commonality vs social class

commonality and social class both are nouns.

Word	Noun	Adjective	Verb	Adverb
commonality	Yes	No	No	No
social class	Yes	No	No	No

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

commonality: a class composed of persons lacking clerical or noble rank
social class: people having the same social, economic, or educational status

Other hypernyms of commonality include class, socio-economic class, stratum.

commonality (noun)	social class (noun)
sharing of common attributes	people having the same social, economic, or educational status
a class composed of persons lacking clerical or noble rank