Matrix Parenting or Global Transform Another animation nodes and Matrix related question.

I have this setup of circular formation of objects. I use Matrix Combine to set this up, and then I group it.

Now, I just want a simple Matrix Transformation that will transform the setup as a whole. I cannot do that. I wonder how to do this simple parenting.

I tried Matrix Math, but it is not working. Especially with rotation, I cannot easily rotate just the whole thing.
The Replicate Matrices Node can be used, for instance, I can replicate a group of circularly distributed matrices on another group of circularly distributed matrices as follows:



This can be understood by viewing both inputs. You see that the blue matrices were copied and transformed to each of the green matrices: