/*
www-ATLAS of Group Representations.
U5(2) represented as permutations on 297 points.
*/

G<x,y>:=PermutationGroup<297|\[
2,1,5,7,3,10,4,13,15,6,18,20,8,23,9,26,28,11,22,12,32,19,14,36,37,
16,40,17,43,45,47,21,50,52,35,24,25,56,58,27,60,61,29,63,30,66,31,69,71,33,
74,34,76,78,80,38,83,39,86,41,42,90,44,93,94,46,97,99,48,70,49,104,106,51,109,
53,85,54,114,55,117,118,57,121,77,59,124,108,127,62,129,92,64,65,133,135,67,137,68,139,
141,143,144,72,107,73,105,88,75,151,152,154,155,79,157,159,81,82,122,163,84,119,166,87,168,
169,89,172,91,174,164,176,95,179,96,180,98,182,100,142,101,140,102,103,189,191,192,194,149,196,
110,111,193,112,113,190,115,158,116,202,204,205,120,131,195,123,201,125,126,210,211,128,214,130,207,
132,217,219,134,136,216,138,184,183,224,222,225,227,145,156,146,147,153,148,165,150,234,235,237,239,
167,160,242,161,162,215,175,221,213,170,171,247,209,173,206,181,177,218,178,243,208,186,256,185,187,
246,188,238,262,258,263,236,233,197,198,232,199,228,200,267,268,203,220,270,245,226,212,273,275,277,
279,280,282,283,278,223,266,230,264,286,288,229,231,259,285,257,240,241,284,244,289,291,248,293,249,
290,250,255,251,252,292,253,254,269,265,260,296,261,271,276,272,281,274,295,294,287,297]
,\[
3,4,6,8,9,11,12,14,16,17,19,21,22,24,25,27,29,30,1,31,33,34,35,2,38,
39,41,42,44,46,48,49,51,43,53,54,55,57,59,13,5,62,40,64,65,67,68,70,72,73,
7,75,77,79,81,82,84,85,87,88,89,91,92,10,95,96,98,100,101,102,103,105,107,108,110,
111,112,113,115,116,90,119,120,15,122,123,125,126,106,128,130,93,131,132,134,52,136,18,138,140,
142,20,114,145,146,147,148,149,150,66,153,23,156,121,158,144,160,161,162,152,164,165,167,80,26,
170,171,37,173,28,175,177,178,154,78,159,181,183,184,185,186,187,60,188,190,32,193,195,141,76,
197,198,109,45,199,176,200,36,201,203,192,206,86,71,207,104,208,209,139,143,212,213,215,216,63,
135,218,194,204,220,221,222,223,196,47,74,226,124,228,229,230,231,61,232,50,233,235,236,238,137,
240,241,243,189,244,56,58,163,129,245,246,248,249,250,168,251,252,253,254,255,157,211,257,258,259,
69,260,261,166,174,264,265,169,263,205,83,237,219,266,97,269,117,242,151,239,271,272,274,276,278,
191,281,94,155,270,180,99,284,285,287,179,286,247,118,133,289,217,214,290,256,182,282,292,127,291,
294,268,277,283,295,296,234,227,273,262,225,279,288,210,293,297,224,202,172,275,267,280]
>;
print "Group G is U5(2) < Sym(297)";