/*
www-ATLAS of Group Representations.
2.L3(4) represented as permutations on 240 points.
*/

G<x,y>:=PermutationGroup<240|\[
1,5,3,9,2,13,11,15,4,18,7,16,6,23,8,12,28,10,32,30,25,34,14,38,21,
40,41,17,44,20,48,19,50,22,54,52,56,24,58,26,27,63,65,29,68,66,70,31,73,33,
77,36,79,35,81,37,83,39,86,88,89,91,42,94,43,46,97,45,99,47,103,72,49,90,106,
109,51,112,53,115,55,117,57,120,122,59,125,60,61,74,62,92,132,64,133,111,67,135,69,116,
114,102,71,139,140,75,107,121,76,145,96,78,148,101,80,100,82,124,152,84,108,85,123,118,87,
127,126,158,129,160,161,93,95,164,98,166,168,162,104,105,172,170,143,174,110,177,178,113,151,179,
149,119,171,154,176,181,182,128,184,130,131,138,186,134,189,136,193,137,194,142,153,141,196,144,197,
155,146,147,150,200,156,157,203,159,205,163,208,210,165,190,211,214,167,169,217,173,175,219,221,180,
223,224,183,220,185,216,226,187,222,188,191,212,213,192,215,206,195,225,198,204,199,209,201,202,218,
207,233,228,229,234,235,236,227,230,231,232,238,237,240,239]
,\[
2,6,7,1,10,4,14,3,16,19,20,5,22,8,25,27,9,29,12,33,11,35,36,13,39,
15,17,42,45,46,18,49,21,38,24,55,23,57,26,59,61,64,28,65,31,69,30,71,74,75,
32,56,34,80,37,82,53,84,87,40,90,41,92,43,95,88,44,98,47,101,104,48,105,51,108,
50,110,52,113,54,116,78,118,121,58,123,60,126,127,62,129,131,63,100,67,66,109,94,136,68,
137,70,112,72,141,142,73,76,144,146,77,147,149,79,99,81,132,151,83,133,85,154,156,86,115,
96,157,89,159,91,93,162,163,97,165,125,102,103,169,139,107,173,106,134,175,111,138,178,114,117,
119,179,120,180,122,124,128,170,130,174,160,150,153,187,190,191,135,183,171,168,140,195,143,185,181,
145,198,148,152,155,176,201,158,172,161,206,209,164,210,167,213,166,215,205,204,218,203,220,177,196,
217,182,197,184,194,225,186,219,188,227,221,189,192,229,230,193,202,222,208,199,231,200,214,226,207,
224,212,211,232,216,228,223,237,233,239,235,238,234,240,236]
>;
print "Group G is 2.L3(4) < Sym(240)";