I assume you're asking about flight organization vice ground but just quick the major squadron departments are Operations, Maintenance, Admin and Safety.
Navy squadrons do not have a ridged organization in flight because, unlike ground based units, we were driven by the ship's flight schedule and, to a very large degree, pilot proficiency (day/night trap requirements). Each F-14 squadron for instance would typically launch two F-14's per cycle on day-to-day operations so you wouldn't usually have large numbers of your own squadron flying at the same time. Our basic air organization is the Section (2 aircraft) as this is what your typically had airborne and it's the basic fighting unit. Two Sections together make a Division but we typically did not structure the flight schedule around Divisions unless it was a major strike. Think of a Division as being two sections working in concert with each other rather than a fixed organization with the same guys all the time.
Major aircrew squadron qualifications are Section Lead, Division Lead and Mission Commander. The top Airwing qual is Strike Lead. Section and Division leads are pilot quals and directly relate to coordinated flight of 2 and 4 plane groups (usually similar aircraft in the same squadron). Mission Commanders were either pilots or RIOs and the MC's responsibility was the conduct and success of the mission itself, again, usually within a single squadron.
Since a Division is made of two Sections it would have two Section Leads and one of these would have to be a qualified Division Lead and responsible for maneuvering the division. A Division would have a MC, usually the the senior MC qualified guy in the flight (either a pilot or RIO). The MC would be responsible for mission success and be the overall man in charge. He would be the guy to design, brief and lead the mission.
A Strike Leader is similar to a Mission Commander but would be in charge of larger missions such as an Alpha strike package using all of the assets of the Airwing.
It could have varied within different squadrons or airwings but we had no common terms to identify specific sections and divisions, i.e., we didn't have set callsigns for these such as Red Flight, however, these types of names could be assigned for comm brevity on larger strikes or per the ATO (Air Tasking Order). The mud movers could be called "Hammer", the EA-6B "Zap" and the fighters "Sting" for instance but this was never set at the squadron level.
That help?
