After Bulman, 1955 and Mierzejewski, 2002-2004

<==o Cephalodiscida Fowler, 1892 [Pterobranchiata; Pterobranchia Lankester, 1877: Cephalodiscida; Cephalodiscoidea Beklemishev, 1951 sensu Mierzejewski, 2002-2004] (head-disked pterobranchs; pääkilpiset siipikiduksiset)
   |-- †Eocephalodiscus polonicus Kozlowski, 1949 [Eocephalodiscidae Kozlowski, 1949]
   |?- Atubaria heterolopha Sato, 1936 [ Atubaridae Sato, 1936] [of doubtful status (Mierzejewski, 2002-2004)]
   `--o Cephalodiscidae Harmer, 1905
      |-- †Pterobranchites antiquus Kozlowski, 1967; Ord.
      `--o Cephalodiscus M'Intosh, 1882 [Cephalodiscus (Cephalodiscus) M'Intosh, 1882; Demiothecia Ridewood, 1906; Idiothecia Ridewood, 1906; Orthoecus Andersson, 1907] L.-M. Ord. Eoc. R.
         |?- D. aequatus Andersson, 1907
         |?- D. agglutinatus Harmer & Ridewood, 1913
         |?- D. gilchristi Ridewood, 1906
         |?- D. graptolitoides Dilly, 1993
         |?- D. indicus Schepotieff, 1909
         |?- D. levinseni Harmer, 1905
         |?- †D. lutetianus Abrard, Dollfus & Soyer, 1950
         |?- D. sibogae Harmer, 1905
         |--o (Cephalodiscus) M'Intosh, 1882 [Demiothecia Ridewood, 1906]
         |  |-- C. (C.) dodecalophus M'Intosh, 1882
         |  |-- C. (C.) gracilis Harmer, 1905 [C. (C.) atlanticus Bayer, 1962]
         |  `-- C. (C.) hodgsoni Ridewood, 1907 [C. aequatus Andersson, 1907; C. inaequatus Andersson, 1907]
         |--o (Idiothecia) Ridewood, 1907 [Idiothecia Ridewood, 1906]
         |  |-- C. (I.) evansi Ridewood, 1918
         |  `-- C. (I.) nigrescens Lankester, 1905 [C. nigrescens Lankester, 1905]
         |--o (Orthoecus) Andersson, 1907 [Orthoecus Andersson, 1907]
         |  |-- C. (O.) australiensis Johnston & Muirhead, 1951
         |  |-- C. (O.) densus Andersson, 1907 [C. (O.) rarus Andersson, 1907; C. (O.) anderssoni Gravier, 1912]
         |  `-- C. (O.) solidus Andersson, 1907
         `--o (Acoelothecia) John, 1931
            `-- C. (A.) kempi

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