It would be impossible to count
The major lineages at Songshan Shaolin could be charted through the Grandmasters. So you could look at descendants of Shi Suxi vs. Shi Suyuan, etc., but that would only give you a small fraction of the story. Within classmates, there is variation. Some monks learn from multiple teachers. What's more, and this is the real confounding factor, is that if you're just looking at the monks, you're only seeing about a 1/2% of Shaolin. There are only a few hundred martial monks. There are thousands of folk masters. Now many of the private schools are teaching all sorts of different stuff - wushu taolu & sanda, judo, tae kwon do, even cardiokickboxing - but there are also many that teach traditional Songshan Shaolin and their folk lineages have generations of history on Songshan. There's a tremendous amount of cross fertilization between the monks and the folk masters. That's simply impossible to chart.
In our 2003 Shaolin Special, I published the official Top ten Shaolin master list, along with the 18 diamonds of Shaolin and the 18 lohan of Shaolin. These are all leading masters in the Songshan area, some monks, some disciples and some folk masters. That's 46 names and I'm willing to bet they all have different authentic versions of traditional Shaolin forms. I'm also willing to bet that most people here, even our top Shaolin researchers, don't know half of these masters.
As I've mentioned elsewhere, I'm currently learning some variations on yinshougun. Yanfei's version came from a local folk master. Shaolin Temple has brought in folk masters to share their methods on many occasions. This has a historical foundation that goes back to the very origins of Shaolin kung fu.