sorority vs society

sorority and society both are nouns.

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

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

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

sorority (noun)	society (noun)
a social club for female undergraduates	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