This link below takes us to the USN official Ike link.
The Ike carries a compliment of 6,287 sailors including the air jocks and their crew.
There would probably be at least an additional few dozen civilians on board monitoring their products/services in use and helping to maintain them.
A similiar amount of tad naval personnel monitoring and learning.
For the Clancy fans/writers, there will be a half dozen Guys from the farm and that many from No Such Agency.
http://www.public.navy.mil/airfor/cvn69/Pages/FactsStats.aspx
Miscellaneous
Builder - Newport News Shipbuilding, Newport News, VA
Keel laid - Aug. 15, 1970
Launched - Oct. 11, 1975
Planned crew sized - 6,287 (includes Air Wing)
Number of anchors - 2
Weight of anchors - 60,000 lbs each
Anchor chain - 1,082 feet on each anchor (365 lbs per link)
Total anchor weight - 735,000 lbs each (includes chain)
Distillation plant capacity - 400,000 gallons
Number of light fixtures - approximately 29,000
General Characteristics, Nimitz class
Builder: Huntington Ingalls Industries Newport News Shipbuilding Co., Newport News, Va.
Date Deployed: May 3, 1975 (USS Nimitz).
Unit Cost: About $8.5 billion in constant year FY 12 dollars.
Propulsion: Two nuclear reactors, four shafts.
Length: 1,092 feet (332.8 meters).
Beam: 134 feet (40.8 meters); Flight Deck Width: 252 feet (76.8 meters).
Displacement: Approximately 97,000 tons (98,560 long tons) full load.
Speed: 30+ knots (34.5+ miles per hour).
Crew: Ship's Company: 3,000-3,200, air wing: 1,500, other: 500.
Armament: Multiple NATO Sea Sparrow, Phalanx CIWS, and Rolling Airframe Missile (RAM) mounts.
Aircraft: Approximately 60+.
Ships:
USS Nimitz (CVN 68), Everett, WA.
USS Dwight D. Eisenhower (CVN 69), Norfolk, VA.
USS Carl Vinson (CVN 70), San Diego, Calif.
USS Theodore Roosevelt (CVN 71), Norfolk, VA.
USS Abraham Lincoln (CVN 72), Norfolk, VA.
USS George Washington (CVN 73), Yokosuka, Japan
USS John C. Stennis (CVN 74), Bremerton, WA.
USS Harry S. Truman (CVN 75), Norfolk, VA.
USS Ronald Reagan (CVN 76), San Diego, CA.
USS George H.W. Bush (CVN 77), Norfolk, VA.