Cheilostomatida Busk, 1852
Anchicleidochasma Soule, Soule & Chaney, 1991
Calyptooecia Winston, 1984
Characodoma Maplestone, 1900
Cleidochasma Harmer, 1957
Cleidochasmidra Unsal & d'Hondt, 1979
Fedorella Silén, 1947
Gemelliporina Bassler, 1926
Hippopodinella Barroso, 1924
Schizostoma Canu, 1908
Yrbozoon Gordon, 1989