Enterprise Admins group is a group that appears only in the forest root domain controller and members of this group have full administrative control on all domains that are in your forest.

Domain Admins group is a group that is present in each domain. Members of this group have a full administrative control on the domain.

     Enterprise Administration

    Administering the AD Schema (Schema Admins is technically the only thing     required...)
    Creating Certificate Authority (Root and Issuing)
    Managing Certificate Templates (Default or otherwise)
    DHCP Authorization
    Forest trust relationships
    Forest Preparation and Functional Level management
    Global Sites and Services Management and administration (for all domains)
    Creation of Sites & Site-Links
    Creation of IP Subnets
    Terminal Services Licensing
    Creation and Destruction of Domains
    FSMO Role Seizure (Domain Naming, Schema)
    [Schema only needs schema admins...]
    Global Domain Controller Replication Management
    Global Domain Management
    Global Group Policy Management
    Global Administrative Control for All Domain users and computers
    Take ownership of all forest and domain resources

    Domain Administration

1. **CAUTION** - By default, Domain Admins in the Root Domain can make themselves Enterprise Admins
   Domain / DC Group Policy Management
   Domain user and computer administration
   Delegation of rights within Domain
   FSMO Role Seizure (RID, PDC, Infrastructure)
   Domain Controller Installation (DCPROMO)
   Domain Controller Recovery (DRM)
   Domain Controller Replication Management
   Sites and Services Management for Domain level Controllers (Replication & Global Catalog)
   Enterprise Domain Services (SCOM, SCCM) (System Container Modification)
   Creation of Organizational Units and other AD objects in Domain
   Domain Preparation and Function Level Management
   Creation of domain level DFS Namespaces

Enterprise Admins VS Domain Admins