I would say no. I have some pans where putting them in the dishwasher can void the warranty. The chemicals in dishwasher soap are different and harsher than regular dish soap, they can harm certain metals. I say play it safe.
I just got a dishwasher in my new house (haven't had one in my adult life) and the thought came to mind but I would NOT do it, it will tarnish the plating.