executive vs establishment

executive and establishment both are nouns.

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

As nouns, establishment is a hypernym of executive; that is, establishment is a word with a broader meaning than executive:

executive: persons who administer the law
establishment: the persons (or committees or departments etc.) who make up a body for the purpose of administering something

Other hypernyms of executive include administration, brass, governance, governing body, organisation, organization.

executive (noun)	establishment (noun)
persons who administer the law	the act of forming or establishing something
a person responsible for the administration of a business	a public or private structure (business or governmental or educational) including buildings and equipment for business or residence
someone who manages a government agency or department	the cognitive process of establishing a valid proof
	an organization founded and united for a specific purpose
	any large organization
	the persons (or committees or departments etc.) who make up a body for the purpose of administering something
	(ecology) the process by which a plant or animal becomes established in a new habitat

executive (adjective)	establishment (adjective)
having the function of carrying out plans or orders etc.