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

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