This works in a tier system, so all tier 1 [A] groups probably would draw or barely win against each other, but win against all groups below. all tier 2 [B] groups would lose to tier 1 [A] groups but likely win to all the groups below, etc, etc.
Also, there's some gaps because this was from the category groups and I was too lazy to make it detailed.
[OP] A - Order-66, P.E.A and Task Forces, O7.
B - Backroom Colonists and Colonies, M.E.G, Commercium, Kriegassociation, Chinese Authority, New Roman Empire of The Backrooms,
C - The Enscar, The Insurgency,
[Average] D - Wandering Traders, The Safezone, The Painters, K.I.T.E, S.E.I.D, The Builders, Church of Tiana [At The Time], The Gem Traders,
E - Last Man Battalion,
[Sucks a Lot] F - Nothing Really