Dictyoptera
Blattaria 
Isoptera 
Eumantodea
Chaeteesidae Chaetiessa
Mantoididae Mantoida
?Metallyticidae
Metallyticus
Artimantodea 
Thespidae Thespis
Photininae
(in Mantidae)
Acanthopidae Acanthops
?Metallyticidae Metallyticus
Cernomantodea
Iridopterygidae
Mantidae Mantis
Tarachodidae Tarachodes
Amorphoscelidae
Eridopterygidae
Litugusidae
Thespidae
Eremiaphilidae Eremoaphila
Toxoderidae
Hymenopodidae
Empusidae Empusa
Sibyllidae Sibylla