Phylum Porifera Grant, 1836 - sponges
   Class Hexactinellida Schmidt, 1870 - hexactinellids
     Subclass Amphidiscophora Schulze, 1886
       Order Reticulosa Reid, 1958
         Superfamily Dierespongioidea Rigby & Gutschick 1976
           1 Family †Dierespongiidae Rigby & Gutschick, 1976
           2 Family †Hydnodictyidae Rigby, 1971
           3 Family †Amphispongiidae Rauff, 1894
           4 Family †Multivasculatidae de Laubenfels, 1955
           5 Family Titusvillidae Caster, 1939 see Family Titusvilliidae Caster, 1939
           6 Family †Aglithodictyidae Hall & Clarke, 1899