I can not tell the difference in hierarchy, groupings, or behavior between the ignitus and dispars in my tank. They mix together so well, that I really have a hard time figuring out how many I have of each.
I've been told that carberryi anthias group well together with ignitus and dispars. I find them to be more aggressive. I added 3 females to my group of ~25 dispars/ignitus. They all turned male, with the two largest chasing the 3rd out of the tank (jumped out to his doom right before my eyes). Now the two carberryi males split the harem in two uneven groups (about 6 in one, and the rest in the other) and do not fight. They constantly fight with my lone dispar male however, who has now suddenly lost all social standing in my tank.
So I guess different people have different experiences. Mine would be ignitus and dispars working well together with carberryis being rather aggressive (but still manageable with the rest of the anthias).
Interestingly enough, my evansi anthias seem to not have any standing in the group. They swim together with the rest of the anthias, but the carberryi do not seem to care to exhibit any dominance over them (unlike their behavior towards the female ignitus and dispars), nor do the evansi seem to want to fight amongst themselves or the other anthias.