As far as the name is concerned, we will leave that part to your own creative juices. But what we are going to give you is a few pointers when it comes to the potential effectiveness of your group’s name.
Namely (no pun intended), the name of your Facebook group should be well-optimized in terms of search. Going with a name that is packed with keywords relevant to your niche is a must because Facebook’s search bar acts like a regular search engine. This is where the right keywords come into play – to make your group more visible to your target users.
Reference: 7 Best Practices To Skyrocket Your Facebook Group, By Branislav Bozanic, https://planable.io/blog/facebook-group-best-practices/