The ciphertext AAAAFXGGFAFFGGFGXAFGADGGAXXXFX was encrypted using the ADFGX cipher with the 55 matrix in Section 2.6 and the keyword broken. Find plaintext.

Do I need to reorder the columns so that the column labels are in alphabetic order?

\begin{tabular}{c|ccccc} & A & D & F & G & X \\ \hlineA & p & g & c & e & n \\ D & b & q & o & z & r \\ F & s & l & a & f & t \\ G & m & d & v & i & w \\ X & k & u & y & x & h \end{tabular}