3912,4011,1646,206,355,581,908,1355,660,1029,1529,2148,2824,3450,3911,2526,3176,3715,2733,3365,3852,1435,2027,1813,2452,3103,2869,372,613,962,1436,1370,1942,2594,2388,3041,3608,3990,3356,959,1431,2022,1684,2314,2977,2289,2950,3541,3958,3784,1297,165,285,473,753,1149,1674,2306,930,1386,1961,1520,2140,2817,3444,3906,3395,3872,3711,1193,128,228,391,642,1008,1507,2126,882,1316,1872,899,1345,1912,2561,3209,3742,4065,3605,1058,54,102,184,316,518,813,1223,810,1217,1749,2380,3034,2055,2717,3349,3841,4115,3506,735,1122,1637,2263,2933,3534,3955,2800,707,1086,1597,2223,2895,3505,3941,2347,3005,3582,3098,3651,3964,1477,2086,1868,2513,3163,1670,530,833,1252,1793,1394,1972,2626,2184,119,217,377,623,980,1465,2068,1744,245,414,672,1046,1552,2176,2851,1328,181,310,508,799,1205,1736,2367,3023,3398,3874,1592,146,254,425,684,1059,1566,2189,1233,151,261,435,698,1077,1588,2214,2888,3369,3854,1237,1773,2292,2954,3545,3961,2775,3406,1105,101,182,312,511,803,1210,1742,2373,3028,3598,3988,4087,2100,2776,3408,3882,2750,2848,895,1337,1899,2544,3192,3730,4060,2886,3498,3310,3820,3850,4039,4176,4182,2395,3047,2716,3297,3812,4107,4195,4102,1895,2539,3187,2365,3020,3229,3756,3835,3986,4163,4166,2241,297,490,775,1175,1702,2331,2989,1781,269,446,712,1093,1606,2233,2905,3511,3859,4120,1880,2527,2607,3252,3776,4084,3410,3883,1633,198,340,555,867,1298,1852,2496,3147,3690,1410,1995,2655,2508,3157,3697,4035,3385,973,1398,1978,2633,3277,3797,2839,3460,3650,4012,3825,1354,1921,2569,2363,3017,3588,3983,3350,955,1425,2014,2674,3315,3823,2103,2781,3136,3681,3772,1277,1825,2464,2202,2874,2926,3529,3325,923,1375,1947,2598,3244,2426,3076,3635,3364,3851,3694,1170,1695,1909,1668,2298,2609,3255,3267,871,1302,1856,2500,3150,2272,356,583,911,1359,1927,1030,1530,1804,2441,3090,3644,4010,3177,795,1198,1727,2357,3012,2028,2688,2453,3104,3655,3484,614,964,1440,2034,1943,2595,3242,3042,688,1063,1570,2193,1432,2023,2683,2315,2978,3565,2951,3542,3959,1462,2062,1851,286,474,754,467,744,1136,1655,1387,196,336,549,860,1290,1843,2487,3138,3683,4030,1722,229,392,643,1009,1508,2127,2803,1317,177,303,498,786,1189,1718,2349,3007,3584,3981,1565,103,186,320,525,824,1238,1774,1218,144,250,420,679,1054,1561,2186,2862,3480,3926,1123,1639,2266,374,617,968,1446,2042,1087,86,156,270,448,715,1097,1611,2239,2911,3517,3871,4076,2087,2756,2514,3164,2742,2302,834,1254,1796,2429,1973,2627,3272,2860,218,379,627,988,1480,2092,2765,2375,415,673,1047,1553,2177,2852,3470,1887,311,509,800,1206,1737,2368,3024,3595,3875,4128,2218,255,427,687,1062,1569,2192,2865,1768,262,9,18,35,67,125,225,388,639,1005,1504,2123,2587,3233,3760,4073,3407,981,1466,183,314,514,806,1213,1745,2376,3031,3601,3989,4164,4188