The composition of the society’s council is laid down in its constitution. The council for session 167 (2024-2025) is as follows.

President Margaret Greene (pres@gsocg.org)
Vice Presidents Margaret Donnelly
  Campbell Forrest
Honorary Secretary David Webster (sec@gsocg.org)
Treasurer Ian Veitch (treas@gsocg.org)
Ordinary Members Bobby Alexander
Margaret Anderson
Neil Clark
Simon Cuthbert
Bill Gray
John Guerrier
Luisa Hendry
Gary Hoare
Ian Millar
Lindsay Smith