  For an arbitrary 5-fold ramified covering between compact Riemann surfaces,
every possible Galois closure is determined in terms of the ramification data
of the map; namely, the ramification divisor of the covering map. Since the
group that acts on the Galois closure also acts on the Jacobian variety of the
covering surface, we describe its group algebra decomposition in terms of the
Jacobian and Prym varieties of the intermediate coverings of the Galois
closure. The dimension and induced polarization of each abelian variety in the
decomposition is computed in terms of the ramification data of the covering
map.
