/* www-ATLAS of Group Representations. L2(49) represented as permutations on 1225 points. */ G:=PermutationGroup<1225|\[ 1,4,3,2,7,8,5,6,13,14,15,16,9,10,11,12,25,26,27,28,29,30,31,32,17, 18,19,20,21,22,23,24,46,47,48,49,50,51,52,53,54,55,56,57,58,33,34,35,36,37, 38,39,40,41,42,43,44,45,85,86,87,88,75,89,90,91,92,80,93,94,95,96,97,98,63, 99,100,101,102,68,103,104,105,106,59,60,61,62,64,65,66,67,69,70,71,72,73,74,76,77, 78,79,81,82,83,84,151,152,153,154,155,156,157,158,159,116,160,161,119,162,163,164,165,166,167, 168,169,170,171,172,173,174,175,176,177,178,179,138,180,181,141,182,183,184,185,186,187,188,189,190, 107,108,109,110,111,112,113,114,115,117,118,120,121,122,123,124,125,126,127,128,129,130,131,132,133, 134,135,136,137,139,140,142,143,144,145,146,147,148,149,150,259,260,209,261,262,196,252,263,264,265, 266,267,268,269,270,271,272,242,193,273,274,275,276,277,278,279,280,281,233,282,283,284,285,286,287, 288,289,290,291,292,293,294,219,295,296,297,298,299,300,301,256,208,302,303,304,305,306,307,308,309, 310,197,253,311,312,241,313,314,191,192,194,195,198,199,200,201,202,203,204,205,206,207,210,211,212, 213,214,215,216,217,218,220,221,222,223,224,225,226,227,228,229,230,231,232,234,235,236,237,238,239, 240,243,244,245,246,247,248,249,250,251,254,255,257,258,415,416,417,418,328,419,420,395,421,422,423, 326,424,319,425,426,427,428,429,430,431,432,433,408,434,435,341,436,437,438,439,440,441,442,443,444, 445,446,447,448,373,449,450,358,451,452,377,453,454,455,381,456,457,458,459,460,461,462,355,463,464, 465,361,466,467,468,365,469,470,471,472,473,474,475,476,477,478,479,480,481,322,482,483,484,485,486, 487,488,489,410,490,406,491,338,492,404,493,494,495,496,315,316,317,318,320,321,323,324,325,327,329, 330,331,332,333,334,335,336,337,339,340,342,343,344,345,346,347,348,349,350,351,352,353,354,356,357, 359,360,362,363,364,366,367,368,369,370,371,372,374,375,376,378,379,380,382,383,384,385,386,387,388, 389,390,391,392,393,394,396,397,398,399,400,401,402,403,405,407,409,411,412,413,414,640,641,615,642, 643,587,644,597,645,519,646,550,647,648,649,650,584,651,581,652,539,653,506,654,634,522,613,655,656, 657,658,659,660,569,553,661,541,662,663,664,623,665,517,545,533,556,608,666,540,610,667,668,669,508, 670,582,531,671,672,542,673,674,675,676,677,678,679,680,681,682,683,684,530,685,686,631,687,604,688, 629,689,625,690,691,515,552,692,513,693,694,502,695,696,697,698,699,700,701,702,596,504,703,704,609, 705,706,617,574,707,632,708,543,600,546,627,709,523,710,499,711,603,712,713,714,715,716,537,717,578, 718,611,719,576,720,572,606,721,521,722,723,724,725,726,497,498,500,501,503,505,507,509,510,511,512, 514,516,518,520,524,525,526,527,528,529,532,534,535,536,538,544,547,548,549,551,554,555,557,558,559, 560,561,562,563,564,565,566,567,568,570,571,573,575,577,579,580,583,585,586,588,589,590,591,592,593, 594,595,598,599,601,602,605,607,612,614,616,618,619,620,621,622,624,626,628,630,633,635,636,637,638, 639,865,866,867,868,869,870,871,872,848,873,874,813,803,875,876,812,802,877,878,879,880,855,881,780, 882,883,884,783,860,885,886,887,888,889,890,762,891,892,893,894,895,896,897,898,806,899,900,901,902, 779,903,904,776,750,819,905,754,906,907,908,909,910,911,912,913,914,915,916,917,830,918,919,920,921, 922,743,739,923,924,771,925,926,927,928,929,742,738,930,931,932,933,934,781,935,936,937,938,939,940, 941,942,849,943,796,853,835,944,945,832,946,947,948,949,950,951,842,952,953,954,955,956,735,828,957, 