Cyclostomatida Busk, 1852
Apsendesia Lamouroux, 1821
Apseudesia de Blainville, 1830
Aspendesia d'Orbigny, 1850
Defrancia Bronn, 1825
Discofascigera d'Orbigny, 1853
Fascicularia Lyell, 1839
Fasciculipora d'Orbigny, 1847
Fasciculiporoides Kluge, 1955
Filifascigera d'Orbigny, 1853
Frondipora Link, 1807
Meandropora d'Orbigny, 1849