Symmetry points in the Brillouin zone are specific to each Bravais lattice type. You have 2 options if you want to see the symmetry points defined in ATK for some lattice:
1) Use the Brillouin Zone Viewer (Builder --> Bulk Tools).
2) Use the command line:
lattice = FaceCenteredCubic(4*Angstrom)
lattice.symmetryPoints()
{'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])}