Anthozoa Ehrenberg, 1834
Acanthohalysites
Arcturia Wilson, 1931
Catenipora Lamarck, 1816
Cystihalysites Chernyshev, 1941
Eocatenipora Hamada, 1957
Falsicatenipora Hamada, 1958
Hexismia Sokolov, 1949
Quepora Sinclair, 1956
Schedohalysites Hamada, 1957
Solenihalysites Stasinska, 1967
Spumaeolites Zhizhina, 1967