/*
www-ATLAS of Group Representations.
3.A7 represented as permutations on 315 points.
*/

G<x,y>:=PermutationGroup<315|\[
1,4,7,6,12,2,8,3,20,22,25,13,5,32,35,16,39,18,43,21,9,24,52,10,26,
11,55,59,51,64,67,34,47,14,36,15,77,71,40,17,83,85,44,19,90,81,72,95,23,98,
62,49,87,42,58,74,107,27,61,113,28,29,69,66,121,30,68,31,118,127,78,33,103,106,57,
37,76,38,88,124,93,70,84,41,54,48,104,138,151,91,45,96,46,159,86,156,163,100,166,50,
168,170,130,53,174,56,75,179,181,120,185,89,114,60,178,134,191,63,115,183,122,65,199,139,201,
203,82,155,209,73,211,213,109,190,146,177,141,79,80,200,219,222,102,224,154,217,136,150,229,228,
112,231,205,226,208,92,157,158,160,94,161,162,164,97,152,167,99,169,101,143,247,144,250,175,105,
252,147,119,180,108,133,256,110,239,186,111,197,254,263,116,192,117,244,194,189,123,261,267,196,221,
202,125,204,126,233,173,251,128,210,129,212,131,214,132,182,278,135,257,137,220,140,223,142,172,283,
145,218,148,230,149,165,225,153,245,280,291,216,271,259,295,276,236,285,265,270,299,248,171,300,206,
274,253,176,255,188,215,227,302,184,294,187,305,195,249,193,306,268,198,262,234,293,307,258,207,246,
289,308,237,272,286,287,303,232,312,298,235,301,282,241,290,242,266,238,296,297,260,240,243,275,264,
281,273,288,315,269,292,279,309,277,310,304,313,284,314,311]
,\[
2,5,1,10,9,14,16,18,3,23,4,28,30,33,6,38,7,42,8,46,48,50,27,53,54,
56,11,60,12,65,13,70,37,73,74,71,15,41,79,81,17,45,86,88,19,92,20,96,21,99,
22,102,55,24,25,105,26,109,111,63,115,91,29,119,69,123,83,34,31,76,32,128,129,131,35,
36,133,135,137,39,141,40,143,144,146,148,43,150,44,153,155,94,157,47,161,97,49,112,101,72,
51,171,52,172,108,176,177,57,182,58,165,59,117,187,189,61,62,193,195,64,197,125,200,66,67,
68,205,207,126,124,132,75,215,77,139,78,140,194,218,80,142,82,122,225,84,151,85,149,87,152,
227,89,232,90,113,234,191,93,100,209,202,95,167,103,98,240,241,242,244,180,164,249,104,186,251,
178,106,107,254,255,256,184,233,110,116,245,260,114,185,224,236,154,220,118,196,120,266,121,270,130,
145,238,265,271,273,127,159,213,276,277,248,199,267,268,216,134,250,136,279,138,281,210,206,179,201,
217,147,285,173,166,287,192,214,289,156,158,160,162,163,296,294,175,168,174,169,170,246,272,229,301,
243,302,300,264,247,303,181,183,230,262,304,188,283,190,212,269,274,258,198,203,211,204,223,275,208,
292,306,222,309,219,308,221,261,226,295,228,297,231,290,235,252,237,253,239,314,259,315,313,257,307,
284,298,299,305,263,278,312,311,310,280,282,293,291,286,288]
>;
print "Group G is 3.A7 < Sym(315)";