Use of the Prepositions in Attic Prose.—
With the accusative only: ἀνά, εἰς.
With the dative only: ἐν, σύν.
With the genitive only: ἀντί, ἀπό, ἐξ, πρό.
With the accusative and genitive: ἀμφί, διά, κατά, μετά, ὑπέρ.
With accusative, genitive, and dative: ἐπί, παρά, περί, πρός, ὑπό.
a. With the dative are also used in poetry: ἀνά, ἀμφί (also in Hdt.), μετά. ἀπό (ἀπύ), ἐξ (ἐς) take the dative in Arcadian and Cyprian.
b. The genitive is either the genitive proper (of the goal, 1349, 1350, etc.) or the ablatival genitive.
c. The dative is usually the locative or the instrumental, rarely the dative proper (as with ἐπί and πρός of the goal).
Herbert Weir Smyth [n.d.], A Greek Grammar for Colleges; Machine readable text [info] [word count] [Smyth].