Its actions include the usual old-school labor actions, i.e. ship-workers and sailors blocking ports. The party has no loose canons and has a horror of things getting out of control. No police officers worry about attending a KKE demonstration. Ever.

Yesterday, they left the shipyards, but were still peaceful:

Greece gets EU, IMF thumbs up for next aid tranche | Europe | Deutsche Welle | 04.06.2011

Earlier in the day, protesters from Greece's communist-leaning PAME party draped a five-storey banner from the roof of the finance ministry in Athens calling for public sector strikes. Unions have vowed to strike against austerity measures.