It does sound a little like the kind of shadowy yet powerful organisation which is believed by some to control the entire world, but from what I can make out it seems to be a lobbying group of big bosses who occasionally meet the Prime Minister to argue their corner.
We may soon know more about it, as the Information Commissioner has instructed the Cabinet Office to reveal some background briefing material relating to the meetings. However Downing St won't have to disclose the speaking notes officials prepared for Tony Blair, partly because he might not actually have bothered to read out the points that his minions felt he ought to be making.
One interesting little detail of the judgment is that whoever requested the information did so on 4 January 2005, the first working day of the FOI era. And I thought we were meant to live in a time of instant gratification.
The Commissioner's press release announcing the judgment, issued today, focuses somewhat surprisingly on the information to be withheld not that to be released.
It's the latest in a series of 'dog bites man' ICO press releases with a topline angled on the Commissioner backing public authorities when they have kept information secret. Anyone would think that the Commissioner is trying to get a reputation for protecting secrecy.