Yes, FRR - Flag Rep Reports. Shame on me for not remembering my own flipping stats. There was also FRC I think, Flag Rep Compliances, FRCP - Flag Rep Completed Programs and there might have been another one to do with International Management Briefings ... oh, too long ago.
There are six basic reports the org is required to fill out, from memory. The Flag Rep keeps a log of every change in the org - good and bad - the Flag Rep Change Log. This is used to help find successful actions and unsuccessful actions - things that crashed the stats and things that boomed them.
Now, the successful Flag Rep is something like a management spy. I was not a successful Flag Rep. Although I did at one stage have graphs going right up the wall like they were supposed to have had at Old Saint Hill. Later I found I'd had false data about what I could send to Flag to count on my stats so I spammed the shit out of them, something for which I am now abundantly proud. They got a copy of every body routing survey ever done - every personality test ever attempted, every auditing session worksheet ever written ... ROFL! They were like, shit, where the hell do we file all this crap! Oh, still LOLing! Thank you whichever other Flag Rep gave me that false data.
But anyway, the Flag Rep is theoretically equal to the ED. In practice people just ignored me and I begged and wheedled to try and get compliance. I could have sent for a mission at any time, but my loyalties were divided between the Sea Org and our little local staff team. When I first graduated from the EPF, they were all like, "Are you going to call her 'Sir'? Nup. Are you? Nup," I found out later, but since I wanted to be called 'Sir' like I wanted a hole in the head I wasn't particularly phased.
Anyway, the FR theoretically tells management what is going on in the org, what is being talked about, who was and wasn't on post, what is the attitude toward management intentions - all that sort of stuff.
Also, in practice, I was terrified of the ED, a complete psycho. The 'tone level' of the org was consistently 'fear', and 'being objects' like a chair or a desk, or something inanimate and unnoticeable. With hindsight he was under a lot of stress, but he really ruined some lives, shredded some well-meaning, good value people.
So, yes, in theory the FR is the same rank as the ED and they both have authority to order tasks done in different spheres.
The FR loses points if a Compliance Report is rejected - basically they send them back and if one comes back as rejected you have to take it off the stat the following week. Also, you get I think plus 5 for each required report done of the basic org reports and minus 10 for each report not done. Since we had no bookstore officer, this meant that as the Flag Rep I had to do the Bookstock Report each week or lose the points. There were also other reports which I don't remember - I think one was WIAC - What is a course courseroom inspection that the Course Sup did for me if we were lucky enough to have one.
Anyway, those who remember more, please chip in!