Phylum Porifera Grant, 1836 - sponges
   Class Hexactinellida Schmidt, 1870 - hexactinellids
     Subclass Hexasterophora Schulze, 1886
       Order Lychniscosa Schrammen, 1903 see Order Lychniscosida Schrammen, 1903
         01 Family †Calyptrellidae Schrammen, 1912 [monotypic]
         02 Family Callodictyonidae Zittel, 1878
         03 Family †Coeloptychidae Roemer, 1864
         04 Family †Ventriculitidae Smith, 1847
         05 Family †Camerospongiidae Schrammen, 1912
         06 Family †Polyblastidiidae Schrammen, 1912
         07 Family Dactylocalycidae Gray, 1867
         08 Family †Sporadopylidae Schrammen, 1936
         09 Family †Pachyteichismatidae Schrammen, 1936
         10 Family †Cypelliidae Schrammen, 1936
         11 Genus †Cavispongia Quenstedt, 1877
         12 Genus †Plectascus Schrammen, 1912
         13 Genus †Sclerokalia Hinde, 1883
         14 Genus †Sestrocladia Hinde, 1883
         15 Genus †Xylospongia Hérenger, 1942, nom. illeg.