athenaeum vs social club

athenaeum and social club both are nouns.

Word	Noun	Adjective	Verb	Adverb
athenaeum	Yes	No	No	No
social club	Yes	No	No	No

As nouns, social club is a hypernym of athenaeum; that is, social club is a word with a broader meaning than athenaeum:

athenaeum: a literary or scientific association for the promotion of learning
social club: a formal association of people with similar interests

Other hypernyms of athenaeum include club, gild, guild, lodge, order, society.

athenaeum (noun)	social club (noun)
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