A squadron was historically a cavalrysubunit, a company-sized military formation. The term is still used to refer to modern cavalry units but can also be used as a designation for other arms and services. In some countries, like Italy, the battalion-level cavalry unit is called "Squadron Group".
In the modern United States Army, a squadron is an armored cavalry, air cavalry, or other reconnaissance unit whose organizational role parallels that of a battalion and is commanded by a lieutenant colonel. Prior to the revisions in the US Army structure in the 1880s, US Cavalry regiments were divided into companies, and the battalion was an administrative designation used only in garrison. The reorganizations converted companies to troops and battalions to squadrons, and made squadrons tactical formations as well as administrative ones.
The modern French Army is composed of troupes à pied and troupes à cheval. Nowadays, the term escadron is used to describe a company of mounted soldiers but, for a long time, a cavalry escadron corresponded to an infantry battalion, both units grouping several companies. The term compagnie has been discontinued and replaced by escadron in cavalry units since 1815 and in transportation units since 1968. In the "mounted arms" a captain in charge of an escadron is thus called a chef d'escadron. However, his superior in the hierarchy has the rank of chef d'escadrons. After 1815, the army began to write chef d'escadrons with an s in cavalry units to reflect the fact that this officer who used to be in charge of one squadron was now in charge of several squadrons. In other mounted branches, chef d'escadron is still spelled without s.
Norway
The Norwegian army operates with units called eskadroner, typically a company-equivalent unit, generally in armoured cavalry units although not always. The 2nd Battalion, Brigade Nord, has a company-equivalent unit called kavalerieskadronen, or "the cavalry squadron". It serves as the main reconnaissance unit in the battalion. Like the mechanized infantry units, it wears the distinct khaki-coloured beret of the battalion instead of the normal black for cavalry units. The Armoured Battalion has the majority of its constituents labeled eskadroner. Including the Cavalry Squadron, the Armoured Squadron and the Assault Squadrons. It also includes the battalion's Support element, the Combat Support Squadron. Its members are also referred to as dragoons, reflecting the nature of the unit. The Telemark Battalion also has a number of units labelled eskadroner. This includes the Armoured Squadron, the Cavalry Squadron and the Combat Support Squadron. Kampeskadronen , a Squadron consisting of two Mechanized Infantry Platoons, mounted on CV90's, one Armoured Platoon with Leopard 2's and a Combat Service Support Unit. Its soldiers were referred to as dragoons and consisted mostly of conscripted troops. Used as OPFOR in exercise operations with other parts of the Norwegian Army.
Poland
Squadron was used exclusively for companies of cavalry and armoured cavalry before 1948. After 1948, the name has been used for the armored formations of varying sizes.
Russia
In Russian cavalry a squadron was named eskadron and was a company-size unit, with 120-150 horses.