After Parker, 1982, and “The Tree of Life”

<==o Brachycera (kärpäset, parafyleettiset muumiokotelokärpäset; flyes)
   |-- Vermileonidae
   |--+-- Xylophagidae
   |  `-- Pantophthalmidae
   |--+-- Xylomyidae
   |  `-- Stratiomyidae (asekärpäset)
   |--o Tapanomorpha (paarmamaiset)
   |  |--o Rhagionidae (sieppokärpäset)
   |  |  |-- †Simulidium priscum Westwood, 1854
   |  |  |--o †Pseudosimulium Handlirsch, 1906
   |  |  |  `-- †P. humidum (Brodie, 1845) [Simulium humidum Brodie, 1845]
   |  |  |-- †Scelorhagio mecomastigus Zhang, Zhang & Li, 1993
   |  |  `== other fossil and living rhagionids
   |  `--+-- Pelecorhynchidae
   |     `--+-- Athericidae
   |        `-- Tabanidae (paarmat)
   `--+--+?- †Rhagionemestrius Ussatchev, 1968 [Rhagionemestriidae]
      |  |?- †Sinonemestrius Hong & Wang, 1990 [Sinonemestriidae]
      |  |-- Acroceridae
      |  `--o Nemestrinidae Macquart, 1834
      |     |-- †Ahirmoneura neimengguensis Zhang, Yang & Re, in Zhang, Yang, Ren & Ge, 2008; U.Jur. EAs.
      |     |-- †Florinesmestrius pulcherrimus Ren, 1998; L.Cret. EAs.
      |     |-- †Protonemestrius jurassicus Ren, 1998; L.Cret. EAs.
      |     |-- Hirmoneura
      |     `== other fossil and living Nemestrinids
      `--+--+-- Dolichopodidae (kiilukärpäset)
         |  `-- Empididae (tanhukärpäset)
         |--o Asiloidea (petokärpäsmäiset)
         |  |-- Bombyliidae (kimalaiskärpäset)
         |  `--+-- Asilidae (petokärpäset)
         |     |--+-- Scenopinidae
         |     |  `-- Therevidae (tikarikärpäset)
         |     `--+-- Mydidae
         |        `-- Apioceridae
         `-- Cyclorrhapha (tynnyrikotelokärpäset)

Reference(s):