We have completed an investigation (preliminary results for which were
reported in Oleak et al. 1995) into the shapes of Shakhbazian compact
groups of galaxies. Ellipticities for 299 groups in the Shakhbazian s
urvey have been examined using the technique proposed by Rood (1979) f
or deriving the average ''flatness'' of a large sample of objects. The
distribution of the apparent axial ratios (g = b/a) for the groups is
found to be broad with mean of [b/a] similar to 0.5. This distributio
n is compared with randomly generated spherical and elliptical model s
ystems. The results confirm the findings of our earlier study: the fre
quency distribution of axial ratios for Shakhbazian groups is represen
ted solely by a population of prolate spheroids with low intrinsic axi
al ratios, [q] = 0.3, sigma = +/-0.17 (assuming random true orientatio
ns in 3D space). This now provides further strong evidence that the Sh
akhbazian groups are more highly flattened than either rich clusters o
r elliptical galaxies, and represent the most elongated systems yet fo
und. The result also provides confirmation of the reality of the group
s, since in the case of systems of chance line-of-sight superpositions
of galaxies we would expect to see much higher axial ratios.