As it's dual voltage, I'd expect it to have two main windings that can be connected in series for 240V or parallel for 120V, plus the start winding which has the capacitor in series; also the centrifugal switch at one end or the other.
The typical wiring for the main windings would be like 1-3 for one and 2-4 for the other; links on 1-2 and 3-4 put them in parallel for 120V, or a link on 2-3 puts them in series for 240V. The numbers are likely in sequence like that, but start higher.
Plus possibly other linking terminals.
Can you add a photo of the terminal side of the board with whatever terminal markings it has?