/*
www-ATLAS of Group Representations.
S6(2) represented as permutations on 336 points.
*/

G<x,y>:=PermutationGroup<336|\[
2,1,5,4,3,9,11,8,6,15,7,18,20,14,10,24,25,12,27,13,30,32,23,16,17,
26,19,38,40,21,43,22,46,34,49,51,53,28,56,29,58,42,31,62,64,33,47,67,35,70,
36,52,37,75,55,39,78,41,59,82,61,44,63,45,65,88,48,90,92,50,71,96,80,99,54,
102,104,57,79,73,109,60,111,84,114,115,117,66,89,68,122,69,93,125,95,72,129,98,74,133,
101,76,137,77,105,140,142,144,81,110,83,149,151,85,86,155,87,128,119,159,121,91,157,164,94,
126,166,118,97,170,172,173,100,176,178,148,103,180,145,106,183,107,143,108,139,187,189,136,112,150,
113,194,190,154,116,195,123,199,120,160,197,201,163,124,188,127,203,206,169,130,171,131,132,212,175,
134,177,135,217,138,181,182,141,193,222,186,146,165,147,153,191,227,184,152,156,196,161,231,158,233,
162,202,167,237,224,168,239,208,241,236,243,174,213,245,215,216,179,218,219,251,253,185,256,205,225,
259,192,262,229,230,198,232,200,267,263,210,204,255,207,240,209,242,211,275,214,246,279,280,282,250,
220,252,221,254,238,223,257,285,226,260,261,228,235,289,265,269,234,292,266,272,271,270,273,274,244,
276,284,278,247,248,281,249,283,277,258,286,290,288,264,287,291,268,293,294,315,296,297,316,299,300,
318,302,319,304,317,306,321,308,309,324,311,312,313,314,295,298,305,301,303,320,307,322,323,310,330,
329,331,328,326,325,327,332,333,334,335,336]
,\[
3,4,6,7,8,10,12,13,14,16,17,19,21,22,23,11,1,26,28,29,31,33,9,34,35,
36,37,39,41,42,44,45,47,48,50,52,54,55,2,57,59,60,61,63,65,66,15,68,69,71,
72,73,74,76,27,77,79,80,81,83,84,85,5,86,87,20,89,91,93,94,95,97,98,100,101,
103,105,106,107,108,46,110,112,113,70,116,118,119,120,121,123,124,88,126,127,128,130,131,132,134,
135,136,38,138,139,141,143,145,146,147,148,150,152,153,154,82,156,157,158,160,161,162,163,165,166,
115,167,168,169,171,18,174,175,177,151,51,179,172,181,182,75,184,185,186,117,188,190,191,192,193,
78,195,187,62,196,197,198,200,109,125,194,202,24,203,204,205,25,207,208,209,102,210,211,149,213,
214,215,216,218,219,140,56,220,221,223,155,224,225,92,64,226,228,30,129,229,230,58,32,232,49,
234,235,236,173,67,238,240,90,133,242,189,137,244,246,247,248,249,250,237,252,254,255,40,257,258,
260,261,263,43,264,265,266,104,268,251,269,270,271,222,267,272,273,274,276,277,278,53,281,283,284,
285,286,280,287,199,253,288,289,290,291,292,293,99,294,164,295,296,259,297,298,299,300,233,180,301,
170,302,245,217,303,304,305,306,307,308,309,310,311,159,312,313,314,282,144,239,96,231,243,317,316,
206,176,320,321,322,323,212,122,324,325,114,318,111,319,256,326,275,201,327,328,329,330,331,332,142,
333,334,315,178,335,279,183,336,227,262,241]
>;
print "Group G is S6(2) < Sym(336)";