“God” is, ultimately, a philosophical term. If we philosophically ignore the two pressing questions of “do gods exist in the first place?” and “what the hell is a god?” we can learn quite a bit from the various proposals people have made about what shape a god might take. In most cultures, god is seen as either a single individual or a set of multiple individuals. We refer to those as monotheistic and polytheistic. These typically come with social norms - sins and virtues - attached to them that dictate how humans should live.

However, some say that these might as well just be human projections. We see ourselves as human or as individuals, so someone lacking proper imagination would of course come up with gods that originate from their own, human image. They propose gods as either entities or concepts. Some say that the laws of nature are god. They see god not as an individual that moderates human society, but more as “spiritual centerpieces” that, on their own, are meaningless.

This is typically what I would refer to as a faith. All religions are a type of faith, but not all faiths are a type of religion.