/* www-ATLAS of Group Representations. O8-(2) represented as 51 x 51 matrices over GF(17). */ F:=GF(17); x:=CambridgeMatrix(3,F,51,\[ 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, 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, 0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1, 2,16,9,15,15,1,7,13,0,2,10,9,6,9,12,2,10,5,5,1,13,8,4,9,1,6,4,11,1,11,0,1,16,10,16,8,2,0,14,0,0,8,7,13,6,0,4,12,4,10,2, 0,5,7,10,8,13,11,3,8,8,9,2,2,12,5,13,10,0,4,12,13,12,7,11,2,8,10,12,5,2,11,8,15,14,0,13,8,1,14,11,6,6,11,1,14,0,14,3,12,14,11, 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, 9,6,3,4,9,2,16,0,7,3,8,15,1,3,2,4,2,13,13,7,11,0,12,1,6,14,0,1,13,9,16,3,9,9,12,10,0,9,12,4,13,9,6,9,4,4,7,16,14,4,10, 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, 4,11,0,13,12,4,5,14,7,15,5,5,0,1,7,2,12,6,8,3,2,0,0,7,13,12,1,15,3,8,14,16,3,10,15,10,5,12,13,6,9,2,12,15,13,6,1,13,8,8,2, 9,8,3,7,8,12,5,2,4,10,0,12,0,11,3,6,8,14,3,0,11,5,11,0,14,9,14,16,13,4,11,9,12,15,8,8,13,15,11,16,5,7,3,14,0,3,9,16,0,0,5, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 7,0,4,13,1,16,6,0,6,2,15,7,15,5,16,4,7,9,4,8,7,16,3,8,13,0,9,13,2,13,6,15,14,8,15,16,1,0,6,12,9,5,5,0,16,11,2,2,6,15,0, 2,15,13,11,14,1,14,2,16,9,12,7,6,9,2,1,15,4,8,12,5,7,5,8,0,2,3,3,0,13,6,1,14,4,0,9,9,8,15,2,11,16,3,2,4,7,10,15,8,10,11, 13,0,13,8,14,4,14,6,15,7,6,11,12,16,4,9,6,14,11,2,7,14,6,0,4,3,11,12,5,7,1,7,15,13,13,11,14,16,4,6,9,0,8,6,5,0,6,2,9,15,8, 1,0,9,12,4,6,14,16,5,8,13,10,14,8,2,16,10,1,7,16,11,9,7,12,16,11,12,2,8,10,15,10,15,10,0,11,4,10,5,15,14,15,4,11,11,5,2,15,7,7,2, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]); G:=MatrixGroup<51,F|x,y>; print "Group G is O8-(2) < GL(51,GF(17))";