/*
www-ATLAS of Group Representations.
4a.L3(4) represented as permutations on 224 points.
*/

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