sorority vs social club

sorority and social club both are nouns.

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

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

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

sorority (noun)	social club (noun)
a social club for female undergraduates	a formal association of people with similar interests