Yes there are several types of satanists. But, to be any kind of a satanist you must have a left hand path,philosophy and theirs is RHP.<quoted text>
There are thousands of Christians denominations so this satanists group plays different.
From your description sounds like a religion to me.
It sounds like a religion to you because you do not understand it. Satanism,and I'm referring to LaVeyan satanism,is classified as a religion because it has religious trappings but if you were to understand it's true meaning you would realize that it is a mockery of all religions and an empowering tool for the self.