If your pay group has an enabled integration, you will not be able to edit the pay group name or add a new pay group.
When accessing your pay groups you will see a notice stating you 'Cannot create a new pay group while integration is enabled'
If you select the 'Edit' option note the 
icon next to the Pay Group name indicating the 'Pay group Name cannot be updated while an integration is enabled'
If you need to change your pay group name or add a new integration please contact us at voyaaba@vestwell.com