The Communist Party is supporting the Czech coalition government. What are the implications?

Earlier this month, the Czech parliament approved a new government. For the first time since the fall of communism in 1989, the governing coalition is depending on support from the Communist Party of Bohemia and Moravia. The party's "official support" of the current national government is problematic for some Czechs. Could this symbolize the return of the Communists to power, for instance?