After “The Tree of Life”, and Grimaldi & Engel, 2005

<==o †Palaeodictyoptera [paraphyletic]
   |--o †Dictyoneuridae
   |  |-- †Cleffia
   |  |-- †Dictyoneurula 
   |  |-- †Goldenbergia 
   |  |-- †Kallenbergia 
   |  |-- †Macrodictya 
   |  |-- †Microdictya 
   |  |-- †Polioptenus 
   |  |-- †Rotundopteris 
   |  |-- †Sagenoptera 
   |  |-- †Schmidtopteron 
   |  |-- †Siberiodictya 
   |  |-- †Stenodictya 
   |  |-- †Stenodictyoneura
   |  `-- †Stilbocrocis 
   |--o †Lithomanteidae
   |  |--o †Lithomantis
   |  |  `-- †Lithomantis carbonaria
   |  |-- †Lusiella
   |  `-- †Synarmoge
   |--o †Megaptilidae
   |  |-- †Megaptilus
   |  `-- †Lithoptilus
   |--+-- †Archaemegaptilus [Archaemegaptilidae]
   |  |--o †Calvertiellidae Martynov, 1931
   |  |  |-- †Calvertiella
   |  |  |-- †Carrizopteryx
   |  |  |--o †Moravia Kukalova 1964
   |  |  |  `-- †M. grandis Carpenter, 1979
   |  |  |-- †Moraviptera
   |  |  `-- †Sharovia
   |  `--o †Eugereonidae
   |     |-- †Eugereon
   |     |-- †Dictyoptilus
   |     |-- †Peromaptera
   |     |-- †Sandiella
   |     `-- †Valdeania
   |--o †Lycocercidae
   |  |-- †Lycocercus
   |  |-- †Apopappus
   |  |-- †Lycodemas
   |  |-- †Lycodus
   |  |-- †Madera
   |  |-- †Notorachis
   |  `-- †Polycreagra
   |--o †Graphiptilidae
   |  |-- †Graphiptilus
   |  `-- †Rhabdoptilus
   |--o †Breyeriidae
   |  |?- †Megaptiloides (incertae sedis)
   |  |?- †Stobbsia (incertae sedis)
   |  |-- †Breyeria
   |  `-- †Hasala
   |--o †Tchirkovaeidae Sinichenkova, 1979
   |  |-- †Tchirkovaea Zalessky, 1931
   |  `-- †Paimbia
   |--o †Homoiopteridae
   |  |--o †Homoioptera
   |  |  |-- †(Homoioptera)
   |  |  `-- †(Anthracentomon)
   |  |     `-- †H. (A.) latipenne
   |  |-- †Adolarryia
   |  |-- †Boltopruvostia
   |  |-- †Larryia
   |  |-- †Mazonopterum
   |  |-- †Mazothairos
   |  |-- †Parathesoneura
   |  |-- †Scepasma
   |  |-- †Thesoneura
   |  `-- †Turneropterum
   |-- †Mecynostomata [Mecynostomatidae]
   |--o †Fouqueidae
   |  |-- †Fouquea
   |  `-- †Neofouquea
   |--o †Spilapteridae
   |  |-- †Abaptilon (incertae sedis)
   |  |-- †Mcluckiepteron (incertae sedis)
   |  |-- †Neuburgia (incertae sedis)
   |  |-- †Spiloptilus (incertae sedis)
   |  |-- †Baeoneura
   |  |-- †Becquerelia
   |  |-- †Delitzschala bitterfeldensis
   |  |-- †Dunbaria fascipennis
   |  |-- †Epitethe
   |  |-- †Homaloneura
   |  |-- †Lamproptilia
   |  |-- †Palaeoptilus
   |  |-- †Paradunbaria
   |  |-- †Permiakovia
   |  |-- †Sheltoweeptera
   |  |-- †Spilaptera
   |  |-- †Tectoptilus
   |  `-- †Vorkutoneura
   `--o †Elmoboriidae
      |-- †Elmoboria 
      `-- †Oboria


†Palaeodictyoptera incertae sedis:

   †Althansia
   †Ametretus
   †Amousus
   †Anagesthes
   †Anthracosta
   †Asiodictya
   †Bathytaptus
   †Bojoptera
   †Boltonocosta
   †Catadyesthus
   †Compsoneura
   †Diexodus
   †Eumecoptera
   †Eurydictyella
   †Eurythmopteryx
   †Gegenemene
   †Haplophlebium
   †Heolus
   †Idoptilus
   †Jongmansia
   †Mammia
   †Mecynoptera
   †Mecynostomites
   †Monsteropterum
   †Palaiotaptus
   †Palapteris
   †Paramecynostoma
   †Paramegaptilus
   †Platephemera
   †Propalingenia
   †Pseudomecynostoma
   †Psychroptilus
   †Pteronidia
   †Rochdalia
   †Saarlandia
   †Sabitaptus
   †Schedoneura
   †Severinopsis
   †Titanodictya
   †Turnbullia

Reference(s):