There are a few options.
For example, if we call it the Great Gods Battle Team, we can name it Zeus, Hades, Poseidon, Athena, Apollo, etc. side by side
For example, if we call it the East Factory Battle Team; we can name it East Factory Jin Yi Wei, East Factory Jin a, East Factory Tight Bit, etc. and similar names
For example, if we call it the I'm a Hooligan Battle Team, we can call it Kick the Widow's Door at Night, Crotch with a Killing Spirit
After all, the name of the battlegroup has to be linked to the names of the players in order to be fun. It's too hard to make a splash with a battle team name alone