The PRC commands the heights of the economy. The most important point, is that capital is deliberately permitted and restricted, only allowed in some sectors, and not allowed to rise above the state or organize as a class, as in capitalist states:

The backbone of the economy is state ownership and socialist planning. 24 / 25 of the top revenue companies are state-owned and planned. 70% of the top 500 companies are State-owned. 1, 2 The largest bank, construction, electricity, and energy companies in the world, are CPC controlled entities, subject to the 5 year plans laid out by the central committee.
Workplace democracy in action in the CPC.
Is modern day china communist? Is it staying true to communist values?
Didn't China go Capitalist with Deng Xiaoping? Didn't it liberalize its economy? Is China's drastic decrease in poverty a result of the increase in free market capitalist policies?
Is the CPC committed to communism?
The Long Game and Its Contradictions. Audiobook
The myth of Chinese state capitalism. Did Deng really betray Chinese socialism?