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

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