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
           1 Subfamily †Callodictyoninae Zittel, 1878
           2 Subfamily †Microblastidinae Schrammen, 1912
           3 Subfamily †Becksinae Schrammen, 1912
           4 Subfamily Callicylicinae Reid, 2004