It may be some specific kind of capitalism, because the private property still exists. But I am puzzled by the absence of the democracy, free press, multiple parties, democratic elections - something that I used to see as important parts of the capitalistic society.
It is definitely not communism and not socialism either as these do not tolerate the private property of any kind, leave alone the mighty oligarchs. Saying it is a feudalism would probably be also way too much. Does this order of society have some name I could google for and find some scientific analysis of it? If it is just some specific form of capitalism, what is the standard name of it?