The symmetry points for some crystal type, e.g. FCC, is a property of the Bravais lattice (i.e. encoded into ATK). You can easily use NanoLanguage to query for these symmetry points once you have a bulk configuration:
bulk = nlread('Silver.nc', BulkConfiguration)[0]
lattice = bulk.bravaisLattice()
lattice.symmetryPoints()
Run those lines in a Terminal (perhaps as a script). The symmetry points and their coordinates are printed:
{'G': array([ 0., 0., 0.]),
'K': array([ 0.375, 0.375, 0.75 ]),
'L': array([ 0.5, 0.5, 0.5]),
'U': array([ 0.625, 0.25 , 0.625]),
'W': array([ 0.5 , 0.25, 0.75]),
'X': array([ 0.5, 0. , 0.5])}