[baq]

it'd be helpful to explain what far right and far left mean in the context of France, as I doubt it's the same thing as in e.g. USA.

[Totoradio]

Far left would be anarchists, black-blocs, and a few communists in there too.

Far right would be openly pro-nazi, or Vichy nostalgic small organizations like Oeuvre Française and other dissolved and then formed again groups. Add unaffiliated fascist skinheads in the mix.

Then again, almost every nuance of the spectrum between those two is represented in the protesters.