Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Spumellaria Ehrenberg, 1875
       Order Saturnalata Afanasieva & Amon, 2005
         Family †Oertlispongidae Kozur & Mostler, 1980
           01 Genus †Baumgartneria Dumitrica, 1982
           02 Genus †Bogdanella Kolar-Jurkovsek, 1989
           03 Genus †Falcispongus Dumitrica, 1982
           04 Genus †Gibberospongus Kozur & Mostler, 1996
           05 Genus †Oertlispongus Dumitrica, Kozur & Mostler, 1980
           06 Genus †Paroertlispongus Kozur & Mostler, 1981
           07 Genus †Pterospongus Dumitrica, 1982
           08 Genus †Scutispongus Kozur & Mostler, 1996
           09 Genus †Spongoserrula Dumitrica, 1982
           10 Genus †Steigerispongus Kozur & Mostler, 1996
           11 Genus †Turospongus Kozur & Mostler, 1994