I found out more about the show - it was called Nap Attack and was shown in 2002. With the Group the actual difficulty was that they required three people to write the minutes, and it would still take a long time to sort out the records afterwards, and that voting is hard as people fall asleep during the proposals.
It looks like the programme is being shown in Singapore later this month on the BBC Knowledge channel http://singapore.bbcknowledge.com/napattack/
