Overview
A subprefecture is an administrative division of a country that is below prefecture or province.
Albania
There are twelve Albanian counties or prefectures, each of which is divided into several districts, sometimes translated as subprefectures.
Examples: District of Korçë, District of Sarandë
Brazil
In Brazil the subprefectures are administrative divisions of some big cities, such as São Paulo and Rio de Janeiro. The head of a subprefecture, the subprefeito, is indicated by the municipality's mayor (in Brazil called prefeito).
From Wikipedia (CC BY-SA 4.0).