Phylum Porifera Grant, 1836 - sponges
   Class Hexactinellida Schmidt, 1870 - hexactinellids
     Subclass Hexasterophora Schulze, 1886
       Order Lyssacinosa Zittel, 1877 see Order Lyssacinosida Zittel, 1877
         01 Family Pheronematidae Gray, 1870
         02 Family Euplectellidae Gray, 1867
         03 Family Asemematidae Reid, 2004 see Family Asconematidae Schulze, 1886
         04 Family Rossellidae Schulze, 1885
         05 Family †Stauractinellidae de Laubenfels, 1955 [monotypic]
         06 Family †Leucopsacidae Ijima, 1898
         07 Genus †Opeamorphus de Laubenfels, 1955
         08 ?Genus †Pyritonema McCoy, 1850
         09 Genus †Calycomorpha Bodzioch, 1993
         10 Genus †Krainerella Krainer & Mostler, 1992
         11 Genus †Trimonactinophora Wu & Xiao, 1989
         12 Genus †Gomphites Carter, 1871
         13 Superfamily †Crepospongioidea Finks & Rigby, 2004 [monotypic]
         14 Superfamily †Brachiospongioidea Beecher, 1889
         15 Superfamily †Lumectospongioidea Rigby & Chatterton, 1989 [monotypic]