* General:
* Quartet (used for musical groups)
* Quadruplet (referring to four identical things)
* Group of four (simple and straightforward)
* Specific:
* Foursome (for a group of people, often in a game like golf)
* Quadrangle (for a group of four buildings)
* Tetrad (for a group of four related objects)
* Four-in-hand (for a group of four horses)
The best term to use will depend on the context of the group.