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 †Acrochordoniinae Schrammen, 1910
               1 Genus †Acrochordonia Schrammen, 1901
               2 Genus †Eustrobilus Schrammen, 1910
               3 Genus †Pseudojerea Moret, 1926
               4 Genus †Ragadinia Zittel, 1878
               5 Genus †Phyllodermia Schrammen, 1924
               6 Genus †Achrochordiella Rigby, 1981
               7 Genus †Pliegatella Brimaud & Vachard, 1986