Agree, portobello, but occassionally in recipes the really big ones are referred to as field mushrooms, which is strictly speaking wrong - they are only field mushrooms if you find them growing in a field, not cultivated!
As well as white button mushrooms (champignons de Paris) we have chestnut mushrooms which are usually just a little chunkier, darker, and more strongly flavoured: these are my default mushroom. I think you have them in the US too, as I had a recipe that needed them recently.