society vs atheneum

society and atheneum both are nouns.

Word	Noun	Adjective	Verb	Adverb
society	Yes	No	No	No
atheneum	Yes	No	No	No

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

society: a formal association of people with similar interests
atheneum: a literary or scientific association for the promotion of learning

society (noun)	atheneum (noun)
an extended social group having a distinctive cultural and economic organization	a place where reading materials are available
a formal association of people with similar interests	a literary or scientific association for the promotion of learning
the fashionable elite
the state of being with someone