Unable to add user to Domain Admin group

Respected Experts,

I am a member of Account operator group in AD 2003 and 2008 domain. I assume account operators has rights to manage ID's and groups. However, when I try to add any users to any group. Like, I am trying to add user to Domain admin group. I get below error:

You don't have permission to modify this group.

Please advise, why Account operator is not allowed and what is the best way to manage group membership without giving domain admin rights.
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AmitIT ArchitectAsked:
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Toni UranjekConsultant/TrainerCommented:
Account operators can change membership of any group except Domain Admins and Administrators . This is by default.

Default groups
https://technet.microsoft.com/en-us/library/cc756898(v=ws.10).aspx

Otherwise, any Account operator could add his account to Domain Admins group and take complete control of domain.
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AmitIT ArchitectAuthor Commented:
Excellent Answer.
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