/*
www-ATLAS of Group Representations.
S14 represented as permutations on 364 points.
*/

G<x,y>:=PermutationGroup<364|\[
1,4,3,2,9,11,7,14,5,17,6,20,13,8,15,16,10,29,19,12,34,22,23,24,25,
40,27,28,18,46,31,32,33,21,53,36,56,41,39,26,38,42,43,44,45,30,69,48,60,50,
51,52,35,76,55,37,79,81,59,49,61,62,63,88,65,66,67,68,47,70,71,72,73,74,75,
54,77,78,57,106,58,110,83,84,89,86,87,64,85,90,91,92,93,94,95,96,127,98,99,100,
101,102,103,104,105,80,139,108,109,82,144,112,128,147,115,116,136,118,119,120,153,122,123,124,125,
126,97,113,129,130,131,132,133,134,135,117,137,138,107,172,141,142,143,111,178,179,114,183,149,154,
151,152,121,150,155,156,157,158,159,160,161,162,197,164,165,166,167,168,169,170,171,140,173,174,175,
176,177,145,146,218,181,182,148,223,225,186,204,188,189,190,230,192,193,198,195,196,163,194,199,200,
201,202,203,187,205,206,207,208,209,227,211,212,213,214,215,216,217,180,253,220,221,222,184,259,185,
262,210,231,229,191,228,232,233,269,235,236,237,272,239,240,241,242,243,244,245,246,247,248,249,250,
251,252,219,254,255,256,257,258,224,260,261,226,297,299,276,266,302,303,234,306,273,238,271,274,275,
265,277,278,279,309,281,282,283,284,285,286,287,301,289,290,291,292,293,294,295,296,263,326,264,329,
288,267,268,304,305,270,335,308,280,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,
298,327,328,300,353,338,337,333,334,307,358,332,331,339,340,341,354,343,344,345,355,347,348,349,350,
351,352,330,342,346,356,357,336,359,360,361,362,363,364]
,\[
2,5,1,7,10,3,13,4,15,18,8,6,22,23,25,9,27,30,11,32,12,36,37,14,39,
16,42,17,44,47,19,49,20,51,21,55,57,24,59,60,26,63,28,65,29,67,54,31,56,33,
72,34,74,35,77,78,80,38,83,84,40,41,87,43,90,45,92,46,94,48,50,97,52,99,53,
101,70,103,104,107,108,58,112,113,61,62,116,117,64,120,66,122,68,124,69,71,128,73,130,75,
132,76,134,135,79,137,140,136,81,142,82,115,146,85,86,149,127,88,89,152,91,155,93,157,95,
96,160,161,98,163,100,165,102,159,167,105,168,106,170,145,109,174,110,176,111,180,181,114,151,118,
119,186,187,121,190,123,192,125,126,194,195,129,198,131,200,133,202,203,138,205,139,207,141,210,143,
212,144,214,216,219,204,147,221,148,150,189,227,153,154,229,156,232,158,234,196,162,235,236,164,238,
166,209,240,169,241,171,243,172,173,217,175,246,177,248,178,250,179,251,224,182,255,183,257,184,260,
185,197,188,231,265,191,267,193,270,271,237,199,273,201,254,275,206,277,208,211,280,213,282,215,279,
284,218,286,220,288,222,290,223,292,276,225,295,226,228,301,230,268,233,304,298,307,308,274,239,294,
242,310,244,245,305,247,313,249,315,252,316,253,285,256,318,258,320,259,261,322,262,324,263,327,264,
309,266,332,312,269,333,336,303,272,328,278,281,338,283,289,340,287,342,291,344,293,346,296,347,297,
349,337,299,351,300,302,355,343,306,339,330,311,357,314,323,317,356,319,352,321,341,360,325,361,326,
363,329,364,331,354,334,335,359,345,353,348,350,358,362]
>;
print "Group G is S14 < Sym(364)";