i want to add a dmoain security group to the local admin group of client machines

I followed the steps mentioned here

http://social.technet.microsoft.com/wiki/contents/articles/7833.how-to-make-domain-user-as-a-local-administrator-for-all-pcs.aspx

also here

http://www.youtube.com/watch?v=G7ROD2pgXd4

the problem is that I can see the group added to the domain admins group, which not what I want

I want the group I created "desktop admin" to be only added to the local amdin groups on the client machines