Clan Size?

How large is a yazirian clan? In a society where the clan is responsible for societal institutions you require a large size to support some of those like universities. Plus with an end to the clan wars and population numbers reaching critical mass some clans can number in the 100,000s. My feeling is that in the time frame of the setting small clans number in the 10,000s and large one in the 100,000s. There is of course room for miniscule clans only numbering 200.