Is dinoprost PGF2-alpha or PGE2?
Prostaglandins A,B,C,D,E,F represent different non-inclusive classes of prostaglandins and all have different chemical structure. Hence (by classification), PgE cannot be subtype of PgF:

PgE have an oxo group at C9, while PgF have hydroxyl group at C9.

Back to Dinoprost, it is PgF2alpha and not PgE2 which is Dinoprostone.