If I recall correctly your 404s are issued by your unit or the local base transport section. If you change units your 404s are turned in at your out clearance and re issued at your new unit. Your 416 is your driving record and lists all the vehicles you are qualified to operate. If you are qualified to operate a vehicle that your current unit does not hold they might not list it on your 404s but it will still show up on your 416.
