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