fraternity vs society

fraternity and society both are nouns.

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

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

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

fraternity (noun)	society (noun)
people engaged in a particular occupation	an extended social group having a distinctive cultural and economic organization
a social club for male undergraduates	a formal association of people with similar interests
	the fashionable elite
	the state of being with someone