This game is particularly vague in the deductions we can draw from it. I went through it just now to see what I could really squeeze out, and as it turns out.. there isn't much. This is fine though as many grouping games are like this. We just need to be prepared to react to the questions a bit faster and with an eye for different possibilities that we may not have predicted.
However, this should be three groups, each with three layers. We are given 6 variables. 2 pairs of which cannot be placed together. We know that one variable will go in all three groups.
Since F/G and H/I battle it out, none of these four can be the variable to go in all three groups. This means it is either M or P that is able to. This way, we can deduce that there are really only two master scenarios (one with M in all 3 and the other with P in all 3). For whichever scenario we are in, the other of M/P will be able to do what it wants (other than go three times) and the conflicting variable pairs still conflict (F/G and H/I).
The rest of this game is truly wide open and can be played around with pretty heavily. Many options to explore.
I hope this helps. Please let me know if you have any other questions!