958,959,831,960,748,961,962,963,964,755,965,966,967,968,727,728,729,730,731,732,733,734,736,737,740, 741,744,745,746,747,749,751,752,753,756,757,758,759,760,761,763,764,765,766,767,768,769,770,772,773, 774,775,777,778,782,784,785,786,787,788,789,790,791,792,793,794,795,797,798,799,800,801,804,805,807, 808,809,810,811,814,815,816,817,818,820,821,822,823,824,825,826,827,829,833,834,836,837,838,839,840, 841,843,844,845,846,847,850,851,852,854,856,857,858,859,861,862,863,864,1086,975,1087,1088,1089,1090,970, 985,1091,1046,1092,1076,1093,989,1023,1061,976,1094,1095,1096,982,1097,1098,1003,1074,1059,1099,1017,1069,1100,1101,1019, 1031,1102,992,1103,1066,1104,1105,1106,1107,1108,1109,1110,1111,1038,1112,1035,996,1113,1000,1114,1028,1115,983,1116,1075, 1117,1032,1021,1118,1119,1001,1027,1120,1121,1016,1122,1037,1014,1123,1043,1124,1125,1040,1126,1071,978,1127,1064,1049,1128, 1062,1129,1130,1131,1132,1057,1056,1133,994,1134,984,1051,1085,1048,1135,1005,1136,1137,997,1138,1045,1139,1140,993,1025, 980,1141,1142,1143,1144,1145,1084,1146,1082,1063,969,971,972,973,974,977,979,981,986,987,988,990,991,995,998, 999,1002,1004,1006,1007,1008,1009,1010,1011,1012,1013,1015,1018,1020,1022,1024,1026,1029,1030,1033,1034,1036,1039,1041,1042, 1044,1047,1050,1052,1053,1054,1055,1058,1060,1065,1067,1068,1070,1072,1073,1077,1078,1079,1080,1081,1083,1193,1188,1194,1170, 1151,1152,1195,1196,1186,1197,1198,1177,1199,1200,1201,1202,1203,1190,1165,1166,1204,1176,1192,1150,1205,1178,1206,1207,1175, 1168,1158,1172,1184,1208,1185,1209,1210,1179,1181,1155,1187,1148,1211,1164,1212,1169,1147,1149,1153,1154,1156,1157,1159,1160, 1161,1162,1163,1167,1171,1173,1174,1180,1182,1183,1189,1191,1222,1223,1221,1218,1220,1216,1224,1217,1215,1213,1214,1219,1225] ,\[ 2,3,1,5,6,4,9,11,10,7,12,8,17,19,21,23,18,13,20,14,22,15,24,16,33, 35,37,29,39,40,42,44,34,25,36,26,38,27,28,41,30,43,31,45,32,59,61,63,65,67, 69,71,73,75,77,79,81,83,60,46,62,47,64,48,66,49,68,50,70,51,72,52,74,53,76, 54,78,55,80,56,82,57,84,58,107,109,111,113,115,117,119,121,123,125,127,129,131,133,135,137, 139,141,143,145,147,149,108,85,110,86,112,87,114,88,116,89,118,90,120,91,122,92,124,93,126, 94,128,95,130,96,132,97,134,98,136,99,138,100,140,101,142,102,144,103,146,104,148,105,150,106, 191,193,195,197,199,200,202,204,206,208,210,211,178,214,216,218,220,221,223,225,227,229,231,161,233, 235,237,213,239,167,241,243,245,247,249,155,251,253,255,257,192,151,194,152,196,153,198,154,186,201, 156,203,157,205,158,207,159,209,160,174,212,162,163,215,164,217,165,219,166,180,222,168,224,169,226, 170,228,171,230,172,232,173,234,175,236,176,238,177,240,179,242,181,244,182,246,183,248,184,250,185, 252,187,254,188,256,189,258,190,315,317,319,321,322,324,326,328,330,332,333,335,337,339,341,343,345, 347,349,351,353,268,355,357,359,361,363,365,367,262,369,370,372,374,376,378,380,382,383,385,387,389, 391,393,395,397,399,296,401,403,405,407,289,409,411,413,316,259,318,260,320,261,288,323,263,325,264, 327,265,329,266,331,267,280,334,269,336,270,338,271,340,272,342,273,344,274,346,275,348,276,350,277, 352,278,354,279,356,281,358,282,360,283,362,284,364,285,366,286,368,287,311,371,290,373,291,375,292, 377,293,379,294,381,295,306,384,297,386,298,388,299,390,300,392,301,394,302,396,303,398,304,400,305, 402,307,404,308,406,309,408,310,410,312,412,313,414,314,497,499,500,482,503,505,507,509,511,513,515, 517,519,521,523,525,484,528,493,531,533,535,537,539,541,542,544,546,548,549,551,553,555,557,559,561, 