  In 1992 Czerwinski and Oakden (The translation planes of order 25, J. Combin.
Theory Ser. A, 59:193-217, 1992) provided an exhaustive list of all spreads of
$PG(3,5)$ and thus of all translation planes of that order. At that time, the
authors provided a partial correlation of these planes to those then-described
in the literature, but the intervening years have provided additional
construction techniques and classification results. This paper provides an
extensive classification of these planes against the currently-known
construction techniques, finding two planrs that do not belong to any current
infinite family. The author provides additional details for these two planes to
help put them in context, as a spur for further research.
