Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Spumellaria Ehrenberg, 1875
       Order †Prodigiata Afanasieva & Amon, 2005
         Family †Multiarcusellidae Kozur & Mostler, 1979
           Subfamily †Austrisaturnalinae Kozur & Mostler, 1983
             1 Genus †Austrisaturnalis Kozur & Mostler, 1972
             2 Genus †Hungarosaturnalis Kozur & Mostler, 1983
             3 Genus †Ornatisaturnalis Mostler & Krainer, 1994
             4 Genus †Praeheliostaurus Kozur & Mostler, 1972
             5 Genus †Quadrisaturnalis Yeh, 1989
             6 Genus †Solisaturnalis Mostler & Krainer, 1994
             7 Genus †Tiborella Dumitricà, Kozur & Mostler, 1980