Phylum Porifera Grant, 1836 - sponges
   Class Demospongea Sollas, 1875 see Class Demospongiae Sollas, 1885
     Subclass †Lithistida Schmidt, 1870
       Order Tetralithistida Lagneau-Hérenger, 1962
         Suborder Tetracladina Zittel, 1878
           Family Theonellidae Lendenfeld, 1903
             Subfamily Theonellinae von Lendenfeld, 1903
               1 Genus †Colossolacis Schrammen, 1910
               2 Genus †Leiophyllum Schrammen, 1924
               3 ?Genus †Placoscytus Schrammen, 1910
               4 Genus †Rhoptrum Schrammen, 1910
               5 Genus †Stellettites Carter, 1871
               6 Genus †Racodiscula Zittel, 1878
               7 Genus †Discodermia du Bocage, 1869
               8 Genus †Theonella Gray, 1869