Hexactinellida Schmidt, 1870
Aphrocallistidae Gray, 1867
Auloplacidae Schrammen, 1912
Craticulariidae Rauff, 1893
Cribrospongiidae Roemer, 1864
Cyathella Schmidt, 1880
Dactylocalycidae Gray, 1867
Diaretula Schmidt, 1879
Euretidae Zittel, 1877
Farreidae Gray, 1872
Hyalocaulus Marshal & Meyer, 1877
Lithospongia Duchassaing & Michelloti, 1864
Plieolitidae
Rhabdostauridium Schmidt, 1880
Staurodermatidae Zittel, 1877
Tretodictyidae Schulze, 1886
