I'm using Windows 7 professional. I would like to have the "local users and groups" snap-in icon show up, when I search for search terms like "users" or "groups" or even "local users and groups".

How can I accomplish that?
I know I can get the snap-in typing lusrmgr.msc, but that is not the question.
Search for (some?) other snap-ins work fine. For instance the task scheduler:

EDIT:
I have now tested searching from 3 machines. The behavior seems to differ. One machine actually behaves as I would like. (This machine is a part of a domain - could this make a difference?). On the two other machines the "edit local users and groups" does not show up in search. Not even when searching from the control panel.

Where can I adjust the behavior of windows search?