Satanism vs black magic

Satanism and black magic both are nouns.

Word	Noun	Adjective	Verb	Adverb
Satanism	Yes	No	No	No
black magic	Yes	No	No	No

As nouns, black magic is a hypernym of Satanism; that is, black magic is a word with a broader meaning than Satanism:

Satanism: a belief in and reverence for devils (especially Satan)
black magic: the belief in magical spells that harness occult forces or evil spirits to produce unnatural effects in the world

Other hypernyms of Satanism include black art, necromancy, sorcery.

Satanism (noun)	black magic (noun)
a belief in and reverence for devils (especially Satan)	the belief in magical spells that harness occult forces or evil spirits to produce unnatural effects in the world