After Whittington, Chang, Dean, Fortey, Jell, Laurie, Palmer, Repina, Rushton & Shergold, 1997

<==o †Calodiscidae Kobayashi, 1943 [nom. transl. Öpik, 1975a ex Calodiscinae Kobayashi, 1943] [Brevidiscinae Kobayashi, 1943; Neocobboldinae S. Zhang, in W. Zhang, Lu et al., 1980]
   |--o †Calodiscus Howell, 1935b [nom. nov. pro Goniodiscus Raymond, 1913b non Müller & Troschel, 1842] [Brevidiscus Kobayashi, 1943]
   |  |-- †C. lobatus (Hall, 1847)
   |  `-- †C. lunulatus (Kobayashi, 1943) [Brevidiscus lunalatus Kobayashi, 1943]
   |--o †Chelediscus Rushton, 1966
   |  `-- †C. acifer Rushton, 1966
   |--o †Korobovia Jell in Bengtson et al., 1990
   |  `-- †K. ocellata Jell in Bengtson et al., 1990
   |--o †Neocobboldia Rasetti, 1952a [nom. nov. pro Cobboldia Lermontova, 1940 non Brauer, 1887; nec Leipwer, 1910] [Margodiscus Korobov, 1980]
   |  |-- †N. dentata (Lermontova, 1940) [Cobboldia dentata Lermontova, 1940]
   |  `-- †N. rackovskii (Korobov, 1980) [Margodiscus rackovskii Korobov, 1980]
   |--o †Pseudocobboldia Hupé in Boudda, Choubert & Faure-Muret, 1979
   |  `-- †P. pulchra (Hupé, 1953a) [Cobboldia? pulchra Hupé, 1953a]
   `--o †Sinodiscus W. Chang in Lu et al., 1974 [Tologoja Korobov, 1980]
      |-- †S. shipaiensis W. Chang in Lu et al., 1974
      `-- †S. subquadrata (Korobov, 1980) [Tologoja subquadrata Korobov, 1980]

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