Group disband

[Griffin Ceawlin]

Disbanding groups

While there's no explicit mechanism for simply deleting a group while it has members, you can disband a group in which you are an owner by ejecting all the other members and making sure nobody new can join the group.

After 48 hours with a membership of one or zero, a group is disbanded automatically.

Note: Once you disband a group, you cannot recreate it. You can create a new group, but the new group cannot use the exact same name as the dissolved group.

http://community.secondlife.com/t5/English-Knowledge-Base/Creating-managing-moderating-and-disbanding-groups/ta-p/700111#Section_.10

[Griffin Ceawlin]

Disbanding groups

While there's no explicit mechanism for simply deleting a group while it has members, you can disband a group in which you are an owner by ejecting all the other members and making sure nobody new can join the group.

After 48 hours with a membership of one or zero, a group is disbanded automatically.

Note: Once you disband a group, you cannot recreate it. You can create a new group, but the new group cannot use the exact same name as the dissolved group.

http://community.secondlife.com/t5/English-Knowledge-Base/Creating-managing-moderating-and-disbanding-groups/ta-p/700111#Section_.10

[Ansariel Hiller]

Like Griffin already said is the only way to shut down a group to eject all members so you are left as the only member. Then it will be disbanded after 48 hours automatically.