After Bechly, 1998-2002, and Grimaldi & Engel, 2005

<==o Odonatoptera Martynov, 1932 [Odonata sensu lato; Libellulidea sensu Rasnitsyn & Pritykina, 2002] (dragonfly-winged palaeopterans; sudenkorennonsiipiset)
   |--o †Geroptera Brodsky, 1994
   |  `--o †Eugeropteridae Riek & Kukalová-Peck, 1984
   |     |-- †Eugeropteron lunatum Riek & Kukalová-Peck, 1984; U.Carb. SAm.
   |     `-- †Geropteron arcuatum Riek & Kukalová-Peck, 1984; U.Carb. SAm.
   `--o Neodonatoptera Bechly, 1996 [Holodonata sensu Grimaldi & Engel, 2005]
      |==o †“Eomeganisoptera” Rohdendorf, 1962 [paraphyletic grade of basal Neodonatoptera sensu Bechly, 1998] [Protodonata in partim sensu Grimaldi & Engel, 2005]
      |  `==o †“Erasipteridae” Carpenter, 1939
      |     |-- †Erasipteroides valentini (Brauckmann in Brauckmann, Koch & Kemper, 1985)
      |     |-- †Erasipteron larischi Pruvost, 1933
      |     |--o †Erasipterella Brauckmann, 1983
      |     |  |-- †E. piesbergensis Brauckmann, 1983
      |     |  `-- †E. jini Zhang, Hong & Su, 2012
      |     |-- †Rasnitsynala sigambrorum Zessin, Brauckmann & Gröning, 2011
      |     |-- †Whalleyala bolsoveri (Whalley, 1979) Brauckmann & Zessin, 1989 [Erasipteron bolsoveri Whalley, 1979]
      |     `-- †Zessinella siope Brauckmann, 1988
      `--o Euodonatoptera Bechly, Brauckmann & Zessin, in Bechly, 1998 [nomen nudum]
         |-- †Meganisoptera Martynov, 1932 [Protodonata in partim sensu Grimaldi & Engel, 2005] (griffenflies; griippikorennot)
         `--o Odonatoclada Bechly, 1998 [Panodialata Nel, Gand & Garric, 1999; Odonata sensu Grimaldi & Engel, 2005]
            |-- †Lapeyria magnifica Nel, Gand & Garric, 1999 [Lapeyriidae Nel, Gand & Garric, 1999]
            |-- †Campyloptera eatoni Brongniart, 1893 [Campylopterodea Rohdendorf, 1962: Campylopteridae Tillyard, 1928]
            `--o Nodialata Bechly, 1996
               |-- †Protanisoptera Carpenter, 1931
               `--o Discoidalia Bechly, 1996
                  |-- †Triadophlebioptera Bechly, 1996
                  `--o Stigmoptera Bechly, 1996 [= paraphyletic Protozygoptera Tillyard, 1925]
                     |--o †Permagrionoidea Tillyard, 1928 sensu Nel, Bechly, Prokop, Béthoux & Fleck, 2011
                     |  `--o †Permagrionidae Tillyard, 1928 sensu Nel, Bechly, Prokop, Béthoux & Fleck, 2011 [incl. Permolestidae Martynov, 1932; Solikamptilonidae Zalessky, 1948]
                     |     |-- †Permagrion falklandicum Tillyard, 1928 [Permagrionidae Tillyard, 1928 sensu Pritykina, 1980]
                     |     `--o †Permolestidae Martynov, 1932
                     |        |--o †Permolestes Martynov, 1932
                     |        |  |-- †P. gracilis Martynov, 1932
                     |        |  |-- †P. sheimogorai Nel, Bechly, Prokop, Béthoux & Fleck, 2011
                     |        |  `-- †P. soyanaiensis Nel, Bechly, Prokop, Béthoux & Fleck, 2011
                     |        |--o †Epilestes Martynov, 1937
                     |        |  |-- †E. kargalensis Martynov, 1937
                     |        |  |-- †E. gallica Nel et al., 1999
                     |        |  `-- †E. angustapterix Nel, Bechly, Prokop, Béthoux & Fleck, 2011; 87. [E. angustus Nel et al., 2011; 86. (lapsus calami)]
                     |        |-- †Scytolestes stigmalis Martynov, 1937
                     |        `--o †Solikamptilon Zalessky, 1948 [Solikamptilonidae Zalessky, 1948]
                     |           |-- †S. remuliforme Zalessky, 1948
                     |           `-- †S. pectinatus Nel, Bechly, Prokop, Béthoux & Fleck, 2011
                     `--+-- †Archizygoptera Handlirsch, 1906 sensu Grimaldi & Engel, 2005; Nel, Bechly, Prokop, Béthoux & Fleck, 2011
                        `--o Panodonata Bechly, 1996 [Neodonata Martynov, 1938]
                           |--o †Tarsophlebiidae Handlirsch, 1906
                           |  |--o †Tarsophlebia Hagen, 1866 [Tarsophlebiopsis Tillyard, 1923]
                           |  |  |-- †T. eximia (Hagen, 1862) [Heterophlebia eximia Hagen, 1862; Euphaea longiventris Hagen, 1862; Tarsophlebia major Handlirsch, 1906; ?Tarsophlebia longissima Handlirsch, 1906; Tarsophlebiopsis mayi Tillyard, 1923]
                           |  |  `-- †T. minor Fleck, Bechly, Martínez-Delclòs, Jarzembowski & Nel, 2004
                           |  `--o †Turanophlebia Pritykina, 1968
                           |     |-- †T. anglicana Fleck, Bechly, Martínez-Delclòs, Jarzembowski & Nel, 2004
                           |     |-- †T. martynovi Pritykina, 1968
                           |     |-- †T. mongolica Fleck, Bechly, Martínez-Delclòs, Jarzembowski & Nel, 2004
                           |     |-- †T. neckini (Martynov, 1927) Fleck et al., 2004 [Tarsophlebia neckini Martynov, 1927]
                           |     |?- ?†T. sibirica Pritykina, 1977
                           |     |-- †T. sinica Huang & Nel, 2009
                           |     `-- †T. vitimensis Fleck, Bechly, Martínez-Delclòs, Jarzembowski & Nel, 2004
                           `--o Odonata Fabricius, 1793 sensu stricto [Euodonata sensu Grimaldi & Engel, 2005] (modern dragonflies and damselflies; nykysudenkorennot)
                              |-- Epiproctophora Bechly, 1996 (dragonflies; erilaissiipismäiset sudenkorennot, aitosudenkorennot)
                              `-- Zygoptera Selys, 1854 (damselflies; yhtäläissiipiset sudenkorennot, neidonkorennot)

Note:

Grimaldi & Engel (2005) included †“Eomeganisoptera” Rohdendorf, 1962 and †Meganisoptera Martynov, 1932 to order †Protodonata. Phylogenetic treatment on this page follows Bechly, who considered †Protodonata paraphyletic.

Large number of clades named by Bechly are not commonly used and Grimaldi & Engel (2005) used traditional Odonata for the clade Odonatoclada Bechly, 1998

Reference(s):