/*
www-ATLAS of Group Representations.
A19 represented as permutations on 969 points.
*/

G<x,y>:=PermutationGroup<969|\[
1,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,2,3,4,5,6,7,8,9,
10,11,12,13,14,15,16,17,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,
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,
287,288,289,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,290,291,292,293,294,295,
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,
346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,
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,
396,397,398,399,400,401,402,403,404,405,406,407,408,409,34,35,36,37,38,39,40,41,42,43,44,
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,
70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
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,
145,146,147,148,149,150,151,152,153,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,
426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,
451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,
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,
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,
851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,
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]
,\[
2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,1,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,18,49,50,51,52,53,54,55,56,57,58,59,60,61,62,19,63,64,
65,66,67,68,69,70,71,72,73,74,75,20,76,77,78,79,80,81,82,83,84,85,86,87,21,
88,89,90,91,92,93,94,95,96,97,98,22,99,100,101,102,103,104,105,106,107,108,23,109,110,
111,112,113,114,115,116,117,24,118,119,120,121,122,123,124,125,25,126,127,128,129,130,131,132,26,
133,134,135,136,137,138,27,139,140,141,142,143,28,144,145,146,147,29,148,149,150,30,151,152,31,
153,32,33,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,154,185,186,187,188,189,190,
191,192,193,194,195,196,197,198,155,199,200,201,202,203,204,205,206,207,208,209,210,211,156,212,213,
214,215,216,217,218,219,220,221,222,223,157,224,225,226,227,228,229,230,231,232,233,234,158,235,236,
237,238,239,240,241,242,243,244,159,245,246,247,248,249,250,251,252,253,160,254,255,256,257,258,259,
260,261,161,262,263,264,265,266,267,268,162,269,270,271,272,273,274,163,275,276,277,278,279,164,280,
281,282,283,165,284,285,286,166,287,288,167,289,168,169,410,411,412,413,414,415,416,417,418,419,420,
421,422,423,290,424,425,426,427,428,429,430,431,432,433,434,435,436,291,437,438,439,440,441,442,443,
444,445,446,447,448,292,449,450,451,452,453,454,455,456,457,458,459,293,460,461,462,463,464,465,466,
467,468,469,294,470,471,472,473,474,475,476,477,478,295,479,480,481,482,483,484,485,486,296,487,488,
489,490,491,492,493,297,494,495,496,497,498,499,298,500,501,502,503,504,299,505,506,507,508,300,509,
510,511,301,512,513,302,514,303,304,515,516,517,518,519,520,521,522,523,524,525,526,527,305,528,529,
530,531,532,533,534,535,536,537,538,539,306,540,541,542,543,544,545,546,547,548,549,550,307,551,552,
553,554,555,556,557,558,559,560,308,561,562,563,564,565,566,567,568,569,309,570,571,572,573,574,575,
576,577,310,578,579,580,581,582,583,584,311,585,586,587,588,589,590,312,591,592,593,594,595,313,596,
597,598,599,314,600,601,602,315,603,604,316,605,317,318,606,607,608,609,610,611,612,613,614,615,616,
617,319,618,619,620,621,622,623,624,625,626,627,628,320,629,630,631,632,633,634,635,636,637,638,321,
639,640,641,642,643,644,645,646,647,322,648,649,650,651,652,653,654,655,323,656,657,658,659,660,661,
662,324,663,664,665,666,667,668,325,669,670,671,672,673,326,674,675,676,677,327,678,679,680,328,681,
682,329,683,330,331,684,685,686,687,688,689,690,691,692,693,694,332,695,696,697,698,699,700,701,702,
703,704,333,705,706,707,708,709,710,711,712,713,334,714,715,716,717,718,719,720,721,335,722,723,724,
725,726,727,728,336,729,730,731,732,733,734,337,735,736,737,738,739,338,740,741,742,743,339,744,745,
746,340,747,748,341,749,342,343,750,751,752,753,754,755,756,757,758,759,344,760,761,762,763,764,765,
766,767,768,345,769,770,771,772,773,774,775,776,346,777,778,779,780,781,782,783,347,784,785,786,787,
788,789,348,790,791,792,793,794,349,795,796,797,798,350,799,800,801,351,802,803,352,804,353,354,805,
806,807,808,809,810,811,812,813,355,814,815,816,817,818,819,820,821,356,822,823,824,825,826,827,828,
357,829,830,831,832,833,834,358,835,836,837,838,839,359,840,841,842,843,360,844,845,846,361,847,848,
362,849,363,364,850,851,852,853,854,855,856,857,365,858,859,860,861,862,863,864,366,865,866,867,868,
869,870,367,871,872,873,874,875,368,876,877,878,879,369,880,881,882,370,883,884,371,885,372,373,886,
887,888,889,890,891,892,374,893,894,895,896,897,898,375,899,900,901,902,903,376,904,905,906,907,377,
908,909,910,378,911,912,379,913,380,381,914,915,916,917,918,919,382,920,921,922,923,924,383,925,926,
927,928,384,929,930,931,385,932,933,386,934,387,388,935,936,937,938,939,389,940,941,942,943,390,944,
945,946,391,947,948,392,949,393,394,950,951,952,953,395,954,955,956,396,957,958,397,959,398,399,960,
961,962,400,963,964,401,965,402,403,966,967,404,968,405,406,969,407,408,409]
>;
print "Group G is A19 < Sym(969)";