Recent molecular studies reveal that Cyperus, the core genus of Cypereae (Cyperaceae), includes several segregate genera. This paper presents a survey of all published names of subdivisions of these segregate genera of Cyperus. It is the third paper in a series of papers on the nomenclature of names of genera and subdivisions of genera in Cypereae. Most names of subdivisions of genera in Cypereae were published in Kyllinga, Mariscus and Pycreus. Types are indicated, being designated where needed, and names are evaluated for their priority and legitimacy. The complex taxonomy of these genera resulted in the accumulation of 79 subdivisional names of which 20 are not validly published and two are illegitimate.