/* www-ATLAS of Group Representations. A15 represented as permutations on 1365 points. */ G:=PermutationGroup<1365|\[ 1,2,3,4,5,6,7,8,9,10,11,12,365,366,367,368,369,370,371,372,373,374,375,376,377, 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, 428,429,430,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34, 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, 60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,431,432,433,434,435,436, 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, 637,638,639,640,641,642,643,644,645,646,647,648,649,650,79,80,81,82,83,84,85,86,87,88,89, 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, 140,141,142,143,144,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670, 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, 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, 345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,871,872,873,874,875, 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] ,\[ 13,14,15,16,17,18,19,20,21,22,23,1,24,25,26,27,28,29,30,31,32,33,2,34,35, 36,37,38,39,40,41,42,3,43,44,45,46,47,48,49,50,4,51,52,53,54,55,56,57,5, 58,59,60,61,62,63,6,64,65,66,67,68,7,69,70,71,72,8,73,74,75,9,76,77,10, 78,11,12,145,146,147,148,149,150,151,152,153,154,79,155,156,157,158,159,160,161,162,163,80,164, 165,166,167,168,169,170,171,81,172,173,174,175,176,177,178,82,179,180,181,182,183,184,83,185,186, 187,188,189,84,190,191,192,193,85,194,195,196,86,197,198,87,199,88,89,200,201,202,203,204,205, 206,207,208,90,209,210,211,212,213,214,215,216,91,217,218,219,220,221,222,223,92,224,225,226,227, 228,229,93,230,231,232,233,234,94,235,236,237,238,95,239,240,241,96,242,243,97,244,98,99,245, 246,247,248,249,250,251,252,100,253,254,255,256,257,258,259,101,260,261,262,263,264,265,102,266,267, 268,269,270,103,271,272,273,274,104,275,276,277,105,278,279,106,280,107,108,281,282,283,284,285,286, 287,109,288,289,290,291,292,293,110,294,295,296,297,298,111,299,300,301,302,112,303,304,305,113,306, 307,114,308,115,116,309,310,311,312,313,314,117,315,316,317,318,319,118,320,321,322,323,119,324,325, 326,120,327,328,121,329,122,123,330,331,332,333,334,124,335,336,337,338,125,339,340,341,126,342,343, 127,344,128,129,345,346,347,348,130,349,350,351,131,352,353,132,354,133,134,355,356,357,135,358,359, 136,360,137,138,361,362,139,363,140,141,364,142,143,144,431,432,433,434,435,436,437,438,439,440,365, 441,442,443,444,445,446,447,448,449,366,450,451,452,453,454,455,456,457,367,458,459,460,461,462,463, 464,368,465,466,467,468,469,470,369,471,472,473,474,475,370,476,477,478,479,371,480,481,482,372,483, 484,373,485,374,375,486,487,488,489,490,491,492,493,494,376,495,496,497,498,499,500,501,502,377,503, 504,505,506,507,508,509,378,510,511,512,513,514,515,379,516,517,518,519,520,380,521,522,523,524,381, 525,526,527,382,528,529,383,530,384,385,531,532,533,534,535,536,537,538,386,539,540,541,542,543,544, 545,387,546,547,548,549,550,551,388,552,553,554,555,556,389,557,558,559,560,390,561,562,563,391,564, 565,392,566,393,394,567,568,569,570,571,572,573,395,574,575,576,577,578,579,396,580,581,582,583,584, 397,585,586,587,588,398,589,590,591,399,592,593,400,594,401,402,595,596,597,598,599,600,403,601,602, 603,604,605,404,606,607,608,609,405,610,611,612,406,613,614,407,615,408,409,616,617,618,619,620,410, 621,622,623,624,411,625,626,627,412,628,629,413,630,414,415,631,632,633,634,416,635,636,637,417,638, 