Who owns the building?

Whose name is on the deed, and whether anything above the congregation encumbers it. The single most consequential structural difference between these bodies, and the one least visible from the pew.

The local congregation

The congregation, held in trust for the denomination

Mixed — varies by congregation or state

A regional body

The national body

A corporation sole (the bishop's office)

Someone outside the body — by design

Every grouping above is a nearest-fit label; the deviations are stated in each profile's prose. Why it is built that way.