The Spymaster: In the Imperial governance, the people who sit on the Imperial Security Executive, the council that runs Imperial State Security, which is composed of the heads of the five directorates, the admirals in charge of the Shadow Fleet, its military intelligence counterpart, and certain others, whose identity is not available anywhere. It’s also unique on the organization chart in that the Executive reports directly to the Imperial Couple as well as to its nominal superiors in the Ministry of Harmonious Serenity.
Plenty of other organizations, of course, have their own – even before we get into competing governments.
Public Execution: How things were done historically in the Empire – not for entertainment or bloodlust (they were generally rather solemn affairs), or for intimidation, but rather because of the transparency principles enshrined in the Imperial Charter; while the Imperial government might have lawful occasion to kill criminals, it was thought that this was not the sort of thing that ought to be done hidden away in a dark room somewhere. If it had to be done, it ought to be done in the light, and those ultimately responsible should own the deed.
In more modern times, while executions are done in private, the record is still published along with all the other records of the case by the Ministry of Harmonious Serenity; the Transparency Act admits of no exceptions.