/*
www-ATLAS of Group Representations.
M22:2 represented as permutations on 352 points.
*/

G<x,y>:=PermutationGroup<352|\[
2,1,6,7,9,3,4,14,5,17,19,20,22,8,21,26,10,29,11,12,15,13,36,38,39,
16,42,44,18,47,49,50,52,53,55,23,58,24,25,63,65,27,68,28,70,72,30,74,31,32,
77,33,34,82,35,85,87,37,89,91,92,94,40,93,41,99,101,43,79,45,105,46,81,48,109,
110,51,113,69,115,73,54,119,114,56,121,57,122,59,125,60,61,64,62,128,133,134,136,66,139,
67,141,142,144,71,146,111,148,75,76,107,152,78,84,80,157,158,159,83,160,86,88,165,154,90,
156,170,95,172,173,175,176,96,97,179,98,182,184,100,186,102,103,190,104,193,106,195,108,198,199,
200,112,203,124,204,126,116,117,118,120,212,202,214,216,123,201,218,220,221,127,224,129,130,228,131,
132,207,232,135,235,237,137,222,138,226,140,241,242,210,143,245,238,145,240,147,249,251,149,150,151,
166,162,153,155,259,260,177,262,263,189,265,161,268,163,270,164,253,167,274,168,169,183,257,171,278,
185,280,174,281,254,272,178,276,284,180,273,181,192,286,194,187,188,289,288,191,269,290,279,196,293,
197,296,217,230,298,299,223,297,205,206,303,208,209,306,211,305,309,213,246,215,301,231,236,219,314,
233,315,225,248,227,229,310,311,234,317,239,308,244,243,247,321,302,250,316,324,252,258,255,256,326,
271,292,261,327,266,264,329,287,267,282,283,332,330,275,277,294,285,336,331,335,291,338,339,295,341,
300,304,343,307,313,319,312,345,346,320,318,348,322,323,344,325,350,328,340,333,334,351,337,352,342,
347,349]
,\[
3,4,1,8,2,10,12,5,15,18,6,21,7,23,25,9,27,11,30,32,13,34,37,14,16,
40,43,17,45,48,19,51,20,54,22,56,24,59,61,64,26,66,28,50,71,29,73,31,75,76,
33,78,80,35,83,86,36,88,90,38,93,39,95,41,97,100,42,49,44,103,46,106,47,107,102,
69,111,114,52,116,53,117,120,55,112,57,118,58,123,60,126,128,62,130,132,63,135,65,137,67,
140,68,143,70,145,72,147,74,149,101,85,77,153,79,155,81,87,82,154,84,161,163,166,89,167,
169,91,171,92,174,94,96,159,165,98,180,183,99,158,151,187,188,104,191,105,194,108,196,195,109,
110,201,119,113,205,115,206,208,209,210,213,121,215,122,217,124,219,125,127,222,129,225,227,131,229,
230,133,134,233,236,136,237,138,238,139,239,141,243,142,244,246,144,247,146,150,250,148,214,245,253,
255,152,173,257,156,261,157,185,177,264,160,266,162,269,164,271,178,272,168,275,267,277,170,273,279,
172,256,276,175,282,176,278,283,179,182,181,285,184,262,186,198,287,189,190,289,192,291,193,280,197,
294,199,297,200,202,203,300,204,301,232,207,240,304,211,307,221,212,310,241,312,216,224,218,311,228,
220,223,302,226,316,317,231,234,314,235,319,320,242,252,305,248,249,309,323,251,299,254,286,296,258,
259,260,327,290,263,328,330,265,331,274,268,333,270,334,332,292,281,284,325,288,337,293,295,326,298,
342,306,303,341,308,322,344,313,318,315,321,347,346,343,324,329,340,350,335,351,352,336,338,339,349,
345,348]
>;
print "Group G is M22:2 < Sym(352)";