Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class †Aculearia Afanasieva, 1999
       Order Fasciculata Afanasieva & Amon, 2003
         Family Plagiacanthidae Hertwig, 1879
           Subfamily Plagiacanthinae Hertwig, 1879
             01 Genus Archaeothamnulus Dumitrica, 1982
             02 Genus Conostylus Popofsky, 1907
             03 Genus Cytocladus Schroeder, 1906
             04 Genus Deflandrella Loeblich & Tappan, 1961, nom. nov.
             05 Genus Neosemantis Popofsky, 1913
             06 Genus Pseudocubus Haeckel, 1887
             07 Genus Pentaplagia Cachon & Cachon, 1969
             08 Genus Plagiacantha Claparède, 1856
             09 Genus Plagoniscus Haeckel, 1887
             10 Genus Plectophora Haeckel, 1881, nom. illeg. see Genus Plectophorina Loeblich & Tappan, 1961
             11 Genus Tetraplagia Haeckel, 1881
             12 Genus †Tetrarchiplagia Dumitrica, 1982
             13 Genus Thalassothamnus Haecker, 1906
             14 Genus Triassothamnus Kozur & Mostler, 1981
             15 Genus Triplagia Haeckel, 1881