Unfortunately, it is indeed a private group—as it says so in the image, as well.
Wow, I didn't see that. I thought since I was able to click on the link and join the group without waiting for an approval, that it was an open group. Quote
Publics would have better visibility and much easier for people to join. But they could always change it.
Yes, public group gives better visibility and it is easier to convert a member into loyal casino player. I believe they would change it.