,2483,3132,3676,4025,3379,969,1338,1900,2545,3193,3731,4061,4183,3499,3936,3821,4110,4118,4177,2338,2995,3048,3612,3348,949,1416,2002,2661,3303,2540,3188,3725,3021,3592,3757,4071,4113,1987,2169,2844,2913,491,777,912,1360,1928,2576,3221,2413,447,713,1094,1607,2234,2906,3512,1905,1492,2111,2528,3179,3253,856,1283,1833,2474,3122,2260,341,557,870,1301,1855,2499,3149,1797,2430,1996,2656,3299,3158,776,1176,1703,2332,1452,1979,2634,2966,3558,3972,3461,3915,4013,1651,2275,1922,2570,3216,3018,665,1036,1538,2157,1426,204,351,575,900,1346,1913,2562,3210,1441,2036,1826,2465,3114,2875,378,625,984,1472,1376,192,329,538,844,1268,1815,2455,3106,3657,4015,1696,2323,2556,2299,2963,3256,3780,3788,1303,170,292,482,764,1161,584,913,1362,1931,2580,1531,2149,2442,463,737,1125,1641,2267,1199,133,235,400,653,1021,1521,2141,2818,3445,3907,965,1442,2038,370,609,954,1424,2013,1064,60,114,207,357,585,915,1366,1938,2590,3238,3766,4078,2063,2725,2495,475,755,1150,745,1137,1656,2281,1962,337,550,861,1291,1844,2488,3139,3684,4031,4173,2352,393,644,1010,1509,2128,2804,3432,1873,304,17,33,64,121,220,382,632,997,1495,2114,187,322,529,831,1249,1789,2422,1750,251,5,10,20,39,74,136,241,410,668,1042,1548,2172,618,970,1448,2044,2706,1598,157,272,451,718,1100,1614,2242,2914,3520,3949,4125,4186,2757,3387,3165,3704,3372,2968,1255,1798,2432,3080,2628,3273,3794,3478,380,629,992,1487,2035,2695,3329,3030,674,1048,1554,2178,2853,3471,3921,2533,510,801,1207,1738,2369,3025,3596,1984,2641,3284,2892,428,689,1065,1572,2195,2867,3483,2401,436,19,37,70,129,230,394,646,1013,1513,2133,2810,3234,3761,4074,4185,3881,1467,2069,315,516,809,1216,1748,2379,3033,1786,2418,3070,3631,4004,3133,3677,4026,4171,3861,1447,1901,2546,2962,3553,3967,4159,4200,3937,1638,2264,2934,3535,3956,2996,3575,3613,3993,3840,1417,2003,2662,2786,3420,3189,3726,4056,3593,1404,1988,2646,3289,2645,2845,3465,3519,778,1179,1361,1929,2577,3222,3750,3065,714,1095,1608,2235,2907,3513,3944,2551,526,825,1239,1775,2406,1284,1834,2475,3123,3668,2930,558,872,1304,1858,2502,3152,3692,2431,459,730,1115,1629,2256,1177,1704,2333,2990,2049,2635,3278,3559,3973,4162,3916,3888,4134,2276,362,594,929,1385,1960,1037,1539,2158,2831,2015,352,576,901,1347,1914,2563,3211,3743,2037,2698,2466,3115,3663,3489,626,986,1476,2084,1948,330,539,845,1269,1816,2456,3107,3658,4016,4169,2324,2983,3203,2964,3556,3781,4088,4092,1857,293,483,765,1162,1686,914,1364,1934,2584,3230,2150,2825,3091,738,1126,1642,2268,2935,1728,236,401,654,1022,1522,2142,2819,3446,3908,4141,1443,2040,2703,610,956,1427,2016,2676,1571,115,209,361,592,926,1381,1956,2610,3257,3782,4090,2061,2722,3353,3146,756,1151,1675,1138,1657,2282,2944,2614,551,862,1292,1845,2489,