Giuseppe Zangara shot Chicago mayor Anton Cermak (missing his main target, FDR) on Feb. 15, 1933. Cermak died on March 6, at which point Zangara was indicted, tried, convicted and then executed on March 20 - two weeks after his indictment.
Even better...
One Lee Harvey Oswald was executed less than 3 days after his arrest for the murder of John Kennedy.
Granted it was not a court approved legal execution, but it was mandated by the Deep State nonetheless.