Hashimi said the operation was carried out in cooperation with US forces, part of an American-led coalition fighting against Islamic State on both sides of the Iraqi-Syrian border.
Riyadh al-Badran, an IHEC senior official, told the official Iraqiya TV channel that "he would not announce the results of the early ballot by the security forces, prisoners and the voting overseas".
Two Iraqi intelligence officials said those captured included four Iraqis and one Syrian whose responsibilities included governing the Islamic State's territory around Deir al-Zour, Syria, directing internal security and running the administrative body that oversees religious rulings.
According to the Daily Mail, the terrorists were "lured" from Syria into Iraq using a popular mobile phone application.
The list did not include Islamic State leader Abu Bakr al-Baghdadi.
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Following Eithawi's capture, Iraqi and American intelligence agents were able to uncover bank accounts used by the group and also secret communication codes he used, Hashimi told the news service.
"The noose is tightening around him", Hashimi said, referring to Baghdadi.
Users in the comments asked: "How many were released of the ISIS leaders from Guantamo Obama" - Obama has released dozens of terrorists, and trump will bring them to justice, because Obama was too busy to fight ISIS"; "And these terrorists are friends of Obama or Kerry?
Abadi declared final victory last December over the group, which overran a third of Iraq in 2014.
The leaders were taken in Iraq after months of strategic planning by the USA, including the CIA, Turkey and Iraqi forces.