  To reveal small galaxy groups in the Local Supercluster, a new approach is
suggested which allows for individual properties of galaxies. The criterion is
based on the assumption of closed motions of companions around the dominating
group member within a zero velocity sphere.
  The criterion is applied to a sample of 6321 nearby galaxies with radial
velocities $V_0\le3000$ km/s. The 3472 galaxies have been assigned to 839
groups that include 55% of the considered sample. For the groups revealed by
the new algorithm (with $k \geq 5$ members) the median velocity dispersion is
86 km/s, the median harmonic radius is 247 kpc, the median crossing time is
0.08(1/H), and the median virial-mass-to-light ratio is $56 M_\odot/L_\odot$.
