I have taken a few apart but not dozens. There may be a way (usually there is

) in which you can do more damage by trying to remove in-place. In that case, I would remove the base ( two M4 screws - watch out for the two o-rings) and soak the entire unit in very hot water.
Clamp the base in a vise and try with the correct 6 point socket. These hexes can take either metric or english depending on the brand.