Anthozoa Ehrenberg, 1834
Cyathopaedium Schlüter, 1889
Depasophyllum Grabau, 1922
Fletcherina Lang, Smith & Thomas, 1955
Protopilophyllum
Pycnostylus Whiteaves, 1884
Synamplexus Grabau, 1922
Synaptophyllum Simpson, 1900
Thecacristatus Strel'nikov, 1973
Zelophyllum Wedekind, 1927