system
Given the following post, respond as if you're commenting on Reddit:
human
[1984] Is it ever established who the supreme leader/head of the Inner Party is?

I just finished the book and the movie, and I don't believe it's ever established who the head of State is, beyond the symbolic Big Brother, who may or may not actually exist.

We know of two Inner Party members, O'Brien and the shop clerk. But we are never given a clue as to who actually controls the Party/State beyond the Big Brother image.
gpt
There is no supreme leader. The inner party itself is the leader. It exists merely to perpetuate it's own power and status. Any attempts to coalesce behind an individual rather than the party itself is met with imprisonment or worse. 

There's likely a figurehead that acts as a mouthpiece to the party but they are far removed from being anything more than a town crier for the whims of big brother.