To start you will need to click on the group that you would like to edit.
Once you click on the group you want you will be taken to the group overview page. From there you can click on the edit button that looks like a little pencil up in the top right corner.
You will then be taken to the page that will allow you to make changes to the group such as its name, description, the keyword and automated reply type.
Don't forget to hit save when you are done!