/*
www-ATLAS of Group Representations.
SL2(7) represented as permutations on 336 points.
*/

G<x,y>:=PermutationGroup<336|\[
22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,64,65,66,67,
68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,1,2,3,4,5,6,7,8,
9,10,11,12,13,14,15,16,17,18,19,20,21,43,44,45,46,47,48,49,50,51,52,53,54,
55,56,57,58,59,60,61,62,63,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,
185,186,187,188,189,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,
231,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,232,233,234,
235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,127,128,129,130,131,132,133,
134,135,136,137,138,139,140,141,142,143,144,145,146,147,85,86,87,88,89,90,91,92,93,94,95,
96,97,98,99,100,101,102,103,104,105,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,
163,164,165,166,167,168,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,
125,126,324,322,323,326,327,325,321,319,320,331,332,333,334,335,336,329,330,328,316,317,318,271,272,
273,260,261,259,254,255,253,258,256,257,270,268,269,262,263,264,265,266,267,282,280,281,284,285,283,
279,277,278,289,290,291,292,293,294,287,288,286,274,275,276,313,314,315,302,303,301,296,297,295,300,
298,299,312,310,311,304,305,306,307,308,309]
,\[
4,5,6,10,11,12,19,20,21,1,2,3,8,9,7,18,16,17,15,13,14,85,86,87,88,
89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,127,128,129,130,131,132,133,134,
135,136,137,138,139,140,141,142,143,144,145,146,147,67,68,69,73,74,75,82,83,84,64,65,66,
71,72,70,81,79,80,78,76,77,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,
122,123,124,125,126,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,
42,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,43,44,45,
46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,253,254,255,256,257,258,259,
260,261,262,263,264,265,266,267,268,269,270,271,272,273,295,296,297,298,299,300,301,302,303,304,305,
306,307,308,309,310,311,312,313,314,315,217,218,219,223,224,225,221,222,220,213,211,212,226,227,228,
214,215,216,230,231,229,238,239,240,244,245,246,242,243,241,234,232,233,247,248,249,235,236,237,251,
252,250,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,169,170,
171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,316,317,318,319,320,321,
322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,190,191,192,193,194,195,196,197,198,199,
200,201,202,203,204,205,206,207,208,209,210]
>;
print "Group G is SL2(7) < Sym(336)";