Is there any way to delete a group on Facebook?

[Miss Jager]

When you google my mates name the group comes up
She's not happy with it
I've tried to delete it but I can;'t find a delete button
I've made the group secret but it still comes up on google
I'm the creator so I have access to all the button etc

[Samuel Adams]

Removing a Facebook group is pretty simple. As a matter of fact, Facebook runs periodic jobs aimed to remove empty groups, and thus all you need to do is to remove all members from the groups and lastly remove yourself and other group administrators. Facebook will take care of the deletion of the group within a short period of time.

[845]

As Samuel Adams said, if you are able to delete members, you must delete ALL of the members including yourself and then, eventually, the group will be deleted by Facebook.