/*
www-ATLAS of Group Representations.
U4(4) represented as permutations on 325 points.
*/

G<x,y>:=PermutationGroup<325|\[
3,4,1,2,5,161,163,164,162,135,137,134,136,85,82,83,84,104,105,102,103,122,123,124,125,
239,237,238,236,187,188,190,189,95,97,96,94,205,155,206,204,267,266,264,265,148,149,147,146,79,
78,81,80,175,173,172,174,284,285,283,282,118,120,121,119,106,108,109,107,201,234,272,273,279,278,
276,277,51,50,53,52,15,16,17,14,218,221,219,220,167,165,158,166,37,34,36,35,297,294,295,
296,20,21,18,19,66,69,67,68,274,275,203,235,288,287,289,286,62,65,63,64,22,23,24,25,
241,242,240,243,208,209,207,210,12,10,13,11,280,157,200,281,194,192,191,193,49,48,46,47,263,
261,262,260,312,39,255,139,92,170,223,6,9,7,8,91,93,90,177,176,159,178,56,55,57,54,
169,168,171,181,182,179,180,186,185,184,183,30,31,33,32,144,143,145,142,197,198,195,196,217,140,
70,253,112,41,38,40,132,130,131,133,290,292,293,291,216,215,199,86,88,89,87,224,160,222,226,
225,228,227,230,229,232,231,321,71,113,29,27,28,26,128,126,127,129,245,244,247,246,268,269,271,
270,306,202,307,156,258,259,256,257,153,151,152,150,44,45,43,42,248,249,251,250,72,73,110,111,
76,77,75,74,138,141,61,60,58,59,117,115,114,116,211,214,212,213,99,100,101,98,299,298,301,
300,303,302,305,304,252,254,309,308,311,310,154,314,313,315,316,317,318,324,322,233,320,325,319,323]
,\[
236,117,247,212,13,29,98,316,297,187,254,90,198,239,237,3,238,17,129,235,308,325,221,49,41,
199,18,151,290,310,106,63,202,5,245,246,244,96,281,304,283,25,233,306,144,70,170,88,259,97,
111,224,249,192,231,60,31,242,180,268,9,133,154,276,43,54,280,209,299,64,74,140,183,125,178,
301,94,47,84,278,253,150,105,52,101,168,120,229,6,302,205,66,177,288,226,263,50,2,116,115,
114,56,248,176,282,156,76,14,147,4,213,214,211,193,257,174,7,264,32,87,8,95,207,206,167,
137,225,99,19,165,55,305,113,108,275,139,22,179,30,72,172,148,127,23,184,110,200,123,68,69,
166,251,298,119,313,57,285,191,24,100,261,295,20,78,118,241,71,323,277,164,93,145,65,128,201,
309,273,75,11,10,1,12,311,141,143,149,59,256,266,240,314,92,85,219,220,279,197,34,312,210,
175,155,51,48,189,35,142,16,186,109,62,146,203,322,255,39,163,83,40,196,45,287,216,79,185,
307,274,272,204,112,300,284,173,270,217,293,289,27,134,153,28,228,81,250,124,303,208,103,315,286,
21,15,320,138,234,157,160,158,159,271,232,73,267,130,36,91,38,102,26,215,260,58,171,294,135,
46,132,162,195,67,223,218,42,161,188,37,44,324,252,89,121,61,181,317,80,53,292,190,82,131,
319,182,265,194,169,222,122,152,318,136,262,269,33,258,296,291,227,104,107,243,86,230,321,77,126]
>;
print "Group G is U4(4) < Sym(325)";