country club vs society

country club and society both are nouns.

Word	Noun	Adjective	Verb	Adverb
country club	Yes	No	No	No
society	Yes	No	No	No

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

Other hypernyms of country club include club, gild, guild, lodge, order, social club.

country club (noun)	society (noun)
a suburban club for recreation and socializing	an extended social group having a distinctive cultural and economic organization
	a formal association of people with similar interests
	the fashionable elite
	the state of being with someone