The officers of the King of Babylon played significant roles in the administration and execution of the king's decrees, as well as in the broader governance of the Babylonian Empire. These officials are mentioned in various biblical accounts, particularly in the context of the Babylonian captivity of the Israelites.

1. Nebuzaradan, the Captain of the Guard:
Nebuzaradan is one of the most prominent officers mentioned in the Bible. He served as the captain of the guard under King Nebuchadnezzar II. Nebuzaradan was responsible for the destruction of Jerusalem and the burning of the Temple in 586 BC. He carried out the king's orders to deport the inhabitants of Judah to Babylon. In 2 Kings 25:8-11 , it is recorded: "On the seventh day of the fifth month, in the nineteenth year of Nebuchadnezzar’s reign over Babylon, Nebuzaradan the captain of the guard, a servant of the king of Babylon, entered Jerusalem. He burned down the house of the LORD, the royal palace, and all the houses of Jerusalem—every significant building. And the whole army of the Chaldeans under the captain of the guard broke down the walls around Jerusalem."

2. Ashpenaz, the Chief of the Court Officials:
Ashpenaz was the chief of the court officials during the reign of Nebuchadnezzar. He was tasked with selecting and training young men from the Israelite nobility to serve in the king's palace. This included Daniel, Hananiah, Mishael, and Azariah, who were given Babylonian names and educated in the literature and language of the Chaldeans. Daniel 1:3-4 states: "Then the king ordered Ashpenaz, the chief of his court officials, to bring in some Israelites from the royal family and the nobility—young men without blemish, handsome, gifted in all wisdom, knowledgeable, quick to understand, and qualified to serve in the king’s palace—and to teach them the language and literature of the Chaldeans."

3. Arioch, the Commander of the King's Guard:
Arioch is mentioned in the Book of Daniel as the commander of the king's guard. He was ordered by Nebuchadnezzar to execute the wise men of Babylon when they failed to interpret the king's dream. However, Daniel intervened, requesting time to interpret the dream, which ultimately led to the revelation of the dream's meaning. Daniel 2:14-15 records: "When Arioch, the commander of the king’s guard, had gone out to execute the wise men of Babylon, Daniel replied with discretion and tact. He asked Arioch, the king’s officer, 'Why is the decree from the king so harsh?' Then Arioch explained the situation to Daniel."

4. Rabmag, the Chief Magician:
The title "Rabmag" refers to a high-ranking official or chief magician in the Babylonian court. Although not much is detailed about this position in the Bible, it is mentioned in Jeremiah 39:3 during the account of the fall of Jerusalem: "Then all the officials of the king of Babylon came and sat in the Middle Gate: Nergal-sharezer of Samgar, Nebo-sarsekim the Rab-saris, Nergal-sharezer the Rabmag, and all the rest of the officials of the king of Babylon."

These officers were instrumental in the administration of the Babylonian Empire and played crucial roles in the events surrounding the Babylonian captivity. Their actions and decisions had significant impacts on the lives of the Israelites and the unfolding of biblical history.