After Parker, 1982

<==o Caenogastropoda
   |--o Neotaenioglossa
   |  |--o Pterotracheoidea Rafinesque, 1814 [Carinarioidea Blainville, 1818; Heteropoda]
   |  |  |-- Atlantidae
   |  |  |-- Carinariidae
   |  |  `-- Pterotracheidae
   |  |-- Discopoda
   |  `--o Ptenoglossa
   |     |--o Triphoroidea
   |     |  |-- Triphoridae 
   |     |  |-- Cerithiopsidae 
   |     |  `-- Triforidae 
   |     |--o Epitonioidea
   |     |  |-- Epitoniidae 
   |     |  |-- Aclididae 
   |     |  `-- Janthinidae 
   |     `--o Eulimoidea 
   |        `-- Eulimidae 
   `--o Neogastropoda
      |--o Muricoidea
      |  |--o Muricidae 
      |  |  |-- Muricinae 
      |  |  |-- Thaidinae 
      |  |  `-- Coralliophilinae 
      |  |--o Turbinellidae 
      |  |  |-- Turbinellinae 
      |  |  |-- Columbariinae 
      |  |  `-- Vasinae 
      |  |-- Buccinidae 
      |  |-- Fasciolariidae 
      |  |-- Melongenidae 
      |  |-- Nassariidae 
      |  |-- Columbellidae 
      |  |--o Harpidae 
      |  |  |-- Harpinae 
      |  |  `-- Moruminae 
      |  |-- Marginellidae 
      |  |-- Cystiscidae 
      |  |-- Pleioptygmatidae 
      |  |-- Mitridae 
      |  |-- Costellariidae 
      |  |--o Olividae 
      |  |  |-- Olivinae 
      |  |  `-- Ancillinae 
      |  |-- Volutidae 
      |  `-- Volutomitridae 
      |--o CANCELLARIOIDEA 
      |  `-- Cancellariidae 
      `--o CONOIDEA 
         |-- Conidae 
         |-- Terebridae 
         `--o Turridae 
            |-- Turrinae 
            |-- Borsoniinae 
            |-- Cochlespirinae 
            |-- Crassispirinae 
            |-- Daphnellinae 
            |-- Drilliinae 
            `-- Mangeliinae 

Reference(s):

Specias thanks:

to Roger Seapy, for clearing the status of Heteropoda.