@ads-see, thanks for the suggestion, but the twiddle factors in that link are much different than the ones I'm looking for. For that matter, I have look extensively at a lot of documentation online about twiddle factors but have not found the answer I'm looking for.
All documentation, including the one you present, shows the twiddle factors where the number of inputs N is the same as the number of channels (that specific link has N=8). Finding the twiddle factors for that case I am quite aware of and have no problem with.
My question is how the twiddle factors change when N is much greater than the channels. In other words, after another iteration of 8 inputs. I did indeed post two pictures in my original question which are the same as what you provided me, so I am aware of those twiddle factors. What I don't know is how the exponent (or k value) changes after each set of 8 inputs.
Does that make sense? Looking at the difference between the signal flow diagram I made (the blue picture) and other pictures of butterfly diagrams will perhaps make it more clear that what I am trying to do is a modification of what most people are doing, and my twiddle factors change after each iteration of inputs unlike most schemes.