What is the difference between an overhead crane and a hoist?

Hoists typically only offer two directions of load motion: foward/reverse and up/down. Cranes typically offer three directions of load motion: forward/reverse, up/down, and left/right.

Also look at what the manufacturer calls it, as well as any design and installation drawings.

Hoists are typically mounted on a beam, which must be rated with a load capacity that is equal to, or greater than, the rating on the hoist.