/*
www-ATLAS of Group Representations.
2.L2(7).2i represented as permutations on 224 points.
*/

G<x,y>:=PermutationGroup<224|\[
2,1,5,6,3,4,11,12,13,14,7,8,9,10,23,24,25,26,27,28,29,30,15,16,17,
18,19,20,21,22,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,31,32,33,34,
35,36,37,38,39,40,41,42,43,44,45,46,95,96,97,98,99,100,101,102,103,104,105,106,107,
108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,
94,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,
179,180,181,182,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,
148,149,150,151,152,153,154,196,197,198,199,200,201,202,203,204,205,206,207,208,183,184,185,186,187,
188,189,190,191,192,193,194,195,215,216,217,218,219,220,209,210,211,212,213,214,223,224,221,222]
,\[
1,3,4,2,7,9,8,5,10,6,15,17,19,21,16,11,18,12,20,13,22,14,31,33,35,
37,39,41,43,45,32,23,34,24,36,25,38,26,40,27,42,28,44,29,46,30,63,65,67,69,
71,73,75,77,79,81,83,85,87,89,91,93,64,47,66,48,68,49,70,50,72,51,74,52,76,
53,78,54,80,55,82,56,84,57,86,58,88,59,90,60,92,61,94,62,127,128,129,113,132,96,
134,135,136,138,95,110,114,123,142,139,115,145,131,140,144,147,102,148,104,101,150,151,141,153,121,
116,105,100,130,97,98,133,99,120,117,137,103,119,106,107,108,143,109,111,146,112,126,149,118,125,
152,122,154,124,183,177,180,172,187,182,189,162,170,178,173,193,181,168,161,190,176,186,192,166,155,
195,184,191,159,185,194,188,175,156,157,158,179,160,169,163,164,165,174,167,171,196,204,210,207,208,
206,214,198,209,202,213,211,212,197,203,199,200,201,205,215,221,217,220,216,222,219,218,223,224]
>;
print "Group G is 2.L2(7).2i < Sym(224)";