Phylum Radiolaria Müller, 1858
see Subphylum Radiozoa Cavalier-Smith, 1987
Superclass Polycystina Ehrenberg, 1838
see Superclass Polycystinia Ehrenberg, 1838
Class Nassellaria Ehrenberg, 1847
Order Cyrtidinata Haeckel, 1862
Superfamily Archipilioidea Haeckel, 1881
Family Sethoperidae Haeckel, 1881
1 Subfamily Sethoperinae Haeckel, 1881
2 Subfamily Tetraplectinae Haeckel, 1881