After Long, 1995, Cloutier & Ahlberg, 1996, and Clement, 2005

Family-level taxonomy of Coelacanthinimorpha
<==o Coelacanthinimorpha [Actinistia Cope, 1871] (coelacanths or Latimeria-like sarcopterygians; latimeriamaiset varsieväkalat)
   |?- †Lochmocercus aciculiodontus Miss. NAm.
   |?- †Shoshonia arctopteryx Friedman, Coates & Anderson, 2007; M.-L.Dev. NAm.
   |--o †Miguashaidae Schultze, 1993 [paraphyletic?]
   |  |-- †Gavinia syntrips Long, 1999; M.Dev. Aus.
   |  `--o †Miguashaia Schultze, 1973; M.Dev. Eu. NAm.
   |     |-- †M. grossi Forey et al., 2000; M.Dev. Eu.
   |     `-- †M. bureaui Schultze, 1973; M.Dev. NAm.
   `--+--o †Diplocercidae Stensiö, 1922
      |  |-- †Dictyonosteus L.Dev. Spits.
      |  `--o †Diplocercides Stensiö, 1922 [Holoptychius; Coelacanthus; Nesides] L.Dev. NEEu.
      |     |-- †D. kayseri (von Koenen, 1895) [Nesides schmidti Stensiö, 1937] L.Dev. Eu.
      |     |-- †D. davisi (Moy-Thomas, 1937) [Rhabdoderma(?) abdenense Moy-Thomas, 1937] L.Dev. WEu.
      |     |-- †D. jaekeli Stensiö, 1922, L.Dev. CEu.
      |     `-- †D. heiligenstockiensis Jessen, 1966 [Nesides] L.Dev. CEu.
      `--+?- †Euporosteus eifeliensis Jaeckel, 1927 [E. eifelianus] M.Dev. Eu. [Euporosteidae]
         |?- †Chagrinia enodis Schaeffer, 1962; L.Dev. NAm.
         |?-o †Hadronectoroidei Lund & Lund, 1984
         |  |?- †Lochmocercus aciculiodontus Lund & Lund, 1984; E.Carb. (Miss..) NAm. 
         |  `--o †Hadronectoridae
         |     |-- †Allenypterus montanus Melton, 1969; E.Carb. (Miss..) NAm. 
         |     |-- †Hadronector donbairdi Lund & Lund, 1984; E.Carb. (Miss..) NAm. 
         |     `-- †Polyosteorhynchus simplex Lund & Lund, 1984; E.Carb. (Miss..) NAm. 
         `--+?=o †“Rhabdodermatidae”
            |  |-- †Cardiosuctor populosus Lund & Lund, 1984; E.Carb. (Miss..) NAm.
            |  |-- †Synaptotylus newelli (Hibbard, 1933) Echols, 1963 [Coelacanthus newelli Hibbard, 1933; Coelacanthus arcuatus Hibbard, 1933] L.Carb. (Penn.) NAm.
            |  `--o †Rhabdoderma Reis, 1888 [Taxonomic history] Miss. NAf. Miss. Penn. Eu. EEu. NAm.
            |     |-- †R. elegans (Newberry, 1856) [Taxonomic history]
            |     |-- †R. aldinger Moy-Thomas, 1937
            |     |-- †R. ardrossense Moy-Thomas, 1937
            |     |-- †R. exiguum (Eastman, 1902) [Taxonomic history]
            |     |-- †R. huxleyi (Traquair, 1881) [Taxonomic history]
            |     `-- †R. tingleyense (Davis, 1884) [Taxonomic history]
            `--+--+-- †Spermatodus pustulosus Cope, 1894; E.Perm. NAm.
               |  `--o †Sassenia Stensiö, 1921; L.Trias. Spits. Gr.
               |     |?- †S.? guttata (Woodward, 1912) [Coelacanthus guttata Woodward, 1912]
               |     `-- †S. tuberculata Stensiö, 1921
               `--+--o †Laugiidae Stensiö, 1932
                  |  |-- †Laugia groenlandica Stensiö, 1932; E.Trias. Gr.
                  |  |?- †Trachymetopon liassicum E.Jur. CEu.
                  |  `--o †Coccoderma Quenstedt, 1858 [Dokkoderma] [non Coccoderma Möllendorff, 1901, a pulmonate gastropod genus (Enidae)] L.Jur. CEu.
                  |     |-- †C. bavaricum Reis, 1888
                  |     |-- †C. gigas Reis, 1888
                  |     |-- †C. harlemensis (Winkler, 1871) [Coelacanthus harlemensis Winkler, 1871]
                  |     |-- †C. substriolatum (Huxley, 1866) Reis, 1888
                  |     `-- †C. suevicum Quenstedt, 1858 [Coccoderma nudum Reis, 1888]
                  `--+?-o †Whiteiidae [treated as coelacanthiniforms by Clement (2005)]
                     |  |-- †Piveteauia madagascariensis Lehman, 1952; E.Trias. Mad.
                     |  `--o †Whiteia Moy-Thomas, 1935 E.Trias. Mad. Gr. ?E. Trias. NA.
                     |     |-- †W. woodwardi Moy-Thomas, 1935 [Coelacanthus evolutus Beltan, 1980] E.Trias. Mad.
                     |     |-- †W. africanus (Broom, 1905 [Coelacanthus africanus Broom, 1905] E.Trias. SAf.
                     |     |-- †W. tuberculata Moy-Thomas, 1935; E.Trias. Mad.
                     |     `-- †W. sp. (Gardiner, 1966); E.Trias. WNAm.
                     `-- Coelacanthiformes sensu Clement, 2005 (latimeriat; coelacanths)

