Here´s map of french partition, part of my nazi occultists project (I should find some cool title for it
)
(and there is basemap, not my work
http://www.hist-geo.co.uk/france/)
Neustria is attempt to "re-germanize" land of Franks and to get rid it of all this bad roman and jewish influence and decadence. Bretagne is, with exception of lot of bases for luftwaffe and kriegsmarine, and some minor SS activities, mostly leaved alone, as long as it behaves as good little puppet.
Aquitania is dumping ground for those, who are not aryan enough to live in Neustria or to settle east. There are some attempt to build some kind of Aquitaine or "better france" identity, based on antisemitism, anticlericalism and some reminiscence on Huguenots, but these efforts are week and Aquitaine stays defacto occupied territory under pretty harsh police regime with lot of partisan activity and terrorism here and there (yeah, Vendee riots are back!).
Gascony is bigger succes, not too disimilar to case of Bretagne (even if efforts make inhabitants considered themselves as Basques and/or descendants of Goths aren´t too successful for now). Gascony is used as base for various Basque and Spanish opposition organization for case of conflict with Spain.
Finally Occitania, stuck between Germanic and Latin Europe, is the most independent part of former France. There is sort of some "cathar revival" also.
Lands around Rhone (marked by number) are disputed between Italy and SS-Burgundy. Southern part is occupied by italian, northwestern SS or german and northeastern by combined troops (Italians on east, German on west).