Even though my new Woll pans say they can be put in the dishwasher, I would not do this.
I have on occasion put cheaper stainless steel pots in the dishwasher but this is generally when they are not dirty and I have boiled an egg or similar in them.
It does not seem to do any harm to stainless steel, however I have changed most of my pots to the Woll brand which have detachable handles and are terrific.
Dishwashers do not generally clean cooked on dirt off pots anyway.