Bavarian Illuminati. I know the original name is パヴァリア光明結社 which is Pavaria Komyo Kessha/Enlightened Society of Pavaria, but if you're being literal with translations that's how you end up with shit like Heavenrend, and that name is indeed what the JP audience generally uses for the organization known in English speaking countries as the Bavarian Illuminati (Illuminati itself being "Enlightened" essentially).
Thanks for the comment. I wasn't sure how to translate it because, even though most subs use Bavarian Illuminati, the name was changed in Japanese so it might have been intentional. I'll take that into account and apologise for the mistake