Altering the "Who can view the membership of the group?" setting of a group through CSOM or Web Services (2010)

I was wondering if it's possible to alter a group's Who can view the membership of the group? setting from Group Members to Everyone through CSOM or through SP's web services.

Right now I am creating a group using the AddGroup web service, but I can't seem to find any documentation on altering this setting. Any ideas?