The RHCE exam objectives can be grouped into system configuration and management and network services. For system configuration, candidates should be able to accomplish tasks like routing IP traffic, configuring firewalls and NAT, modifying kernel parameters, configuring authentication using Kerberos, mounting iSCSI targets, and automating system maintenance. For network services, candidates should be able to install, configure, secure, and test services like HTTP, DNS, FTP, NFS, SMB, SMTP, and SSH. Specific objectives listed for some services include configuring virtual hosts, anonymous downloads, network shares, email forwarding, and SSH key-based authentication.