Coelacanthinimorpha incertae sedis:

Changxingia aspratilis Wang & Liu, 1981; L.Trias. EAs.
    †Chouhuichthys majiashanensis Tong, Zhou, Erwin, Zuo & Zhao, 2006; L.Trias. EAs. [a coelacanthid (Tong, et al., 2006)]
    †Coelocanthopsis curta Traquair, 1901; L.Carb. (Miss.) Eu. EEu.
    †Cualabaea L.Jur. WAf.
    †Graphiurichthys callopterus (Kner, 1866) White & Moy-Thomas, 1937 [Graphiurus] L.Trias. Eu.
    †Hainbergia granulata Schweizer, 1966; M.Trias. CEu.
    †Heptanema paradoxum Bellotti, 1857; M.-L.Trias. Eu.
    †Moenkopia wellesi Schaeffer & Gregory, 1961; M.Trias. WNAm.
    †Mylacanthus Stensiö, 1921 E.Trias. Spits.
        †Mylacanthus lobatus Stensiö, 1921 E.Trias. Spits.
        †Mylacanthus spinosus Stensiö, 1921 E.Trias. Spits.
    †Rhipis de Saint-Seine, 1950; L.Cret. Af. [scales]
        †Rhipis moorseli de Saint-Seine, 1950
        †Rhipis tuberculatus Casier, 1965
        †Rhipis sp. [L.Cret. CAf.(Casier, 1965)]
    †Scleracanthus asper Stensiö, 1921; E.Trias. Spits.
    †Sinocoelacanthus fengshanesis Liu, 1964; E.Trias. EAs.
    †Youngichthys xinhuainsis Wang & Liu, 1981; L.Perm. CAs.

Alternative phylogenies of Coelacanthomorpha:

After Wendruff & Wilson, 2012

<==o Coelacanthinimorpha
   |-- †Miguashaia
   `--+-- †Diplocercides
      `--+-- †Hadronector
         `--+--+-- †Allenypterus
            |  `-- †Holopterygius
            `--+-- †Lochmocercus
               `--+-- †Polyosteorhynchus
                  `--+--+-- †Cardiosuctor
                     |  `-- †Rhabdoderma
                     `--+-- †Sassenia
                        `--+--+-- †Coelacanthus
                           |  `--+-- †Coccoderma
                           |     `-- †Laugia
                           `--+-- †Spermatodus
                              `--+-- †Whiteia
                                 `--+-- †Rebellatrix
                                    `--o Latimerioidei
                                       |-- †Granbergia
                                       |--o †Mawsoniidae
                                       |  |-- †Chinlea
                                       |  `--+-- †Parnaibaia
                                       |     `--+-- †Axelrodichthys
                                       |        `-- †Mawsonia
                                       `--+--+-- †Diplurus
                                          |  `-- †Libys
                                          `--o Latimeriidae
                                             |--+-- †Undina
                                             |  `-- †Holophagus
                                             `--+-- †Macropoma
                                                `--+-- †Swenzia
                                                   `-- Latimeria

Reference:

  • Wendruff, A. J. & Wilson, M. V. H., 2012: A Fork-Tailed Coelacanth, Rebellatrix divaricerca, gen. et sp. nov. (Actinistia, Rebellatricidae, fam. nov.), from the Lower Triassic of Western Canada.
    –Journal of Vertebrate Paleontology: Vol. 32, #3, pp. 499-511 [doi: 10.1080/02724634.2012.657317]

Reference(s):