That's pretty much it, yes! I'm not 100% sure about the German part, because they are are part of Wallonia (which is the southern part) but do have their own language representation so I'm not actually sure which government manages their curriculum.

The German-speaking part isn't shown on the map, probably because it is too small or the map maker got confused with our amazing organization.

There's also the region of Brussels, which is separate of Flanders and Wallonia, and officially bilingual french / dutch. They sort of tried to represent it on the map, but I have no idea what they tried to do there.

It is a clusterfuck, really.