3140,3685,2031,2691,3327,3010,645,1011,1510,2129,2805,3433,3899,2518,499,34,65,122,221,383,633,998,1496,2115,2793,323,531,835,1256,1800,2436,3085,2381,421,11,22,43,81,147,256,429,691,1069,1579,2205,2880,971,1450,2046,2708,3342,2224,273,453,721,1103,1617,2245,2917,1772,2404,3057,3621,3999,3388,3867,3705,4042,3856,3560,1799,2434,2957,3547,3274,3795,4097,3925,630,994,1491,2109,2696,3330,3830,3600,1049,1555,2179,2854,3472,2780,3414,3184,802,1208,1739,1344,1910,2557,3204,2642,567,886,1323,690,1067,1575,2198,2870,3485,3928,3054,699,38,72,132,234,399,652,1020,522,818,1229,1764,2397,3050,3615,3995,4132,2070,2734,517,811,1219,1751,2382,3036,3603,2419,452,719,1101,1615,2243,2915,3521,3950,4121,2043,2547,3194,3554,989,1482,2095,2768,3399,2265,347,568,888,1326,1885,2532,3183,3721,4052,2004,2663,3304,3421,3894,3727,4057,3866,3987,1989,2648,3291,3806,3288,3466,3919,3948,1180,1708,1930,2578,3223,3751,4068,3626,1096,1609,2236,2908,3514,3945,4151,3197,826,1240,1776,2407,3058,1835,2476,3124,3669,4021,3531,873,1306,1861,2505,3155,3695,4034,3079,731,56,106,191,328,537,843,1267,1814,2454,3105,3656,3792,4095,4192,4144,4135,2085,2753,595,931,1388,1963,2615,1540,2159,2832,3454,2675,577,902,1348,1915,2564,3212,3744,2057,2699,3333,3116,3664,4019,3931,987,1478,2088,2758,2599,540,846,1270,1817,2457,3108,3659,2026,2685,3323,2984,3568,3736,3557,3971,4089,4190,4191,2501,484,766,1163,1687,2317,1365,1936,1967,2619,3263,2826,3451,3645,1127,1643,2269,2936,3536,2358,402,655,1023,1523,2143,2820,3447,1878,2523,3173,2041,2705,3341,957,1429,2019,2679,3319,2194,210,363,596,933,1392,1970,2625,1755,2386,3040,3607,2723,3354,3843,3689,1152,1676,2307,1658,2283,2945,3538,3260,863,1293,1846,1603,2229,2901,3508,2692,593,927,1382,1012,1511,2130,2806,3434,2762,3392,3169,787,66,123,222,384,634,999,1497,563,879,1313,532,837,1260,1807,2447,3099,3652,3035,680,23,45,85,154,267,444,710,515,807,1214,1746,2377,1451,2048,2710,3344,3838,2896,454,723,1106,1619,2247,2919,3524,2405,441,704,1083,1594,2220,2893,3504,3940,4119,3974,2435,3084,3548,985,1474,2080,2746,3376,995,321,527,827,1242,1779,2411,3063,1556,2180,2855,3473,3922,3415,3889,3722,1209,1740,2370,1911,2559,3206,3738,3285,887,1324,1882,1068,1577,2201,2873,3488,3930,4148,3618,1078,73,134,237,403,657,1026,1526,819,82,148,257,430,692,1070,1580,2206,2735,3366,812,1221,1754,2385,3039,3606,2098,2772,720,52,98,176,302,497,785,1188,1717,2348,3006,3583,3779,1483,2097,2771,3402,2081,2747,569,890,1329,1888,2534,3185,3723,4054,4180,2664,3305,3816,3700,4037,4058,4181,4124,2053,2649,3292,3807,4103,3804,3920,4145,4153,1709,2339,2579,3224,3338,3591,3984,4001,1610,2237,2020,2680,3320,3826,4111,3732,1241,1777,2408,3059,3622,2477,3125