Here is a typical, world war 2 era appointment by rank for the United States army. Again, as stated earlier, officers of lower ranks than these often held these assignments due to combat attrition.
army group (lt. general, general)
army (lt. general)
corps (maj. general)
division (maj. general)
combat command of armored div. (brig. general)
regiment (colonel)
battalion (lt. colonel)
company (captain)
platoon (1st and 2nd Lt.)