The political faction in the Roman republic most closely associated with advocacy for unfettered rule by Rome's plutocrats was the Optimates (in that form both an English and a Latin word). Literally it means “the best, the noblest.”
Now, haud dolo dicam, that's not strictly true. For one, the Optimates were not a political faction in the modern sense. (They certainly did not hold an Annual General Meeting.) It may have been more like an inclination, on the part of certain individuals, to exclude the popular assemblies from political decisions. Also, the ruling classes in Rome are generally considered an aristocracy, not a plutocracy. But I feel the historical details may not be that important. Your group may still call themselves the Optimates, which is certainly self-flattering and does carry a sense of keeping things in the family.
(In case you are wondering, their opponents were called the Populares, and of course they were the same rich aristocrats, only in that case individuals who decided it would serve their personal political fortunes better to let the popular assemblies make a decision or two at times.)