Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Stauraxonaria Afanasieva & Amon, 2005
       Order Pyloniata Haeckel, 1881
         Superfamily Larnacillioidea Haeckel, 1887
           Family Larnacillidae Haeckel, 1887
             1 Subfamily Larnacillinae Haeckel, 1887
             2 Subfamily †Histriastrinae Dumitrica, 1989
             3 Subfamily Cryptolarnaciinae Dumitrica, 1989
             4 Subfamily Circodiscinae Dumitrica, 1989