Modern day example of CVBG "composition"
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News Article-
The USS Enterprise CVN 65-Big E Strike Group, the US Navy's largest air carrier, will join the USS Stennis and the USS Nimitz carriers, building up the largest sea, air, marine concentration the United States has ever deployed opposite Iran. This goes towards making good on the assurances of four carriers US Vice President Dick Cheney offered the Gulf and Middle East nations during his May tour of the region.
The "Big E" leads a strike group consisting of the guided-missile destroyers USS Arleigh Burke DDG 51, USS Stout DDG 55, Forrest Sherman DDG 98 and USS James E. Williams DDG 95, as well as the guided missile cruiser USS Gettysburg CG 64, the SS Philadelphia SSN 690 nuclear submarine and the USNS Supply T-AOE 6.
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This AAR has some screen shots and details on a fleet moving and the thoughts behind its composition. I do not think it has Carriers though. I cannot remember the individual specifics about my AARs now.
viewtopic.php?f=54&t=15506&hilit=Jamaica&start=15*******************************
Carrier Discussion thread -
viewtopic.php?f=63&t=17252&p=116201&hilit=Carrier+Battle+Group#p116201*******************************
For my part I am very careful to never use what I consider to be unrealistic or overwhelming forces. For example I usually only maintain 3 - 4 CV(N)s. CVBG fleets consist of the following;
CVN-78 - 5 Squadrons of F-35C CV
2x BB-16 Shore bombardment/AA/Anti Surface missiles
2x CG-90 AA/Shore Bombardment (no missile load as I want all the supply for AA guns and bombardment)
2 x DDG-1000 AA/Shore Bombardment (same as CG-90)
When at war with a respectable sea power, I will have SSN's ranging ahead and on the frontal flanks of this fleet.
As new designs become available this evolves. Some of the later designs have much better AA capability. The down side is they have much smaller internal supply loads.
I tend to have a Bombardment/AA fleet with this one consisting of 7 vessels with excellent AA/Bombardment. Once the Task Forces nears a hostile coast this TF moves in first to clear the way and obtain local Air Superiority, assisted by the Fleet Air Wing. The CVBG stands out approx. 150 miles "behind".
Logistical support comes from a fleet of 5 AO/AOE (TAKR-287 ALGOL - Not the largest capacity but its speed makes it a better choice for global use).
2 CG(N) (the Cruisers have better range than Destroyers which means the supply vessels use less supply keeping their escorts)