Hexactinellida Schmidt, 1870
Acanthaspongia M'Coy, 1846
Acanthospongia Roemer, 1861
Arakespongia Rigby, Chamberlain & Black, 1970
Asthenospongia Rigby, King & Gunther, 1981
Brachiospongiidae
Calcihexactina
Clathrochone Tabachnick, 2002
Corticulospongia Rigby & Chatterton, 1989
Divaricospongia Rigby & Maher, 1995
Euplectellidae Gray, 1867
Fistellaspongia Rigby & Maher, 1995
Foerstella Ruedemann, 1925
Hyaloplacoida Tabachnick, 1989
Hydnoangulus Rigby & Ausich, 1981
Keriogastrospongia Wu, 1989
Leucopsacidae Ijima, 1903
Malumispongium Rigby, 1967
Norfordia Rigby & Harris, 1979
Oncosella Rauff, 1894
Opeamorphus de Laubenfels, 1955
Palaeosaccus Hinde, 1893
Pileospongia Rigby, Keyes & Horowitz, 1979
Proeuplectella
Pyritonema M'Coy, 1850
Pyruspongia Rigby, 1971
Regardrella
Rossellidae Schulze, 1885
Stauractinellidae De Laubenfels, 1955
Testispongia
Toomeyospongiidae
Valospongia Rigby, 1983
Vaurealispongia Rigby, 1974
Wongaspongia Rigby & Webby, 1988
