LH groups could keep a few L6+ perks like the group job or the group title as a reward for years spent here on the server.By the way, TSF hasn't been an LH group for years, they have resigned as LH.No, if your group resigns as an official group, you should also lose access to the titles since it's a perk for official groups.
GLM and I discussed about your case and decided to keep you as permanent L5 group with their special job and space in Tab panel. This only because the group is here since 2012 and it's basically a milestone for CIT.