Hello Johan,
Just to add some other vehicles to David's measurement above, I just checked two 404.1s here and they were 7-5/8" and 8-1/8" so looks like you're right in the average.
When I used to deal with a lot of these, the 404.1's commonly had transmission problems, especially the fire truck versions. I think there are two main reasons.
First, the gearbox in the 404 is largely a carryover from the early first generation models 2010, 401 and 411 which were comparatively tiny (smaller than some golf carts, I have a 401 with a five foot wheelbase, same trans design except non-synchro) and only had 25 max horsepower with a top speed of about 35mph floored, downhill, with a favorable tailwind. The 404.1 has 80-90 horsepower stock and I hit 60mph frequently, albeit on a flat road with that tailwind. So basically the same tranny is hooked up to triple the horsepower going double the speed. The diesels in the small trucks had a red line under 3000 RPM, the 404 easily revs to 6000.
Second, the 404.1 is underpowered with 80-90 horsepower and so you're constantly shifting up/down to maintain any semblance of speed, especially on a highway. To make things worse, a lot of these mogs operated in mountainous parts of Europe like the Alps. When you add it up, a lot of these trannys are just plain worn out. It's telling that the other common problem in the 404 is the clutch being worn or broken.
The good news is there's enough parts for them here in states to build a large fleet.
Jeff