How to assign an different SSL certificate for the IIS7+ Management Service on Server-Core?

When installing the Management service for IIS7+ a self-signed SSL certificate is created and assigned, it has the name 'WMSvc-ComputerName'.

In the GUI version I can change this to a different 'proper' certificate installed on the server, so it is trusted by remote clients.

The GUI module for the Management Service is not available when connecting to the server remotely.

So I need to change it using the command line on the server itself. How do I do this?

Solution in PowerShell:, (thanks to Mathias R. Jessen)

# get the thumbprint for the certificate we want to use:
$thumb = (Get-ChildItem cert:\LocalMachine\MY | where-object { $_.FriendlyName -eq   "www.stackoverflow.com" } | Select-Object -First 1).Thumbprint
# get a new guid:
$guid = [guid]::NewGuid()

# remove the self-signed certificate:
& netsh http delete sslcert ipport=0.0.0.0:8172
# add the 'proper' certificate:
& netsh http add sslcert ipport=0.0.0.0:8172 certhash=$thumb appid=`{$guid`}