Who should have control over the state apparatus?

Anarchists;: no one, the state should be abolished.

Communists; the workers should take control over the state and use it to make itself unnecessary, so that the state withers away.

Capitalists: the oligarchy should have more power over the state and things should continue to function as they are.

Anarchists believe that once the state is abolished socialism will naturally develope on its own.

Communists believe that once socialism is established the state will naturally wither away because it's no longer necessary.

Capitalists believe that the oligarchy should have total control over our lives and use the state to enforce their monopolies over society, to prevent socialism.

This is a really over simplified explanation but it's oversimplified because the average person seems to be too damn stupid to understand the basic differences between these ideologies