Complex sentence: The AFC (in full the French Association of the Cinematographic photography directors) is not a labor-union but a non-profit organization based on the 1901 French law (equivalent to the Belgian asbl).
Split into simpler sentences: The AFC (in full the French Association of the Cinematographic photography directors) is not a labor-union. It is a non-profit organization based on the 1901 French law (equivalent to the Belgian asbl).