After Parker, 1982

<==o GASTEROMYCETES ()
   |--o Protogastrales ()
   |  |-- Protogastraceae ()
   |  |-- Hemigastraceae ()
   |  `-- Gastrosporiaceae ()
   |--o Hymenogastrales ()
   |  |-- Hymenogastraceae ()
   |  `-- Gasterellaceae ()
   |--o Podaxales ()
   |  `-- Podaxaceae ()
   |--o Gauteriales ()
   |  `-- Gauteriaceae ()
   |--o Agaricogastrales ()
   |  |-- Cribbiaceae ()
   |  |-- Secotiaceae ()
   |  |-- Asterogastraceae ()
   |  |-- Boletogastraceae ()
   |  `-- Rhizopogonaceae ()
   |--o Melanogastrales ()
   |  |-- Melanogastraceae ()
   |  `-- Torrendiaceae ()
   |--o Phallales ()
   |  |-- Clathraceae ()
   |  |-- Phallaceae ()
   |  |-- Hysterangiaceae ()
   |  |-- Claustulaceae ()
   |  |-- Protophallaceae ()
   |  `-- Gelopellidaceae ()
   |--o Lycoperdales ()
   |  |-- Arachniaceae ()
   |  |-- Mesophelliaceae ()
   |  |-- Geastraceae ()
   |  `-- Lycoperdaceae ()
   |--o Tulostomatales ()
   |  |-- Calostomataceae ()
   |  `-- Tulostomataceae ()
   |--o Sclerodermatales ()
   |  |-- Astraeaceae ()
   |  |-- Glischodermataceae ()
   |  |-- Broomeiaceae ()
   |  `-- Sclerodermataceae ()
   `--o Nidulariales ()
      |-- Sphaerobolaceae ()
      `-- Nidulariaceae ()

Reference(s):