The Boy Scouts of America have been camping outdoors for a LOT of years. Here are the two current recommendations for first aid kit contents:

Personal First Aid Kit - carried by an individual
6 adhesive bandages
2 sterile 3"x3" gauze pads
1 small roll of adhesive tape
1 3"x6" piece of moleskin
1 small bar of soap or small bottle of alcohol-based hand sanitizing gel
1 small tube of triple antibiotic ointment
1 pair of scissors
1 pair of disposable nonlatex gloves
1 CPR breathing barrier
1 pencil and paper

Patrol/Troop First Aid Kit - carried by a small group
1 2" roller bandage
2 1" roller bandages
1 roll of 1" adhesive tape
24 alcohol swaps
1 box of assorted adhesive bandages
2 3"-wide elastic bandages
12 sterile 3"x3" gauze pads
4 3"x6" pieces of moleskin
2 packets of gel pads for blisters and burns
1 tube of triple antibiotic ointment
4 triangular bandages (40"x28")
1 small bar of soap or small bottle of alcohol-based hand sanitizing gel
Scissors
Tweezers
12 safety pins
1 splint
6 pairs of nonlatex disposable gloves
Protective goggles/safety glasses
CPR breathing barrier
Pencil and paper