From Library Data:
"The Duke of Regina,* speaking for the Marches, proposed that the Marches fund one additional ship from its own resources, on the condition that the Marches receive a contract to produce a portion of the total run...
the sector government came up with the idea, and implemented it at the highest levels**. Given a population of 783 billion in the Marches (under direct Imperial rule)...
The bureaucracy simply deducted this sum from funds budgeted to education...
Aside from the initial notification from sector government..****."
*subsector level government, petitioning the Imperium on behalf of the sector, so it goes up the chain to the sector duke and their administration.
**the sector level government, the (sector)duke and the sector level bureaucracy
***the sector level bureaucracy has a department that has funds allocated to world education systems
****so how I think it works -
subsector level - duke, ducal houshold, ducal appointments to individual worlds, works with the sector level Imperial bureaucracy
sector level - (sector)duke, ducal houshold, ducal appointments to individual worlds (within subsector), oversight of sector level Imperial bureaucracy. Does the (sector)duke spy on the subsector dukes via the bureaucracy... that is for the individual referee to decide.
I think the Ministries are a tier above the sector level in that they coordinate activities via local sector bureaucracy and nobles for the benefit of the Imperium as a whole - Ministry of Colonisation and Ministry of Conservation are named in the fluff text of S:3
Checking the Bureaucrat career in S:4, the perfect individual has a Str of 8 or less, an Int of 9+, Edu of 8+/10+, and Soc 9+ and has access to an interesting skill mix...