,3295,3494,3934,3954,1307,1863,1953,2604,3249,3773,4082,3637,1116,107,193,331,541,848,1273,1821,2461,3112,3662,4018,4096,1862,2506,3156,3696,2754,3383,932,1390,1966,2618,3262,2160,2833,3096,3648,3316,903,1349,1916,1732,2361,3016,3587,2718,608,952,1421,2009,2670,3312,1479,2090,2761,3391,3245,847,1271,1818,1576,2199,2871,3486,2686,589,920,1372,1944,2596,3243,3770,4081,2731,3362,3151,767,1164,1688,1143,1665,1937,2588,2620,556,868,1299,1853,2497,1644,2270,2937,3537,3957,3013,656,1024,1257,1801,2437,3086,3640,2524,504,792,1195,1724,2354,1430,2021,2682,3322,3828,2866,364,598,937,1399,1980,2636,3279,2387,426,685,1060,1567,2190,2864,3482,1677,2308,2972,2284,2946,3539,977,1459,1294,1847,2490,2230,279,464,739,1128,928,1383,1957,1512,2131,2807,3435,3900,3393,3870,3709,1190,124,223,385,635,1000,1498,2116,880,97,174,299,493,780,1182,1711,2342,3001,3580,1055,46,87,158,274,455,725,1109,808,78,141,247,417,676,1051,1558,2183,2859,3477,724,1108,1622,2249,2921,3526,2096,2769,705,44,83,150,260,434,697,1076,1587,2213,2887,3500,3763,1475,2082,2749,3378,2075,1493,528,829,1245,1782,2414,3066,3627,2181,2856,3474,3923,3361,3680,4028,4053,1741,2371,2047,2560,3207,3739,4063,3801,1325,1883,2529,1578,2203,2876,3490,3335,3578,3979,3998,1589,135,239,406,661,1031,1532,2151,1230,149,258,431,693,1071,1581,2207,2881,3367,3853,1222,1756,1935,2585,3231,3758,2773,3403,1102,99,178,305,500,788,1191,1720,2351,3009,3585,3982,4086,1839,2481,3130,3674,2748,616,891,1330,1889,2535,3186,3724,4055,3083,3638,3306,3817,4109,4038,1707,2336,2993,3573,2714,604,946,1412,1997,2657,3300,3814,4108,2340,2998,3225,3752,3834,3985,1545,2166,2238,2909,2681,582,909,1356,1923,2571,1778,2409,3060,2704,3339,3126,3670,3810,1340,993,1489,1864,2509,2605,545,853,1279,1828,2468,1630,194,333,544,852,1278,1827,2467,1253,1794,2427,3077,3636,2507,489,773,1172,1698,2326,1391,1968,2621,3265,3786,2834,3455,3649,1132,1648,1350,1917,2565,2362,407,662,1032,1533,953,1422,2010,2110,2789,3424,2091,2763,3394,963,1438,1272,1819,2458,2200,216,375,619,972,921,105,189,325,533,838,1261,1808,2448,3100,3653,1165,1689,2318,1666,2294,2589,3236,3264,869,93,167,288,477,758,1154,1679,2310,2974,3563,1025,1524,1802,2438,3087,3641,4007,3174,793,71,130,231,395,647,1014,1514,2134,2811,3439,599,939,1403,212,367,603,945,1411,686,29,57,108,195,335,548,859,1289,1842,2486,3137,3682,1460,2058,1848,2491,3141,2902,465,741,1131,1647,1384,1958,2611,2132,2808,3436,3901,3359,3847,4117,4045,1719,224,386,636,1001,1499,2117,2794,1314,175,300,494,781,1183,1712,2343,3002,3581,3980,1562,88,160,278,462,736,1124,1640,1215,142)Polycyclic presentation:
5,4201|b^a=b^353845 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21005, 1);