Sharepoint - Deleted SP group can't be recreated

Cause: There is different way to delete permission group, mistakenly I have deleted the group from "Permission Tool->Remove user permissions" which shows permission group deleted but it still doesn't allow creating a new group with the same name

Cause/Solution-> Deleting group from "permission Tool-> remove user permissions" doesn't delete the group if you have taken above approach then go to following location and delete all the earlier groups and try to create once again

Url: http:///_layouts/groups.aspx

Or follow following navigation: Site Settings -> (Users and Permissions) -> People and groups -> Click on "Groups" from left navigation

ideal way to delete group permanently from site collection-> "Click on Permission group-> Setting-> Group setting -> Delete"

Issue:

The site owner deleted the Out of the Box Visitors group for his site. When I attempted to create it, it said it already existed and it’s not in the Recycle Bin.

Solution:

When you go to groups.aspx you can see the Visitor Group but when you go to user.aspx you cannot see it. (check your URL when you click on site permissions) From the user.aspx page click "Grant Permissions". On the input screen to type in a user, instead type in the deleted group "MySiteName Visitors" and grant them "Read"