These days the advantage of having a website for your group where you can communicate with your members is obvious.
By being part of the local fold other catholics in the area hear about your group
Private blog for members of your group included as a possibility for all groups
Your groups members enjoy access to TLF events, lectures and such.
Not all groups require a membership feature, but for those who do, it is provided for free.
If you're group wants to piut on a larger event, the Local Fold website it a good place to advertise it
Participate in yearly member drives, charity events, intramural sports (I challenge any group to a soccer game with my bookclub!), etc.
Two minds know more than one, and lots of minds are very wise indeed.
(Coming soon.) Does your group have a membership fee? Or do you need to collect money for certain event (a trip to the museum, say)? Collecting and recording payments is easy.