First of all, there are a number of ways in which this "punishment" is carried out on drivers without being found guilty. The defense bar runs into it all the time unfortunately.
Without more facts it's hard to give you an exact answer, but here's some information:
The laws in California require a person to obtain a California Driver's License within 10 days of becoming a resident.
Even if you don't have a CA driver's license, whenever something happens to you in a car in CA, they will create a CDL number that matches you. That license (that you've never acquired), can be suspended as a result of many violations, infractions, failures to pay, register, etc.
Having said that, it's possible that a mistake was made. For a non-attorney to contact any officer is near impossible. Your best bet would be to discuss the matter with the watch commander at your local police station.
I imagine your car is back in your possession by now, but I'd be happy to discuss with you if not.