The Saxifragaceae Family was named and described by Antoine Laurent de Jussieu in Genera Plantarum in 1789.
Plants of the World Online lists 34 accepted genera in this family. The Wikipedia says 33 in the first paragraph of the article then lists 46 farther down.
The 2013 version of The Plant List names 48 genera plus several unresolved names. The Plant List is no longer maintained but I like using it as a comparison with current information.
For more information about this family of plants, please click on the links below. The links take you directly to the information about the family.