563,565,567,569,571,573,575,576,578,580,443,582,584,586,588,590,592,594,596,598,600,602,604,606,457, 608,416,610,612,614,616,502,618,527,620,622,624,626,628,630,632,634,530,636,439,638,498,415,477,501, 417,418,504,419,506,420,508,421,510,422,512,423,514,424,516,425,518,426,520,427,522,428,524,429,526, 430,431,529,432,433,532,434,534,435,536,436,538,437,540,438,495,543,440,545,441,547,442,461,550,444, 552,445,554,446,556,447,558,448,560,449,562,450,564,451,566,452,568,453,570,454,572,455,574,456,475, 577,458,579,459,581,460,583,462,585,463,587,464,589,465,591,466,593,467,595,468,597,469,599,470,601, 471,603,472,605,473,607,474,609,476,611,478,613,479,615,480,617,481,619,483,621,485,623,486,625,487, 627,488,629,489,631,490,633,491,635,492,637,494,639,496,727,729,730,731,660,734,735,737,739,741,743, 745,747,749,751,753,755,642,757,678,733,760,762,713,765,767,769,697,771,773,775,777,779,781,783,785, 786,788,759,790,792,794,666,795,797,799,801,803,805,807,675,809,811,813,815,817,819,770,681,821,823, 825,645,827,829,831,833,835,837,839,841,843,722,764,846,847,849,851,853,855,857,859,845,861,714,641, 863,728,640,725,657,732,643,644,702,736,646,738,647,740,648,742,649,744,650,746,651,748,652,750,653, 752,654,754,655,756,656,758,658,659,761,661,763,662,663,766,664,768,665,682,667,772,668,774,669,776, 670,778,671,780,672,782,673,784,674,690,787,676,789,677,791,679,793,680,698,796,683,798,684,800,685, 802,686,804,687,806,688,808,689,810,691,812,692,814,693,816,694,818,695,820,696,822,699,824,700,826, 701,828,703,830,704,832,705,834,706,836,707,838,708,840,709,842,710,844,711,712,724,848,715,850,716, 852,717,854,718,856,719,858,720,860,721,862,723,864,726,969,874,971,973,975,976,978,980,964,918,886, 938,967,983,953,985,987,959,990,878,992,913,876,994,962,920,997,999,1001,1002,893,1004,1006,1008,1010,1012, 1013,869,936,1016,1018,1020,1022,1024,932,1025,950,1028,875,908,945,1031,1033,866,1035,940,1037,1039,1040,1041,1043, 1044,1046,923,925,922,1048,952,1050,877,1052,1015,1054,887,1055,890,937,1057,1059,1061,1030,1063,1064,900,1066,1027, 1068,909,984,1070,1072,1074,1076,1077,989,1079,1081,996,957,982,1083,946,934,1085,970,865,972,867,974,868,902, 977,870,979,871,981,872,873,884,879,986,880,988,881,882,991,883,993,885,995,888,889,998,891,1000,892, 895,1003,894,1005,896,1007,897,1009,898,1011,899,948,1014,901,903,1017,904,1019,905,1021,906,1023,907,914,1026, 910,911,1029,912,915,1032,916,1034,917,1036,919,1038,921,930,928,1042,924,929,1045,926,1047,927,1049,931,1051, 933,1053,935,941,1056,939,1058,942,1060,943,1062,944,966,1065,947,1067,949,1069,951,1071,954,1073,955,1075,956, 963,1078,958,1080,960,1082,961,1084,965,1086,968,1103,1138,1147,1148,1150,1087,1151,1152,1153,1116,1155,1108,1095,1158, 1159,1109,1092,1129,1162,1089,1163,1157,1160,1110,1164,1166,1134,1169,1094,1154,1171,1172,1174,1176,1107,1128,1178,1117,1141, 1091,1181,1177,1161,1120,1143,1183,1185,1168,1187,1088,1100,1136,1189,1105,1180,1191,1182,1101,1093,1127,1106,1149,1090,1126, 1145,1115,1099,1096,1156,1097,1098,1137,1144,1102,1104,1140,1121,1165,1111,1167,1112,1113,1170,1114,1124,1173,1118,1175,1119, 1130,1122,1179,1123,1125,1146,1131,1184,1132,1186,1133,1188,1135,1190,1139,1192,1142,1213,1195,1215,1208,1210,1209,1211,1217, 1197,1219,1206,1198,1221,1212,1196,1207,1204,1201,1216,1203,1214,1193,1194,1199,1218,1200,1220,1202,1222,1205,1224,1225,1223] >; print "Group G is L2(49) < Sym(1225)";