If you run Custom Shop, log in and go to the "My Gear" section of the AmpliTube shop you should see the list there. Or, have a look at
https://www.ikmultimedia.com/products/atmax/index.php?p=gearPlease note that AT4 MAX includes a fixed set of gear models. Models released after AT4 MAX are not included, but can be purchased separately (or, maybe, in bundles).
If that list does not help you resolve the problem, then raise a Support Ticket, here:
http://www.ikmultimedia.com/contact-support/mi/for some one to one help (US (East Coast) Business hours, generally). Please let them know details of the specific presets and missing components.