Standard receiver extension is a longer (~10") tube that is threaded at one end and has a lip on that end. Other end has a threaded hole (where the full size stock is screwd in). It is installed by using a wrench on the far end.
CAR/M4 receiver extension is a shorter (~8") tube that has a rail running along the bottom with holes in it (detents for the sliding stock). The far end of the tube has a small hole. This receiver extension needs to addional parts to function; a castle nut and an end-plate. The endplate is used to keep the receiver extension in alignment (rail down) and to keep the rear take down pin detent/spring in place (this task is done by the fixed stock on the rifle). The castle nut is used to secure the assembly in place. You need a special wrench to tighten the castle nut.
I suggest downloading the -23&P (Unit Maintenance Manual) from AR15.com (books section) and seeing how they install that will show you differences graphically.