nonpatriarchal

I don't know if it's the Internet per se, but the enterprises of my generation are certainly nontraditional, nonhierarchical and nonpatriarchal.

Employee No. 5 At Yahoo 2008

Though individual, nonpatriarchal elements of society may die out, he says, societies as a whole will survive and, "through a process of cultural evolution, a set of values and norms that can roughly be described as patriarchy reemerge."

Hullabaloo 2006