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We estimate the average group morphological and dynamical characteristics ofthe Percolation-Inferred Galaxy Group (2PIGG) catalogue within z~0.08, forwhich the group space density is roughly constant. We quantify the differentbiases that enter in the determination of these characteristics and we devisestatistical correction procedures to recover their bias free values.  We find that the only acceptable morphological model is that of prolate, ortriaxial with pronounced prolatness, group shapes having a roughly Gaussianintrinsic axial ratio distribution with mean ~0.46 and dispersion of ~0.16.After correcting for various biases, the most important of which is a redshiftdependant bias, the median values of the virial mass and virial radius ofgroups with 4 to 30 galaxy members, is: Mv ~6 x 10^12 h_{72}^{-1} M_solar, Rv~0.4 h^{-1}_{72} Mpc, which are significantly smaller than recent literaturevalues that do not take into account the previously mentioned biases. The groupmean crossing time is ~1.5 Gyr's, independent of the group galaxy membership.We also find that there is a correlation of the group size, velocity dispersionand virial mass with the number of group member galaxies, a manifestation ofthe hierarchy of cosmic structures.Comment: ApJ in pres

Morphological and Dynamical Properties of Low‐Redshift Two Degree Field Galaxy Redshift Survey Groups