/*
www-ATLAS of Group Representations.
M24 represented as permutations on 276 points.
*/

G<x,y>:=PermutationGroup<276|\[
19,124,127,4,16,121,70,73,133,67,32,35,129,29,75,5,17,122,1,68,30,95,98,135,92,
104,100,93,14,21,126,11,72,34,12,97,157,160,170,154,166,162,155,168,159,140,143,153,137,149,
145,138,151,142,171,194,197,207,191,203,199,192,205,196,209,208,10,20,125,7,71,33,8,96,15,
158,141,195,109,112,136,106,118,114,107,120,111,169,152,206,110,25,28,128,22,74,36,23,99,27,
161,144,198,26,113,82,85,134,79,91,87,80,105,84,167,150,204,83,119,86,6,18,123,2,69,
31,3,94,13,156,139,193,9,108,24,81,49,52,131,46,77,54,47,102,51,164,147,201,50,116,
53,89,48,40,43,130,37,76,45,38,101,42,163,146,200,41,115,44,88,39,55,257,260,270,254,
266,262,255,268,259,272,271,274,258,269,261,267,256,264,263,59,62,132,56,78,64,57,103,61,165,
148,202,60,117,63,90,58,66,65,265,235,238,248,232,244,240,233,246,237,250,249,252,236,247,239,
245,234,242,241,276,243,214,217,227,211,223,219,212,225,216,229,228,231,215,226,218,224,213,221,220,
275,222,253,175,178,188,172,184,180,173,186,177,190,189,210,176,187,179,185,174,182,181,273,183,251,
230]
,\[
194,32,199,14,196,34,140,208,145,142,4,191,29,11,137,19,197,35,21,143,16,25,198,36,27,
144,22,28,95,205,100,97,151,92,98,99,10,195,33,15,141,7,20,26,96,49,201,54,51,147,
46,52,53,102,50,59,202,64,61,148,56,62,63,103,60,66,124,207,129,126,153,121,127,128,135,
125,131,132,5,192,30,12,138,1,17,23,93,8,47,57,122,6,193,31,13,139,2,18,24,94,
9,48,58,123,3,70,203,75,72,149,67,73,74,104,71,77,78,133,68,69,109,206,114,111,152,
106,112,113,120,110,116,117,136,107,108,118,40,200,45,42,146,37,43,44,101,41,55,65,130,38,
39,76,115,257,274,262,259,271,254,260,261,268,258,264,265,270,255,256,266,269,263,175,210,180,177,
189,172,178,179,186,176,182,183,188,173,174,184,187,181,273,82,204,87,84,150,79,85,86,105,83,
89,90,134,80,81,91,119,88,267,185,214,231,219,216,228,211,217,218,225,215,221,222,227,212,213,
223,226,220,275,230,224,157,209,162,159,171,154,160,161,168,158,164,165,170,155,156,166,169,163,272,
190,167,229,235,252,240,237,249,232,238,239,246,236,242,243,248,233,234,244,247,241,276,251,245,253,
250]
>;
print "Group G is M24 < Sym(276)";