How many private airlines are there in China?

Airlines directly under China Civil Aviation:

China International Airlines (headquartered in Beijing), China Southern Airlines Group (headquartered in Guangzhou), China Eastern Airlines Group (headquartered in Shanghai), Xiamen Airlines Co., Ltd. (headquartered in Xiamen), Air China Southwest Company (Southwest China Airlines), China Southern Airlines Xinjiang Company (China Xinjiang Airlines), China Southern Airlines North Branch (China Northern Airlines), China Eastern Airlines Yunnan Company (China Yunnan Airlines), Great Wall Airlines.