The classification you refer to for CE marking is the Risk classification.

Class 1 is low risk
Class 2a is medium risk
Class 2b is medium risk
Class 3 is high risk

Which class a manufacturer puts its equip in depends criteria set out in the MDD. You may recall that MDA sent all trusts a disk with a program called Classify, this enables users to determine which class a piece of equip falls into. Unfortunately I misplaced my disk years ago but somebody might still have it. Failing that it is not too difficult to workout the class using the MDD or the CE bulletins on the MDA website. Hope this helps.