IPC Section 55A

In sections 54 and 55 the expression “appropriate Government” means:

1. in cases where the sentence is a sentence of death or is for an offence against any law relating to a matter to which the executive power of the Union extends, the Central Government; and
2. in cases where the sentence (whether of death or not) is for an offence against any law relating to a matter to which the executive power of the State extends, the Government of the State within which the offender is sentenced.

Read more at: https://devgan.in/ipc/section/55/