639,418,640,419,420,641,642,643,421,644,645,422,646,423,424,647,648,425,649,426,427,650,428,429,430, 871,872,873,874,875,876,877,878,879,651,880,881,882,883,884,885,886,887,652,888,889,890,891,892,893, 894,653,895,896,897,898,899,900,654,901,902,903,904,905,655,906,907,908,909,656,910,911,912,657,913, 914,658,915,659,660,916,917,918,919,920,921,922,923,661,924,925,926,927,928,929,930,662,931,932,933, 934,935,936,663,937,938,939,940,941,664,942,943,944,945,665,946,947,948,666,949,950,667,951,668,669, 952,953,954,955,956,957,958,670,959,960,961,962,963,964,671,965,966,967,968,969,672,970,971,972,973, 673,974,975,976,674,977,978,675,979,676,677,980,981,982,983,984,985,678,986,987,988,989,990,679,991, 992,993,994,680,995,996,997,681,998,999,682,1000,683,684,1001,1002,1003,1004,1005,685,1006,1007,1008,1009,686, 1010,1011,1012,687,1013,1014,688,1015,689,690,1016,1017,1018,1019,691,1020,1021,1022,692,1023,1024,693,1025,694,695, 1026,1027,1028,696,1029,1030,697,1031,698,699,1032,1033,700,1034,701,702,1035,703,704,705,1036,1037,1038,1039,1040, 1041,1042,1043,706,1044,1045,1046,1047,1048,1049,1050,707,1051,1052,1053,1054,1055,1056,708,1057,1058,1059,1060,1061,709, 1062,1063,1064,1065,710,1066,1067,1068,711,1069,1070,712,1071,713,714,1072,1073,1074,1075,1076,1077,1078,715,1079,1080, 1081,1082,1083,1084,716,1085,1086,1087,1088,1089,717,1090,1091,1092,1093,718,1094,1095,1096,719,1097,1098,720,1099,721, 722,1100,1101,1102,1103,1104,1105,723,1106,1107,1108,1109,1110,724,1111,1112,1113,1114,725,1115,1116,1117,726,1118,1119, 727,1120,728,729,1121,1122,1123,1124,1125,730,1126,1127,1128,1129,731,1130,1131,1132,732,1133,1134,733,1135,734,735, 1136,1137,1138,1139,736,1140,1141,1142,737,1143,1144,738,1145,739,740,1146,1147,1148,741,1149,1150,742,1151,743,744, 1152,1153,745,1154,746,747,1155,748,749,750,1156,1157,1158,1159,1160,1161,1162,751,1163,1164,1165,1166,1167,1168,752, 1169,1170,1171,1172,1173,753,1174,1175,1176,1177,754,1178,1179,1180,755,1181,1182,756,1183,757,758,1184,1185,1186,1187, 1188,1189,759,1190,1191,1192,1193,1194,760,1195,1196,1197,1198,761,1199,1200,1201,762,1202,1203,763,1204,764,765,1205, 1206,1207,1208,1209,766,1210,1211,1212,1213,767,1214,1215,1216,768,1217,1218,769,1219,770,771,1220,1221,1222,1223,772, 1224,1225,1226,773,1227,1228,774,1229,775,776,1230,1231,1232,777,1233,1234,778,1235,779,780,1236,1237,781,1238,782, 783,1239,784,785,786,1240,1241,1242,1243,1244,1245,787,1246,1247,1248,1249,1250,788,1251,1252,1253,1254,789,1255,1256, 1257,790,1258,1259,791,1260,792,793,1261,1262,1263,1264,1265,794,1266,1267,1268,1269,795,1270,1271,1272,796,1273,1274, 797,1275,798,799,1276,1277,1278,1279,800,1280,1281,1282,801,1283,1284,802,1285,803,804,1286,1287,1288,805,1289,1290, 806,1291,807,808,1292,1293,809,1294,810,811,1295,812,813,814,1296,1297,1298,1299,1300,815,1301,1302,1303,1304,816, 1305,1306,1307,817,1308,1309,818,1310,819,820,1311,1312,1313,1314,821,1315,1316,1317,822,1318,1319,823,1320,824,825, 1321,1322,1323,826,1324,1325,827,1326,828,829,1327,1328,830,1329,831,832,1330,833,834,835,1331,1332,1333,1334,836, 1335,1336,1337,837,1338,1339,838,1340,839,840,1341,1342,1343,841,1344,1345,842,1346,843,844,1347,1348,845,1349,846, 847,1350,848,849,850,1351,1352,1353,851,1354,1355,852,1356,853,854,1357,1358,855,1359,856,857,1360,858,859,860, 1361,1362,861,1363,862,863,1364,864,865,866,1365,867,868,869,870] >; print "Group G is A15 < Sym(1365)";