Since Corillion 1957, there has been a new publication in french from Corillion 1975
Corillion R., 1975 - Flore et végétation du Massif Armoricain.T. IV. Flore des Charophytes (Characées) du Massif Armoricain et des contrées voisines d'Europe occidentale.Jouve ed., Paris. 216 p.
But you also have
Cirujano S., Cambra J., Sânchez Castillo P.M., Meco A. & Flor Arnau N., 2007 - Flora ibérica. Algas continentales. Carôfitos (Characeae). Pieal Jardin Botânico de
If you want, you can download 3 files about characeae on my RG profile, identification criteria and macro-microphoto of characeae. It's in french but you have latin name for all species.
Warning : We have to reconsider the identification of Chara hispida in chara polyacantha.