Phylum Porifera Grant, 1836 - sponges
   Class Hexactinellida Schmidt, 1870 - hexactinellids
     Subclass Hexasterophora Schulze, 1886
       Order Hexactinosa Schrammen, 1903 see Order Hexactinosida Schrammen, 1903
         01 Family Euryplegmatidae de Laubenfels, 1955 [monotypic] see Family Aulocalycidae Ijima, 1927
         02 Family Farreidae Gray, 1872
         03 Family Euretidae Zittel, 1877
         04 Family Craticulariidae Rauff, 1893
         05 Family Cribrospongiidae Roemer, 1864
         06 Family †Staurodermatidae Zittel, 1877
         07 Family Aphrocallistidae Gray, 1867 [monotypic]
         08 Family Tretodictyidae Schulze, 1886
         09 Family †Cystispongiidae Reid, 2004 [monotypic]
         10 Family †Aulocalycidae Ijima, 1927
         11 Family †Emplocidae de Laubenfels, 1955 [monotypic]
         12 Genus †Carinthiaspongus Krainer & Mostler, 1992
         13 Genus †Furcicanalis Wu & Xiao, 1989
         14 Genus †Imbricareola Wu & Xiao, 1989
         15 Genus †Scotospongia Krainer & Mostler, 1992
         16 Genus †Tesselispongia Wu & Xiao, 1989
         17 Genus †Vermifistula Wu & Xiao, 1989
         18 Genus †Caseispongia Quenstedt, 1878
         19 Genus †Idiodictyon de Laubenfels, 1955
         20 Genus †Misonia Krautter, 1996
         21 Genus †Multiloqua de Laubenfels, 1955
         22 Genus †Mysterium de Laubenfels, 1955
         23 Genus †Octobrum de Laubenfels, 1955
         24 Genus †Porospongia d'Orbigny, 1849
         25 Genus †Rhogostomium Schrammen, 1936
         26 Genus †Rhombedonium Schrammen, 1936
         27 Genus †Tremaphorus Schrammen, 1936
         28 Superfamily †Pillaraspongioidea Rigby, 1986 [monotypic]
         29 Superfamily Pileolitoidea Finks, 1960