/*
www-ATLAS of Group Representations.
2.U4(2):2 represented as permutations on 240 points.
*/

G<x,y>:=PermutationGroup<240|\[
199,108,97,44,197,99,43,33,50,210,223,208,200,172,28,12,174,72,22,128,96,133,239,51,78,
32,112,101,148,233,8,102,156,29,236,185,147,10,13,113,105,188,60,165,68,132,214,120,111,161,
191,155,169,71,38,103,183,21,109,225,146,226,77,204,119,194,40,140,61,151,52,212,94,118,90,
229,232,209,95,202,222,14,25,216,154,75,187,126,131,190,162,58,85,196,211,92,107,74,167,82,
177,235,180,63,89,141,135,106,81,192,219,158,137,56,9,24,121,125,84,80,207,87,42,164,98,
36,4,91,224,168,41,159,230,6,3,37,67,201,240,145,2,124,79,69,45,144,149,228,136,237,
30,117,170,178,54,31,39,176,234,193,115,20,184,189,127,181,134,138,153,53,227,100,213,198,49,
27,15,93,205,114,5,76,179,129,88,182,206,203,142,86,116,173,47,195,215,221,166,220,64,157,
130,48,123,1,57,122,152,218,83,55,143,238,110,160,66,65,231,16,175,17,73,59,217,163,7,
35,150,34,186,19,11,104,70,46,26,62,171,18,139,23]
,\[
41,61,137,215,238,80,57,63,217,139,28,120,24,216,146,138,3,203,157,220,111,145,118,151,208,
142,240,190,122,193,131,161,105,86,154,158,231,159,219,135,196,234,29,115,39,113,56,189,171,53,
58,76,26,186,23,37,79,60,143,179,6,93,114,89,14,77,147,134,140,214,4,168,212,47,81,
117,44,74,34,124,95,38,125,100,162,141,116,27,73,108,174,175,163,92,85,7,55,222,188,119,
69,164,25,127,36,144,40,206,126,184,71,156,136,209,153,96,5,109,1,66,169,43,33,19,160,
17,50,32,101,152,88,84,13,123,10,197,97,121,98,200,87,218,178,167,99,45,181,90,223,62,
106,170,102,129,165,232,191,239,67,180,11,235,15,12,194,72,48,204,176,112,35,210,224,78,155,
8,75,128,211,149,30,172,94,54,198,207,225,31,133,59,233,236,229,192,104,18,70,107,173,49,
199,195,132,110,221,51,166,130,16,46,148,42,226,182,213,64,177,202,150,83,21,185,237,52,228,
205,91,187,82,68,227,103,2,65,9,183,20,201,230,22]
>;
print "Group G is 2.U4(2):2 < Sym(240)";