The last tap mentioned, a 1 1/2-56. Are you saying 1 1/2", or screw size 1 1/2?
If you're saying a 1 1/2", it sounds like one of the many weird size threads used (formerly ?) in the plumbing faucet industry. There seem to be lots and lots of different thread sizes used by different faucet manufacturers. Suspect that the original idea was to force the consumer to use only replacement parts from only one supplier. There seem to be about 30 different thread sizes used for aerators alone.
I have a nice brass plate, drilled and tapped with 24 different thread sizes, sold to plumbers so they can check thread sizes of aerators. I've never had occasion to use it. Might have to incorporate it into an engine build.
Tom