Thanks for bringing up this request.
Currently, we have the capability to send alerts to different groups based on the severity of the monitor (Down/Trouble/Up).
However, we don't have the feature to send alerts for different services to different groups. We will add this in our road map.
Also, it would be great if you could share us the service types you are monitoring and the groups to which you would like to send alerts. This would be helpful to us in adding this enhancement.