Phylum Porifera Grant, 1836 - sponges
   Class Hexactinellida Schmidt, 1870 - hexactinellids
     Subclass Amphidiscophora Schulze, 1886
       Order Reticulosa Reid, 1958
         1 Superfamily †Protospongioidea Hinde, 1887 [monotypic]
         2 Superfamily Dierespongioidea Rigby & Gutschick 1976
         3 Superfamily †Dictyospongioidea Hall & Clarke, 1899
         4 Superfamily †Hintzespongioidea Finks, 1983