They are not hard-coded into our ID, so they will vary. For instance, when I was setting up my character hostile to Corsairs, I shot up their NPCs and as a result OC went green without me noticing. On the other hand my Order rep (we are allies) went red. So, I had to go shoot up some BHG ships to get my Order to at least neutral. The result of that? My Corsair rep went back to neutral.
It is a faction rule to always at least turn any NPCs in the area of the people you are shooting hostile. Unfortunately, due to silly game mechanics, managing our reps on all our ships is a huge responsibility and we try to do it as much as we can. Sadly, game mechanics make it difficult.