As i understand it 5.56 and 223 cartridge dimensions are identical. However 5.56 is military cartridge and does not have saami specs so to speak, thus almostno load data. Western and hornady both have 5.56 load data. From what i have seen it goes just a touch higher than 223 data, but not by much. Personally i have started seeing pressures signs with standard 223 data and would not want to push into 5.56 ranges anyway.
For example, max charge, 62g bullet from Hornady 11th.
Cfe223
223, 27.4g
5.56, 27.7g
Tac
223, 24.7g
5.56, 24.7g
Win 748
223, 25.5g
5.56, 25.7g
Might interest you since hornady has 5.56 data. hornady has a digital manual. You can get the app. You have 2 options. option 1 is to to buy the full manual for $20 if i remember right. Option 2 is you can purchase individual cartridges for 99 cents each and just buy what you need.
On another fun note that may be helpful to you. I did some testing with my 16in ar the other day with factory ammo and my general purpose training load.
10 shots each, chrono set up 15ft from the muzzle.
Winchester M193, (5.56), avg 3056fps, es 110fps, sd 30fps
PMC x-tac M193, (5.56), avg 2997fps, es 111fps, sd 35fps
Hand loads (.223), avg 2946fps, es 48fps, sd 15fps
My general purpose training load.
LC brass
CCI #41 primers
55g Hornady FMJ, Col 2.200
CFE223 27.0g (thrown with a hornady powder thrower)