rift vs schism

rift and schism both are nouns.

Word	Noun	Adjective	Verb	Adverb
rift	Yes	No	No	No
schism	Yes	No	No	No

As nouns, schism is a hyponym of rift; that is, schism is a word with a more specific, narrower meaning than rift:

rift: a personal or social separation (as between opposing factions)
schism: the formal separation of a church into two churches or the withdrawal of one group over doctrinal differences

rift (noun)	schism (noun)
a personal or social separation (as between opposing factions)	division of a group into opposing factions
a narrow fissure in rock	the formal separation of a church into two churches or the withdrawal of one group over doctrinal differences
a gap between cloud masses