http://en.wikipedia.org/wiki/Mosuo
The Mosuo culture is frequently described as matriarchal.[1] The Mosuo themselves often use this description which they believe increases interest in their culture and thus attracts tourism. The term matrilineal is sometimes used, and, while more accurate, still doesn't reflect the full complexity of their social organization. In fact, it is not easy to categorize Mosuo culture within traditional Western definitions. They have aspects of a matriarchal culture: women are often the head of the house, inheritance is through the female line, and women make business decisions. However, unlike a true matriarchy, political power tends to be in the hands of males.[2]
And :
http://en.wikipedia.org/wiki/Mosuo_women
Plenty more on the subject for the courageous.
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