Here's a long-winded version....
N - neutral, the center differential is disconnected from the transmission. So when you tow it, the engine and tranny are inactive. Or if you're not towing, it can roll away on you.
4H - the center differential is a limited slip in this mode. The front and rear "axle" differentials are engaged. The GV doesn't have axles in that sense because the fully independent suspension requires the use of shorter shafts with constant velocity joints. The front and rear differentials are what's called "open", which means they are simple. These simple differentials are funny. On one hand, they have no ability to allow the different turn rates such as happens during cornering. On the other hand, if a wheel starts spinning, they put all their power into uselessly spinning the wheel lacking traction. This means that on pavement, cornering is impaired, while on slippery surfaces, they allow useless wheelspin.
A completely plain center differential, when engaged, will still allow the front, or the back, or two diagonally opposite wheels to spin when the traction difference/power differential reaches a certain point. And yes, that's pretty useless. At the same time, when on pavement, the system is so locked together that when cornering, the system will build up and release stress to the point where the vehicle does something that's aptly described as "crow hopping".
The GV's limited slip center differential locks the wheels together (up to a point) but at the same time allows for slippage for cornering. This is equivalent to an AWD setup. Limited slip differentials can be built to provide varying amounts of resistance to slippage. The "stiffer" they are, the more they resist wheelspin, but the more they resist the wheels turning at different rates. Sometimes, when backing up with the wheels at full lock, you may experience some lurching or clunking noises from the drivetrain. That's because of the stiffness of the limited slip differential. The stiffer the differential, the more stress you place on drivetrain components.
On the GV, traction control using the ABS and the brakes is used to detect and stop wheelspin, which makes up somewhat for the lack of lockable or limited slip differentials at the axles.
So what this means is that in 4H, the GV drives through all four wheels, and the slippable center differential allows being in 4wd on pavement because the slippage allows for cornering.
4H Lock. After explaining that, it's easier to understand 4H High. 4H High means the center differential is locked. This makes it more like an old fashioned simple system. On one hand, the front or rear wheels, or two diagonally opposite wheels theoretically can't spin. I use the word "theoretically" because of something I'll get to later. You shouldn't use this mode on bare dry pavement because you don't need it, and because it will stress the driveline components, cost mileage, and induce unwanted forces into cornering dynamics.
I would suggest NOT using this mode for slippery highway driving. The reason is that when you initiate a turn, even a slight one, a locked center differential will resist wheels turning at different speeds. It wants them all to be turning at the same rate. In a corner, this will cause one or more wheels to slip relative to the road surface. A wheel sliding even a tiny bit has a huge loss of the traction you need for cornering. In combination with the high center of gravity and stiffer suspensions, this is why you see so many SUV's in the ditch on the first slippery corner in sudden winter conditions. In this mode, they are actually worse than 2wd.
The tighter a limited slip differential anywhere on the vehicle is, the more it will tend to do this same thing. The one time I slid off the road with the GV, I believe this played a role. I was in 4H on a extremely slick road, going into a corner. I think one or more wheels started slipping, just from the stiffness of the center differential. The road was so slippery, the yaw forces were so low that the stability control system did not activate even after I steered more sharply into the corner. I should have applied the brakes, so I wouldn't have gone so far off, but I ran out of time to think about what to do.
This slippage is ok when "off roading" because you don't have the cornering forces trying to throw you into the ditch, and things happen more slowly.
4L Lock. The only difference here is that the center differential has two gears, and this engages the second of them. This gearing halves the speed in any given gear, so you can climb steeper hills, engine brake more slowly downhill, or creep through really rough stuff.
Notice that there's no 4L.
And drifting off topic a bit...
Now, I have been in a situation where I was in 4L Lock, climbing fairly steeply on a gravel road, with a diagonal ditch to cross. In fact, it's the one in my avatar picture. Though it's not apparent in the picture, the ditch was too deep to cross perpendicularly without hitting the bottom. So I had to go through the ditch more in line with the ditch, which meant doing an "s" turn to sort of go up the ditch as I crossed it. This resulted in two diagonally opposite wheels being unloaded, and given the power I needed to climb the hill, the GV came to a stop with the unloaded wheels spinning. I was kind of shocked by this, since this was exactly why I wanted a 4wd with traction control. The traction control was active, as evidenced by plenty of clacking noises from the spinning wheels.
I had to take the ditch at an angle closer to perpendicular to keep the weight more on all four wheels. This meant I had less clearance, but I made it without scraping. Obviously this was not a problem coming down the road, since you're not applying power.
I expect the traction control system is set to use the brakes only to a certain point for a couple of reasons. One is to prevent overheating the brakes, as you would in a sustained situation like this. The other is that the more aggressive the traction control system, the stronger the driveline components have to be. For instance, say you were on an extremely steep hill with only one wheel having traction. All the force to lift the vehicle's weight would have to go through that one wheel. This is why the people who build extreme off-road vehicles, with all differentials locked, break driveline components.
Any solution to this, such as dialing up the traction control, or making the front and/or rear differentials limited slip or lockable, would require strengthening the driveline.
I guess I wouldn't mind if Suzuki or the car reviewers gave even the slightest hint of this in their specifications or reviews, but I was greatly disappointed at the level where I ran into this compared to the claims made for the GV.