Complex sentence: Under the postwar United States Air Force, the group was the operational component of the new 479th Fighter-Bomber Wing, with the 479th's three old World War II squadrons, along with the new 476th Fighter-Bomber/Tactical Fighter Squadron, assigned.
Split into simpler sentences: Under the postwar United States Air Force, the group was the operational component of the new 479th Fighter-Bomber Wing. The 479th's three old World War II squadrons were retained and a new squadron, the 476th Fighter-Bomber/Tactical Fighter Squadron, assigned.