/* www-ATLAS of Group Representations. L6(2) represented as 34 x 34 matrices over GF(2). */ F:=GF(2); x:=CambridgeMatrix(1,F,34,[ "0100000000000000000000000000000000", "1000000000000000000000000000000000", "0000100000000000000000000000000000", "0000001000000000000000000000000000", "0010000000000000000000000000000000", "0000000001000000000000000000000000", "0001000000000000000000000000000000", "0000000000001000000000000000000000", "0000000000000010000000000000000000", "0000010000000000000000000000000000", "0000000000000000100000000000000000", "0000000000000000001000000000000000", "0000000100000000000000000000000000", "0000000000000000000001000000000000", "0000000010000000000000000000000000", "0000000000000000000000001000000000", "0000000000100000000000000000000000", "0000000110101010110000000000000000", "0000000000010000000000000000000000", "0000000000000100000101000000000000", "1111111111001011000010001000000000", "0000000000000100000000000000000000", "0000010001100100100001100000000000", "1101011001110001101000011000000000", "0000000000000001000000000000000000", "1110100000000000000000000100000000", "0000010111111010101000000010000000", "0000010101101101100001001001000000", "1111101110001010000000000000100000", "1110110111001110000001000000010000", "1111101100101000100000000000001000", "0010100000110100101001000000000100", "0001001000100100100001000000000010", "0001011101001000000000000000000001"]); y:=CambridgeMatrix(1,F,34,[ "0010000000000000000000000000000000", "0001000000000000000000000000000000", "0000010000000000000000000000000000", "0000000100000000000000000000000000", "0000000010000000000000000000000000", "0000000000100000000000000000000000", "0000000000010000000000000000000000", "0000000000000100000000000000000000", "0100110010000000000000000000000000", "0000000000000001000000000000000000", "0000000000000000010000000000000000", "0000000000000000000100000000000000", "0000000000000000000010000000000000", "0000000000000000000000100000000000", "0000000000000000000000010000000000", "0000000000000000000000000100000000", "0000000000000000000000000010000000", "1101010000100100000000100000000000", "0000000000000000000000000001000000", "0000000000000000000000000000100000", "0000000000000000000000000000010000", "0111110101000000011100110011000000", "1011000100100000010000100000000000", "0000000000000000000000000000001000", "0000000000000000000000000000000100", "0000000000000000000000000000000010", "0000000000000000000000000000000001", "0111010000001011110000000101110001", "1110011011010010110111101101011110", "1101101010010001010000001000010110", "0000110111111011000000101000110100", "0100110011101100010100100100010010", "1000010110011011001111000001011001", "1010010000100100100011110010100000"]); G:=MatrixGroup<34,F|x,y>; print "Group G is L6(2) < GL(34,GF(2))";