/*
www-ATLAS of Group Representations.
M22 represented as permutations on 330 points.
*/

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