Changing your group name is easy, and can be done from Faithlife.com as long as you are an administrator of your group. To get started, navigate to Faithlife.com and sign in. Once you are signed in, select your group on the left side of the screen.
Clicking the gear icon will take you to the Group settings page. Here you can change certain aspects of your group, including the name. Place your cursor in the Group name text box and change the group name to the desired name.