Seems that there's also a class W chain. Here are the definitions. I have a set of very heavy chains that I picked up on Craigslist for cheap. The steel in the cross links is 1/4" thick. I think they were made for a skid steer or something. I have the room on both the front and back for them. You wouldn't want to use them for long, though. To say they're rough riding is an understatement. Luckily I've only needed them once.
SAE Class S - Regular (non-reinforced) passenger tire traction devices for vehicles with restricted wheel well clearance.
SAE Class U - Regular (non-reinforced) and lug-reinforced passenger tire traction devices for vehicles with regular (non-restricted) wheel well clearances.
SAE Class W - Passenger tire traction devices that use light truck components, as well as some light truck traction devices.