Conocardiidae Miller, 1889

Aphelakardia Hoare, 1990

Arceodomus Pojeta & Runnegar, 1976

Conocardium Bronn, 1834

Leptoconocardium

Minycardita Hoare & Plas, 2003

Oxyprora Hoare, Mapes & Yancey, 2002