/*
www-ATLAS of Group Representations.
M22:2 represented as permutations on 330 points.
*/

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