南亚殖民地官方名字只用 British Raj（1858-1947），非官方名字有 Indian Empire

"The region was sometimes called the Indian Empire, though not officially"

https://en.wikipedia.org/wiki/British_Raj#:~:text=It%20lasted%20until%201947%2C%20when,Bangladesh%20gained%20independence%20from%20Pakistan.