/* www-ATLAS of Group Representations. G2(3):2 represented as permutations on 756 points. */ G:=PermutationGroup<756|\[ 2,1,7,8,9,10,3,4,5,6,19,20,21,22,23,24,25,26,11,12,13,14,15,16,17, 18,43,37,44,45,46,39,47,48,49,50,28,51,32,52,53,54,27,29,30,31,33,34,35,36, 38,40,41,42,66,79,80,81,82,83,84,85,86,87,88,55,89,90,78,91,92,93,94,95,96, 97,98,69,56,57,58,59,60,61,62,63,64,65,67,68,70,71,72,73,74,75,76,77,139,140, 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, 166,167,168,169,170,171,172,173,174,175,176,177,178,99,100,101,102,103,104,105,106,107,108,109,110, 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, 136,137,138,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250, 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, 276,277,278,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200, 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, 226,227,228,366,297,367,368,369,370,371,372,373,374,314,375,376,306,377,301,378,379,280,380,381,342, 294,382,383,384,385,292,353,386,387,388,317,389,390,289,391,392,311,393,394,395,396,397,398,337,346, 399,400,358,401,354,402,403,404,405,406,407,324,408,409,350,410,300,411,412,360,325,413,414,415,340, 416,417,307,330,418,419,420,328,421,345,422,423,424,425,426,279,281,282,283,284,285,286,287,288,290, 291,293,295,296,298,299,302,303,304,305,308,309,310,312,313,315,316,318,319,320,321,322,323,326,327, 329,331,332,333,334,335,336,338,339,341,343,344,347,348,349,351,352,355,356,357,359,361,362,363,364, 365,459,466,541,537,531,542,543,544,545,486,546,539,547,475,517,548,549,550,493,473,551,521,552,477, 479,553,554,555,556,557,558,559,427,560,561,562,563,564,565,428,566,529,567,568,569,504,446,488,440, 570,450,571,451,572,498,573,495,574,575,436,534,474,536,576,530,577,445,532,483,578,579,481,580,514, 513,581,582,472,583,584,585,586,587,588,589,590,501,500,591,592,441,593,594,595,448,596,597,598,599, 600,601,602,468,491,431,494,603,487,604,489,430,605,438,606,429,432,433,434,435,437,439,442,443,444, 447,449,452,453,454,455,456,457,458,460,461,462,463,464,465,467,469,470,471,476,478,480,482,484,485, 490,492,496,497,499,502,503,505,506,507,508,509,510,511,512,515,516,518,519,520,522,523,524,525,526, 527,528,533,535,538,540,611,655,656,642,607,615,633,657,612,622,637,658,659,660,661,616,662,663,664, 636,638,665,666,641,667,668,613,669,670,626,617,627,671,672,630,610,673,674,649,654,675,676,645,677, 678,679,680,646,608,609,614,618,619,620,621,623,624,625,628,629,631,632,634,635,639,640,643,644,647, 648,650,651,652,653,694,721,698,722,700,701,723,724,725,702,717,726,727,681,706,728,729,683,730,685, 686,690,731,712,720,695,732,733,719,734,735,704,736,737,738,739,691,740,709,705,682,684,687,688,689, 692,693,696,697,699,703,707,708,710,711,713,714,715,716,718,745,748,752,747,741,754,744,742,756,755, 753,743,751,746,750,749] ,\[ 3,4,1,5,6,2,11,12,13,14,9,15,7,16,17,18,8,10,27,28,29,30,31,32,33, 34,23,35,24,36,19,21,37,38,39,40,41,42,20,22,25,26,55,56,57,58,59,60,61,62, 63,64,65,66,50,49,67,51,68,69,44,43,46,70,71,72,73,74,75,76,77,78,45,47,48, 52,53,54,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,90,119, 89,120,121,92,93,91,122,123,81,79,86,84,85,124,125,126,127,128,129,130,131,132,133,134,135, 136,137,138,80,82,83,87,88,94,95,96,97,98,179,180,181,182,183,184,147,185,161,150,186,187, 169,188,171,189,190,191,192,193,194,195,196,197,198,199,200,201,176,148,164,202,166,203,204,205,206, 149,207,208,163,140,162,209,143,160,159,167,168,165,210,211,172,212,213,146,144,145,141,139,151,152, 153,214,156,173,215,216,217,218,219,220,221,222,223,224,225,226,227,228,142,154,155,157,158,170,174, 175,177,178,279,280,277,281,282,283,284,285,286,287,288,289,290,291,248,292,293,294,295,296,297,298, 299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,243,316,317,318,319,320,321,322, 323,262,324,263,325,326,327,261,260,246,237,259,328,329,330,331,265,266,236,267,268,249,264,251,332, 333,334,335,336,257,337,238,235,234,231,229,250,244,245,247,338,339,340,341,273,342,343,344,345,346, 347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,230,232,233,239,240, 241,242,252,253,254,255,256,258,269,270,271,272,274,275,276,278,427,428,429,430,431,432,433,434,435, 436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,377,453,454,455,456,457,458,459, 393,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483, 484,485,486,407,406,404,405,403,487,488,489,401,402,379,399,400,490,491,492,493,411,412,388,408,409, 410,494,495,496,497,498,499,380,381,378,373,371,372,370,369,389,390,391,386,387,500,501,502,503,504, 505,506,507,508,422,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528, 529,530,531,532,533,534,535,536,537,538,539,540,367,368,374,375,376,382,383,384,385,392,394,395,396, 397,398,413,414,415,416,417,418,419,420,421,423,424,425,426,606,554,557,607,578,596,545,588,608,609, 610,611,559,576,612,613,579,614,572,615,548,616,617,618,619,620,595,594,621,622,551,586,623,624,625, 626,571,627,628,629,630,598,599,631,632,553,603,633,605,634,635,636,637,585,584,546,638,562,563,639, 640,641,560,642,564,580,643,550,549,577,575,592,593,644,587,582,583,589,590,581,645,597,600,574,552, 542,547,543,541,566,567,568,561,565,646,555,556,570,573,647,648,604,649,650,651,652,653,654,544,558, 569,591,601,602,681,682,683,684,685,686,687,688,689,690,691,692,693,694,677,660,695,696,670,697,698, 699,675,700,701,702,703,704,657,665,674,673,705,706,707,676,658,666,668,667,708,709,659,669,664,710, 679,711,712,713,714,715,716,717,718,719,720,655,656,661,662,663,671,672,678,680,722,723,733,727,741, 742,737,743,744,736,724,745,721,738,746,734,731,730,747,748,749,732,750,735,726,729,751,752,753,754, 755,756,725,728,739,740] >; print "Group G is G2(3):2 < Sym(756)";