The list of possible G-H symmetries for triply-periodic balance surfac
es, given by Koch and Fischer, is studied with a view to finding new t
ypes. It is found that balance surfaces exist for all the cases that w
ere labelled as undecided in the work of Koch and Fischer. For some of
these, new minimal surfaces have been found, with the aid of Brakke's
'Surface Evolver'. (C) 1997 Elsevier Science B.V.