Phylum Porifera Grant, 1836 - sponges
   Class Hexactinellida Schmidt, 1870 - hexactinellids
     Subclass Hexasterophora Schulze, 1886
       Order Lychniscosa Schrammen, 1903 see Order Lychniscosida Schrammen, 1903
         Family Callodictyonidae Zittel, 1878
           Subfamily †Callodictyoninae Zittel, 1878
             1 Genus †Coscinaulus Schrammen, 1937
             2 Genus †Desmoderma Schrammen, 1936
             3 Genus †Beaussetia Moret, 1926
             4 Genus †Callodictyonella Strand, 1928
             5 Genus †Cinclidella Schrammen, 1912
             6 Genus †Diplodictyon Zittel, 1878
             7 Genus †Pleurope Zittel, 1878
             8 Genus †Porochonia Hinde, 1883
             9 Genus †Regnardielasma Zhuravleva, 1962