chief vs supervisor

chief and supervisor both are nouns.

Word	Noun	Adjective	Verb	Adverb
chief	Yes	Yes	No	No
supervisor	Yes	No	No	No

As nouns, supervisor is a hypernym of chief; that is, supervisor is a word with a broader meaning than chief:

Other hypernyms of chief include adult male, man.

chief (noun)	supervisor (noun)
a person who is in charge	a program that controls the execution of other programs
a person who exercises control over workers	one who supervises or has charge and direction of
the head of a tribe or clan

chief (adjective)	supervisor (adjective)
most important element