/* www-ATLAS of Group Representations. U3(4) represented as 150 x 150 matrices over GF(25). */ F:=GF(25); x:=CambridgeMatrix(3,F,150,\[ 0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 18,5,11,21,24,22,16,4,22,1,12,17,7,7,6,23,19,17,21,7,12,23,7,22,8,11,7,20,0,19,13,12,0,20,21,1,13,15,24,6,9,1,7,7,10,18,20,0,21,22,16,0,9,23,0,0,13,18,5,7,23,9,19,5,16,13,8,22,11,20,21,10,8,11,24,16,9,21,16,12,22,11,14,21,0,12,19,17,15,0,12,5,12,13,19,5,24,9,17,7,23,19,1,4,21,11,9,18,12,14,24,9,2,12,21,23,12,21,3,6,23,5,15,23,22,20,9,2,23,23,24,1,9,11,17,1,12,0,23,13,0,12,21,19,6,15,23,21,9,14, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 16,1,5,14,16,12,8,7,19,5,24,1,22,23,19,17,0,8,20,23,9,15,19,21,24,21,6,17,3,11,16,8,15,15,24,8,3,24,10,9,13,19,1,0,3,15,22,7,20,8,16,3,16,15,4,1,15,1,0,22,7,18,15,15,10,3,14,15,11,20,2,17,2,8,0,13,13,18,20,3,19,16,9,2,9,9,13,12,1,5,1,8,12,13,19,4,7,18,22,21,21,10,11,17,2,23,20,1,19,18,12,13,18,19,17,2,8,16,3,9,8,17,16,0,23,2,9,9,13,18,22,14,10,9,0,19,4,16,8,23,24,7,20,4,2,19,8,19,22,13, 20,6,6,4,4,8,22,15,3,1,15,10,11,6,3,13,22,4,7,18,10,20,15,12,14,21,20,10,11,22,14,4,14,13,12,21,1,10,21,16,16,7,13,14,16,5,2,6,5,13,16,14,8,10,16,9,24,13,15,5,8,3,16,24,14,24,12,2,10,5,16,23,5,2,10,19,7,6,4,4,0,21,4,1,7,15,19,15,3,13,9,7,20,19,1,5,20,16,6,22,22,19,4,13,6,15,0,16,18,9,14,12,12,23,1,21,2,15,22,1,10,11,5,10,22,12,8,5,18,9,10,6,10,4,13,3,11,4,15,3,5,23,11,3,24,11,3,11,5,1, 14,13,0,11,2,5,20,20,14,5,17,18,3,16,7,13,12,12,0,1,16,12,3,24,19,1,4,3,1,17,0,5,18,0,0,23,12,20,24,6,4,16,21,10,9,11,13,13,20,18,5,0,3,6,1,8,13,16,16,20,0,5,0,11,22,13,10,2,24,9,2,11,4,3,2,1,16,2,22,6,3,8,16,23,4,11,8,23,19,20,17,15,24,16,10,9,23,6,9,5,3,15,2,11,3,13,14,3,11,18,14,20,11,8,15,10,11,17,20,18,21,14,15,13,10,6,10,7,21,20,9,14,4,6,9,8,14,0,12,0,9,20,17,7,13,23,19,5,0,22, 0,13,13,0,5,14,19,4,16,7,21,18,10,19,10,11,0,6,16,22,2,10,20,21,0,3,10,17,2,10,8,6,4,18,22,18,20,3,1,18,22,19,8,4,9,9,1,6,5,3,3,18,17,20,11,1,18,12,12,5,22,24,0,18,7,4,19,12,19,21,17,23,20,22,11,19,19,14,17,9,17,0,0,5,24,0,12,9,17,13,1,1,13,21,9,13,6,13,18,13,7,18,3,18,17,19,5,9,18,1,10,23,5,15,10,5,14,1,7,24,21,16,4,18,4,2,6,14,5,21,1,11,8,16,1,11,1,4,2,7,15,4,16,11,6,23,0,23,18,19]); G:=MatrixGroup<150,F|x,y>; print "Group G is U3(4) < GL(150,GF(25))";