The only eon that had periods was the Phanerozoic eon
The Paleozoic era had 6 periods : Cambrian, Ordovician, Silurian, Devonian, Carboniferous, and Permian
The Mesozoic era had 3 periods : triassic, Jurassic, and Cretaceous
The Cenozoic era had 2 periods : tertiary and quaternary (Pleistocene - Recent)