First off, there are five individual classes you can pick from in the multiplayer side of Call of Duty: WW2, all of which are available in the beta.

Infantry - The most rounded Divisions class, the Infantry can lay down fire from afar with weapons like the M1 Garand.
Division Skill

Bayonet Charge – Special training on the use of the Bayonet makes Infantry riflemen a threat at all ranges. While sprinting press R3 to activate.

Division Training
Infantryman III
– Two extra attachments on Primary Weapon
– One attachment on Secondary Weapon

Airborne - The Airborne Division is best suited to players of speed, carrying sub-machine guns like the MP40, while also being to equip suppressors.

Division Skill
Suppressor - Hides muzzle flash and prevents gunfire from appearing on enemy mini-maps but reduced range of weapon. To toggle press left d-pad.

Division Training
Pathfinder III
– Sprint for longer distance
– Increased sprint speed
– Climb over obstacles faster

Armored - This Division is responsible for bringing pure firepower to the battlefield, lugging around weapons like light machine guns and rocket launchers, to lay down suppressing fire on any part of the battlefield.

Division Skill
Bipod - Protect territory by mounting your machine gun Mount on ledges and while prone for less recoil. Press left d-pad to mount.

Division Training
Tanker III
– Rocket Launcher as Secondary Weapon
– Extra piece of equipment
– Throw equipment faster, farther & while sprinting

Mountain - The Mountain Division is the sniper of the group, relying on slow firing but powerful weapons with aim assist to get the job done from afar.

Division Skill
Sharpshooter - Block out the surroundings and in return acquire aim assist and enemy names. Activated holding breath with L3.

Division Training
Scout III
– Acquire enemy names from farther away
– Increased mini-map coverage
– Hidden to player-controlled streaks

Expeditionary - This Division class specialises in close quarters combat, carrying around shotguns as well as shovels, both of which can be used to deal death from close range.

Division Skill
Incendiary Shells - Shotgun rounds which spark flames that burn enemies to death. Press left d-pad to load shells.

Division Training
Sapper III
– Extra magazines
– Immune to shell shock and tactical equipment
– Take less explosive damage