/*
www-ATLAS of Group Representations.
S6(2) represented as permutations on 378 points.
*/

G<x,y>:=PermutationGroup<378|\[
1,4,6,2,5,3,7,12,14,15,17,8,20,9,10,25,11,28,19,13,21,32,34,36,16,
40,42,18,29,46,48,22,33,23,49,24,37,54,59,26,58,27,43,66,68,30,72,31,35,64,
77,52,53,38,81,82,84,41,39,89,61,92,93,50,65,44,67,45,69,101,71,47,73,98,75,
76,51,109,111,113,55,56,83,57,85,86,87,121,60,90,124,62,63,128,95,96,97,74,133,135,
70,102,120,139,141,142,143,144,78,148,79,150,80,137,115,152,154,118,119,103,88,122,158,91,162,
126,163,94,166,167,168,151,99,172,100,176,114,178,104,140,105,106,107,108,185,187,147,110,181,112,
132,116,184,117,173,197,191,123,159,200,180,125,127,204,165,129,130,131,209,210,171,134,155,212,188,
136,177,138,179,161,149,182,220,153,145,186,146,175,189,190,157,192,229,231,205,232,156,198,199,160,
238,202,241,164,195,206,207,208,169,170,211,174,213,214,215,249,252,254,256,183,221,246,261,224,259,
260,227,267,193,230,194,196,272,234,276,277,237,201,239,283,203,286,247,244,288,222,243,248,216,250,
251,217,298,218,299,219,301,258,225,226,223,307,309,264,294,312,228,314,300,316,271,233,273,274,275,
235,236,278,323,325,296,282,240,329,285,242,332,245,335,320,291,292,321,265,295,281,297,253,255,269,
257,302,318,304,305,306,262,311,263,351,308,266,313,268,315,270,317,303,319,290,293,333,279,358,280,
326,327,328,284,330,331,287,322,334,289,336,337,338,339,340,341,365,366,344,345,347,346,348,349,350,
310,352,353,354,355,363,357,324,359,360,361,362,356,364,342,343,367,368,369,370,371,372,373,374,375,
376,377,378]
,\[
2,5,1,8,9,4,3,13,11,6,7,18,21,22,19,10,26,29,12,30,16,33,14,15,38,
41,17,44,37,47,20,50,52,53,23,56,24,58,25,48,62,63,27,67,28,70,73,74,31,76,
32,55,79,34,35,83,36,86,87,39,40,65,94,42,43,84,97,98,45,102,46,104,75,106,49,
107,93,51,112,54,115,116,117,118,57,90,120,59,105,60,61,81,127,129,64,66,100,132,68,69,
121,137,71,140,72,125,110,77,146,78,149,114,82,80,152,153,119,155,85,156,157,88,89,160,91,
92,164,165,130,95,96,170,126,99,174,101,138,103,158,159,180,122,182,183,108,111,109,189,191,192,
113,171,168,195,169,142,198,199,123,128,124,201,172,186,205,206,203,194,131,173,133,211,134,196,135,
161,136,215,139,218,141,212,143,144,222,145,224,147,226,148,188,228,150,151,213,154,233,214,235,236,
239,162,163,242,176,244,166,167,246,248,232,221,175,177,250,178,179,255,181,258,184,260,185,263,187,
265,190,268,269,193,272,208,274,197,253,278,200,280,282,202,277,287,204,289,207,291,209,293,210,294,
216,296,217,256,257,300,219,302,220,304,305,223,310,225,266,227,313,271,315,229,230,267,231,319,234,
297,321,322,237,326,238,284,249,240,241,331,333,243,290,245,336,247,338,295,251,254,252,339,341,276,
343,345,259,308,286,261,348,262,350,311,264,316,352,329,354,344,270,273,320,275,356,324,342,279,335,
359,281,283,361,285,363,364,334,288,357,337,292,328,353,298,325,299,309,301,346,303,306,332,307,312,
368,318,314,355,317,362,323,370,360,327,340,330,347,372,366,374,349,375,351,369,358,367,365,377,371,
373,378,376]
>;
print "Group G is S6(2) < Sym(378)";