Pterygota
Neoptera Martynov
1923 = Neopterygota Crampton 1924
Palaeoptera Martynov 1923
Palaeodictyopteroida
Eupalaeoptera taxon nov.
= Hydropalaeoptera (sensu Kukalova-Peck)
Ephemeroptera
= Panephemeroptera
Crampton 1928
Odonatoptera Martynov 1932
= Odonata sensu Lochmann 1996, etc.
= Cryptodonta
= Odontota 
= Odonatoptera Lameere 1900?
= Paraneuroptera Shipley 1904
= Zygopteradelphia Crampton 1916
= Panzygoptera Crampton 1916
= Panaeshnoptera Crampton 1928
= Odonatoidea Lameere 1936
= Pantyloptera Crampton 1938
= Tyloptera Crampton 1938
= Bioptera Rivers 1940
= Orthomyaria Schwanwitsch 1943
= Odonatopterata Boudreaux 1979
= Eupalaeoptera Matsuda 1981
= Odonatopteroida Muller 1989
Geroptera Brodsky 1994
Neodonatoptera
Bechly 1996
"Eomeganisoptera"
Rohdendorf 1962
Euodonatoptera Bechly & Zessin &
Brauckmann, in prep., taxon nov.
Meganisoptera
Martynov 1932
Odonatoclada Bechly (taxon nov.)
Campylopterodea
Rohdendorf
1962 
Campyloptera
Nodialata
Bechly 1996
Protanisoptera
Carpenter 1931
Discoidalia
Bechly 1996
Triadophlebioptera
Bechly 1996
Stigmoptera
Bechly
1996
Protozygoptera
Tillyard 1925
Panodonata
Bechly 1996 = Neodonata Martynov 1938
Tarsophlebiidae
Handlirsch 1906 =
Tarsophlebioptera Bechly 1996
Odonata
Fabricius 1793 = Odontata Tillyard 1917
Zygoptera
Selys 1854
Eosagrionidae
Handlirsch 1920 Easagrion
Caloptera Belyshev &
Haritonov 1983
Sieblosiidae
Handlirsch 1907 Sieblosia
Eucaloptera
Bechly 1996
Amphipterygida
Bechly 1996 Amphipteryx
Calopterygomorpha
Bechly 1996 Calopteryx
Euzygoptera
Bechly 1996
Lestomorpha
Bechly 1996 Lestes
Coenagrionomorpha
Bechly 1996 Coenagrion
Epiproctophora
Bechly 1996
Steleopteridae
Handlirsch 1906 Steleopteron
Isophlebioptera
Bechly 1996
Euthemistidae
Pritykina 1968 Euthemis
Parazygoptera
Bechly 1997
Sphenophlebiidae
Bechly 1997 Sphenophlebia
Euparazygoptera
Bechly 1997
Asiopteridae
Pritykina 1968 Asiopteron
Triassolestoidea
Tillyard 1918 Triassolestes
Solenothemistidae
Handlirsch 1920 Selenothemis
Isophlebiida
Bechly 1996 Isophlebia
Euepiproctophora Bechly (taxon nov.)
Epiophlebiidae
Mittkowsky 1910 Epiophlebia
Anisopteromorpha
Bechly 1996
Heterophlebioptera
Bechly 1996
Myopophlebiidae
Bode 1953 Myopophlebia
Heterophlebioidea
Needham 1903 Heterophlebia
Trigonoptera
Bechly 1996
Stenophlebioptera
Bechly 1996
Gondvanogomphidae
Bechly 1996 Gondvanogomphus
Stenophlebiidae
Needham 1903 Stenophlebia
Pananisoptera
Bechly 1996
Liassogomphidae
Tillyard 1935 Liassogomphus
Neoanisoptera
Bechly, submitted
Aeschnidiidae
Needham 1903 Aeschnidium
Anisoptera Selys in Selys &
Hagen 1854
Petalurida
Bechly 1996 Petalura
Euanisoptera
Bechly 1996
Aeshnoptera
Exophytica
Bechly 1996 = Exophyticata Lohmann 1996
Gomphides
Bechly & al. 1998 Gomphus
Araripegomphidae
Bechly 1996 Araripegomphus
Progomphidae Carle
1986 Progomphus
Desmoproctida
Bechly 1996
Lindeniidae
Jacobson & Bianchi 1905 Lindenia
Oligophlebiata taxon nov.
Hagenioidea
Tillyard & Fraser 1940 Hagenius
Brevicubitalia taxon nov.
Cavilabiata
Bechly 1996 = Cavolabiata Lohmann 1996
Cordulegastrida
Bechly 1996 Cordulegaster
Cristotibiata taxon nov.
= Carinitibiata Bechly 1996 (incorrectly latinized)
= Ocreata Lohmann 1996
Neopetaliidae
Tillyard & Fraser 1940 Neopetalia
Brachystigmata
Bechly 1996 = Brevistigmata Lohmann 1996
Nannogomphidae
Bechly 1996 Nannogomphus
Eubrachystigmata taxon nov.
Hemeroscopidae
Pritykina 1977 Hemeroscopus
Neobrachystigmata taxon nov.
Chlorogomphida
Bechly 1996 Chlorogomphus
Paneurypalpidomorpha taxon nov.
Juracorduliidae
fam.nov. Juracordulia
Eurypalpidomorpha taxon nov.
Valdicordulioidea
Bechly 1996 (stat.nov.) Valdicordulia
Eurypalpidiformia taxon nov.
Eocorduliidae
Bechly 1996 Eocordulia
Paneurypalpida
Bechly 1996
Araripelibellulidae
Bechly 1996 Araripelibellula
Eurypalpida
Bechly 1996 = Palpolabiata Lohmann 1996
Synthemistidae Tillyard
1911 Synthemis
Neolamellida
Bechly 1996 = Firmonervata Lohmann 1996
Gomphomacromiidae
Tillyard & Fraser 1940 Gomphomacromia
Valvulida
Lohmann 1996
Pseudocorduliidae
Lohmann 1996 Pseudocordulia
Trichodopalpida
Bechly 1996 = Trichopalpida Lohmann 1996
Macromiidae
Needham 1903 Macromia
Laterocarinida
Bechly 1996
Austrocorduliidae
Bechly 1996 Austrocordulia
Mediocostida
Bechly 1996
Idionychidae
Tilyard & Fraser 1940 Idionyx
Longiansida
Bechly 1996
Idomacromiidae
Tilyard & Fraser 1940 Idomacromia
Liberaponsida
Bechly 1996
Cordulephyidae
Tillyard 1917 Cordulephya
Haplohamulida
Bechly 1996
Oxygastridae
Bechly 1996 Oxygastra
Italoansida
Bechly 1996
Corduliidae
Selys (in Selys & Hagen 1850) Cordulia
Anauriculida
Bechly 1996
Hemicorduliidae
Bechly 1996 Hemicordulia
Libellulida
Bechly 1996 Libellula
Urthemistidae
Lieftinck 1954 (stat.nov.) Urothemis
Eulibellulidae
Bechly 1996 = Libellulidae
Leach 1815 Libellula