Folder permissions

I’m trying to set up a folder in the c: of our W2K server that allows administrators to have full control and read access for all other users. I’ve given the ADMINISTRATORS full control and the EVERYONE group read access – I am not able to create, delete, rename folders under the administrator account even though it has full control. Is this because ADMINISTRATORS come under the EVERYONE group? If so, how can I get around this without adding in and setting permissions for each individual user account? How can I remove the administrators account from the everyone group? Please advise.