establishment vs authorities

establishment and authorities both are nouns.

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

establishment (noun)	authorities (noun)
the act of forming or establishing something	the organization that is the governing authority of a political unit
a public or private structure (business or governmental or educational) including buildings and equipment for business or residence
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