matriarchate vs social system

matriarchate and social system both are nouns.

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

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

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

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

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