  We report on the initial results of a comprehensive Hubble Space Telescope
(HST) snapshot imaging survey of 76 low redshift (z < 0.15) X-ray-selected
active galactic nuclei (AGN) in the Einstein Extended Medium Sensitivity
Survey. This survey is expected to show no bias with respect to host galaxy
types and so is arguably one of the best available samples with HST imaging for
the study of the host galaxies. The HST observations in the F814W band are
complemented by deeper ground-based observations in the B and R bands for all
AGN. The absolute magnitudes for AGN in this sample lie in the range -24 <
M_{B(AB)} < -18$, bracketing the extrapolated break in the QSO luminosity
function (M_{B(AB)}= -22.3) at these low redshifts. We find a weak correlation
between the luminosity of the host galaxy and the central AGN. We find no
convincing cases of an AGN with no detectable host galaxy, although the
faintest host galaxies of moderately luminous AGN do extend as faint as
M_{B(AB)} = - 18. We find no evidence for strong interaction/merger activity in
any of the AGN in this sample. (abstract truncated)
