Changing the name of a Device Group

I'm just doing some housekeeping on some of our scripts, and I noticed a while a go that 1 of our pairs has a different name for the Sync-Failover group. It doesn't appear possible to change this in the GUI, so I wondered if I could update it in the bigip_base.conf and then reload it manually?

Or do I have to take them out of the current group, create another group and do it that way?

Thanks,

Anthony