social club vs society

social club and society both are nouns.

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

As nouns, social club and society are synonyms defined as:

social club and society: a formal association of people with similar interests

Other synonyms of social club include club, gild, guild, lodge, order.

social club (noun)	society (noun)
a formal association of people with similar interests	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