/*
www-ATLAS of Group Representations.
S6(3):2 represented as permutations on 364 points.
*/

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