  We have redefined group membership of six southern galaxy groups in the local
universe (mean cz < 2000 km/s) based on new redshift measurements from our
recently acquired Anglo-Australian Telescope 2dF spectra. For each group, we
investigate member galaxy kinematics, substructure, luminosity functions and
luminosity-weighted dynamics. Our calculations confirm that the group sizes,
virial masses and luminosities cover the range expected for galaxy groups,
except that the luminosity of NGC 4038 is boosted by the central starburst
merger pair. We find that a combination of kinematical, substructural and
dynamical techniques can reliably distinguish loose, unvirialised groups from
compact, dynamically relaxed groups. Applying these techniques, we find that
Dorado, NGC 4038 and NGC 4697 are unvirialised, whereas NGC 681, NGC 1400 and
NGC 5084 are dynamically relaxed.
