As above. The car can be either CL500 (non-AMG), or CL55/CL63 (AMG), but not both....
The confusion arises because some people just stick an AMG badge on their car, but also because Mercedes Benz offer AMG-designed trim-bits on their non-AMG cars.
So so you could (for example) buy a CL500 (non-AMG), fitted with AMG wheels. The wheels will say 'AMG'. But the car isn't an AMG... confusing indeed.