Suppressors under the rail look cool but you run into two issues...
1) The excessive heat generated from firing 5.56 or any centerfire cartridge makes shooting the rifle uncomfortable or painful after about 1 magazine, i believe its 8 degrees temp increase in the suppressor per shot fired, so 240 + 72 = 312 F after a single mag. Do-able with rail covered and gloves but after the second you will have to stop shooting.
2) Because of the excessive heat most people dont hold or mount anything near the suppressor so you have probably 6" of unused rail, which is now just extra weight (and cost)
Im not saying it cant be done, especially if you're the person who goes to the range and shoots 100 rounds or less, but if you bring a ammo can with you every time and like to push your rifle hard then i would recommend running the suppressor in front of the rail.