Lemme see, not too many groups took names over the years, but true to type, all were a bit odd...
The Bastard Squad
The Questers for Swords
Motorhead plc
Nemesis
Hell's Angels
The Next Generation
The Timelords
Tsunami
The Red Kank Front.
My new group hasn't chosen a name yet and I don't know if they will bother. Still, seeing as nobody has named their character Binky or Melons or Tracheotomy, I might be lucky enough to end up with a sensible, atmospheric group name if they decide to do so. Wait, who am I kidding here?