Eine Karte, die die Verwaltungsgliederung Frankreichs darstellt

Are they all part of the EU and Schengen too?

These are not the administrative divisions of France. First order administrative divisions of France are regions, so you need to show the regions of Metropolitan France as well. Some of the territories shown are « départements d’outre mer » équivalent to the departments in Metropolitan France which are also not shown. In summary, this is a mishmash.

“The sun never sets on the French Empire”

britain was able to destroy spains empire and take over dutch but they couldnt with france