Final answer:
Native American societies, specifically those that are matrilineal, have traditionally had matriarchal family structures.
Step-by-step explanation:
The cultural group that has traditionally been the subject of a matriarchal family structure is Native American societies, specifically those that are matrilineal. In these societies, inheritance and family ties are traced through women, and women often hold leadership roles within the tribe. However, it's important to note that even in matrilineal societies, men usually hold leadership positions in religious and political activities.