Squadron WWI T-shirt

An escadron (the French word for squadron) is another word for a cavalry division. For a long time, an escadron corresponded to a battalion, uniting several companies. Since the mid 20th century, an escadron has been the equivalent of a single company (typicall 13-tank strong). In the cavalry (now called the "mounted arm") a captain (3 galons, or braids) commands an escadron (what would be a "company" in the infantry) and is thus called a chef d'escadron (with escadron in the singular). However, his superior in the hierarchy (4 galons) commands 2 escadrons and is thus called chef d'escadrons (with escadron in the plural). There are 2 exceptions - in the Gendarmerie and Artillerie (both accounted mounted arms), such a commander (again with 4 galons) is a chef d'escadron (singular).