patriarchy vs social system

patriarchy and social system both are nouns.

Word	Noun	Adjective	Verb	Adverb
patriarchy	Yes	No	No	No
social system	Yes	No	No	No

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

patriarchy: a form of social organization in which a male is the family head and title is traced through the male line
social system: the people in a society considered as a system organized by a characteristic pattern of relationships

Other hypernyms of patriarchy include social organisation, social organization, social structure, structure.

patriarchy (noun)	social system (noun)
a form of social organization in which a male is the family head and title is traced through the male line	the people in a society considered as a system organized by a characteristic pattern of relationships