Then it is this
An oligarchy (Greek Ὀλιγαρχία, Oligarkhía) (oligocracy) is a form of government in which power effectively rests with a small elite segment of society distinguished by royal, wealth, intellectual, family, military, or religious hegemony. The word oligarchy is from the Greek words for "few" (ὀλίγος olígos) and "rule" (ἀρχή arkhē). Such states are often controlled by politically powerful families whose children are heavily conditioned and mentored to be heirs of the power of the oligarchy. Therefore China would be a communist oligarchy style of governmen