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

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