Clade †Pterosauria Owen 1842 [Andres & Padian 2020] see Order Pterosauria Kaup, 1834
   Clade †Macronychoptera Unwin 2003 [Andres 2021]
     Clade †Novialoidea Kellner 2003 [Andres 2021]
       Clade †Breviquartossa Unwin 2003 [Andres 2021]
         Clade †Pterodactylomorpha Andres, Clark & Xu 2014 [Andres 2021] see Suborder Pterodactylomorpha Schaller, 2007
           Clade †Monofenestrata Lü, Unwin, Jin, Liu & Ji 2010 [Andres 2021]
             Clade †Pterodactyliformes Andres, Clark & Xu 2014 [Andres 2021]
               Clade †Caelicodracones Andres, Clark & Xu 2014 [Andres 2021] see Clade Caelidracones Unwin 2003
                 Clade †Pterodactyloidea Plieninger 1901 [Andres & Padian 2020] see Infraorder Pterodactyloidea Plieninger, 1901
                   Clade †Lophocratia Unwin 2003 [Andres 2021]
                     Clade †Eupterodactyloidea Bennett 1994 [Andres 2021]
                       1 Genus †Haopterus Wang & Lü, 2001
                       2 Clade †Ornithocheiroidea Seeley 1876 [Andres 2021] nom. cl. inval. see Clade Ornithocheiroidea Seeley 1878 [Thomas & McDavid 2025]