✓ Accepted answer
This is hardly possible at the moment, there are no in-game API's either to allow this. The only current way is to make your own web API that redirects the requests to the roblox groups API:
https://groups.roblox.com/docs#!/v1
However Roblox doesn't even expose a proper authentication API so you have to manually pass the .ROBLOSECURITY cookie of your own account. You can fetch that in the developer console in the cookies.
Be wary of this however, if your cookie gets exposed others can use the cookie to perform actions on behalf of your account, therefore it is recommended that you make an alternate account for the management of the group so if that account is compromised you at least don't put your own account at risk.
1 comment
Thanks