A wise move for the Socialists would be to put Strauss-Kahn in charge, as he would get support from the Centrists. As for the extreme-left, it has shrunk to the point it doesn’t really matter anymore how they vote, as long as they don’t vote for the Right.
The PCF toed the Stalinist party-line more closely than any other Communist party-with the exception of the CPUSA-when other EuroCommunists, like the PCI or the ones in Spain, were actually expressing doubts about the wisdom of totalistic Bolshevism.
The Greens are just a libertine, more Trotskyite version of the Communists, IMO.
These idiots should be working sugar cane fields, not trying to influence government policies, which I suppose is one of the limitations of bourgeois democracy.