I looked up, in several different modern dictionaries, some new and old words on which, I think, we should reflect.
Patriarchy: A social organization marked by the supremacy of the father in the clan or family, the legal dependence of wives and children, and the reckoning of descent and inheritance in the male line.
Patriarchy literally means “the rule of the father.” It is a social system where men control the largest share of power and inheritance usually passes down the male line.
Matriarchy: a family, group or state governed by a woman; a system of social organization in which descent and inheritance are traced through the female line.
Matriarchy emphasizes shared power, collaboration and nurturing relationships, moving away from hierarchical dominance seen in patriarchy.
Parriarch: a term for a person (regardless of gender) who has risen to high rank in an organization or group, or who founded said........