chief vs executive

chief and executive both are nouns.

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

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

chief (noun)	executive (noun)
a person who is in charge	persons who administer the law
a person who exercises control over workers	a person responsible for the administration of a business
the head of a tribe or clan	someone who manages a government agency or department

chief (adjective)	executive (adjective)
most important element	having the function of carrying out plans or orders etc.