/* www-ATLAS of Group Representations. 2.U6(2) represented as 56 x 56 matrices over GF(11). */ F:=GF(11); x:=CambridgeMatrix(3,F,56,\[ 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, 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, 0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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7,4,4,1,7,6,10,2,5,5,10,9,5,0,6,4,1,10,0,6,5,5,0,7,3,1,7,7,0,6,3,6,0,0,8,0,0,4,0,4,0,0,0,8,0,0,0,1,0,0,0,0,0,0,0,0, 9,2,5,0,6,9,0,2,2,8,2,9,1,0,3,3,9,6,0,10,0,3,0,8,10,5,1,1,0,0,9,8,0,0,1,0,0,10,0,10,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0, 6,5,8,2,3,0,9,7,0,2,4,4,5,0,9,1,7,9,0,6,1,3,0,10,3,2,5,4,0,10,3,8,0,0,8,0,0,6,0,7,0,0,0,8,0,0,0,0,0,1,0,0,0,0,0,0, 2,9,10,3,1,2,8,5,9,0,1,6,8,0,0,5,10,0,0,3,7,0,0,6,0,0,3,10,0,4,1,0,0,0,0,0,0,8,0,1,0,0,0,10,0,0,0,0,0,0,1,0,0,0,0,0, 3,8,2,5,9,4,6,6,7,5,7,5,6,0,6,3,4,6,0,5,4,1,0,8,8,5,0,4,0,7,10,10,0,0,3,0,0,0,0,7,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0, 5,6,3,2,8,4,9,3,7,2,6,8,4,0,9,3,5,8,0,7,10,6,0,8,9,3,7,2,0,1,9,5,0,0,2,0,0,4,0,9,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0, 6,5,3,3,8,8,8,4,3,10,9,7,3,0,1,10,2,10,0,8,9,8,0,1,1,1,3,6,0,2,5,3,0,0,10,0,0,8,0,5,0,0,0,6,0,0,0,0,0,0,0,0,0,1,0,0, 10,1,8,2,3,0,9,6,0,10,9,5,3,0,1,6,2,5,0,8,1,7,0,5,2,6,7,9,0,10,10,4,0,0,9,0,0,4,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0, 4,7,9,10,2,0,1,7,0,10,8,4,8,0,1,0,3,4,0,3,2,8,0,0,0,7,5,7,0,9,7,3,0,0,0,0,0,6,0,4,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,1]); y:=CambridgeMatrix(3,F,56,\[ 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, 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,10,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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1,2,1,1,0,10,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,10,10,10,0,10,10,0,0,9,0,0,0,0,0,10,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0, 1,6,1,0,1,1,1,10,2,10,6,9,1,1,0,7,1,5,10,0,4,0,4,0,6,0,6,0,7,0,10,0,1,0,0,7,5,0,1,0,0,0,1,0,0,10,0,0,4,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0, 1,4,9,10,4,0,9,0,3,4,4,8,8,7,0,0,1,2,3,0,3,0,0,0,9,1,0,0,8,0,6,0,6,0,10,5,0,0,0,0,1,0,5,0,0,5,0,0,6,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0, 3,6,2,10,8,10,9,1,5,3,6,6,8,8,0,9,3,5,3,0,0,0,2,0,6,10,1,0,0,0,6,0,7,0,1,1,10,0,0,0,0,0,5,0,1,4,0,0,10,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1, 7,1,9,2,3,5,5,2,4,9,3,2,6,10,10,4,0,9,7,6,3,7,7,0,0,4,5,1,2,9,0,10,5,9,5,10,7,2,0,0,3,10,9,2,2,1,4,9,7,4,4,0,5,0,9,4, 5,5,2,4,2,9,8,6,8,2,1,10,4,3,2,2,0,5,0,4,8,9,4,9,4,2,8,10,0,0,0,8,4,9,3,6,5,8,10,0,10,4,0,0,9,7,8,4,4,1,0,10,3,5,7,1, 3,7,0,10,9,1,4,2,7,5,10,1,7,5,6,10,4,5,0,0,9,1,0,1,10,8,1,2,1,3,10,3,7,9,5,8,6,6,0,9,7,3,7,7,9,7,5,7,1,2,10,9,5,1,7,8, 0,4,1,0,6,6,9,8,9,4,2,1,3,2,7,9,8,6,0,0,7,0,6,3,5,3,7,1,8,3,10,2,9,7,5,6,5,0,8,8,1,3,3,2,0,4,1,3,7,6,8,0,9,0,0,5, 5,1,2,6,4,0,10,9,6,0,9,1,3,0,7,6,7,0,5,4,3,1,8,4,3,5,10,2,9,2,5,1,9,0,1,10,2,9,0,1,6,1,1,2,1,6,4,2,8,8,2,6,7,9,5,10, 7,10,10,10,10,3,5,9,6,7,5,7,4,1,9,2,9,3,2,7,7,9,7,3,0,2,10,8,0,1,0,9,9,6,9,3,0,0,10,10,10,5,7,4,0,5,3,9,5,8,5,3,10,10,2,9, 4,7,9,10,2,0,1,7,0,10,8,4,8,0,1,0,3,4,0,3,2,8,0,0,0,7,5,7,0,9,7,3,0,0,0,0,0,6,0,4,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,1, 10,4,9,1,6,9,1,2,9,0,6,6,9,5,0,3,10,8,10,4,7,3,2,5,9,4,7,0,0,2,8,3,9,5,1,1,1,10,0,5,0,2,0,4,8,0,5,2,10,0,1,4,4,2,7,10, 4,4,0,3,5,9,6,3,10,6,5,1,8,7,10,3,7,7,4,1,4,8,10,7,3,10,5,9,0,0,10,7,4,3,5,6,9,3,6,3,2,8,6,7,5,5,10,0,6,6,0,3,10,2,9,6, 6,3,1,2,1,10,9,8,3,4,10,5,7,10,1,7,7,3,0,6,3,1,1,6,2,10,8,0,6,3,8,2,5,8,3,10,8,1,0,9,9,0,5,3,3,3,5,8,0,4,4,7,2,4,2,6, 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]); G:=MatrixGroup<56,F|x,y>; print "Group G is 2.U6(2) < GL(56,GF(11))";