Matriarchy

Pronunciation:/ˈmātrēˌärkē, /
definition of matriarchy from Oxford Dictionaries Online
noun (plural matriarchies)

• a system of society or government ruled by a woman or women.
• a form of social organization in which descent and relationship are reckoned through the female line.
• the state of being an older, powerful woman in a family or group:she cherished a dream of matriarchy — catered to by grandchildren