/*
www-ATLAS of Group Representations.
2.L2(7).2i represented as permutations on 336 points.
*/

G<x,y>:=PermutationGroup<336|\[
1,4,5,2,3,10,11,12,13,6,7,8,9,22,23,24,25,26,27,28,29,14,15,16,17,
18,19,20,21,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,30,31,32,33,34,
35,36,37,38,39,40,41,42,43,44,45,94,95,96,97,98,99,100,101,102,103,104,105,106,107,
108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,62,63,64,65,66,67,68,
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,
190,136,191,163,192,193,176,194,195,196,127,197,198,183,199,148,200,201,202,150,158,203,141,204,145,
205,186,206,207,208,209,169,146,210,211,212,213,129,214,170,215,174,216,157,165,217,218,219,167,220,
132,221,222,188,223,224,225,139,226,227,152,228,179,229,126,128,130,131,133,134,135,137,138,140,142,
143,144,147,149,151,153,154,155,156,159,160,161,162,164,166,168,171,172,173,175,177,178,180,181,182,
184,185,187,189,274,269,275,271,276,277,278,273,279,280,281,251,242,282,283,245,284,285,286,255,287,
241,261,288,289,249,290,291,292,263,293,252,294,259,295,265,296,267,297,231,298,233,299,237,230,232,
234,235,236,238,239,240,243,244,246,247,248,250,253,254,256,257,258,260,262,264,266,268,270,272,300,
313,314,315,316,317,318,319,320,321,322,323,324,301,302,303,304,305,306,307,308,309,310,311,312,327,
331,325,332,333,334,326,328,329,330,336,335]
,\[
2,3,1,6,8,7,4,9,5,14,16,18,20,15,10,17,11,19,12,21,13,30,32,34,36,
38,40,42,44,31,22,33,23,35,24,37,25,39,26,41,27,43,28,45,29,62,64,66,68,70,
72,74,76,78,80,82,84,86,88,90,92,63,46,65,47,67,48,69,49,71,50,73,51,75,52,
77,53,79,54,81,55,83,56,85,57,87,58,89,59,91,60,93,61,126,128,130,132,134,136,138,
140,142,144,146,148,150,152,154,156,158,160,162,164,166,168,170,172,174,176,178,180,182,184,186,188,
127,94,129,95,131,96,133,97,135,98,137,99,139,100,141,101,143,102,145,103,147,104,149,105,151,
106,153,107,155,108,157,109,159,110,161,111,163,112,165,113,167,114,169,115,171,116,173,117,175,118,
177,119,179,120,181,121,183,122,185,123,187,124,189,125,230,231,233,210,236,237,239,219,221,242,222,
245,247,248,249,214,252,254,255,226,235,258,202,260,251,262,190,207,264,240,266,241,244,194,268,196,
257,270,272,203,216,232,191,234,192,193,223,238,195,225,197,198,243,199,200,246,201,212,229,250,204,
205,253,206,217,256,208,209,259,211,261,213,263,215,265,218,267,220,269,224,271,227,273,228,300,283,
302,287,295,296,306,299,297,301,280,309,274,303,310,276,311,312,288,290,291,304,305,308,285,307,286,
275,289,277,278,279,284,281,282,298,292,293,294,319,326,324,322,314,329,325,330,320,328,318,327,313,
317,315,316,323,321,335,336,332,331,334,333]
>;
print "Group G is 2.L2(7).2i < Sym(336)";