We present the results of a new analysis of the entire set of data col
lected by the Imaging Proportional Counter (IPC) on board the Einstein
Observatory. Our survey is distinct from previous work such as the Ei
nstein Extended Medium Sensitivity Survey (EMSS) in that it is designe
d to find extended sources and diffuse emission rather than point sour
ces. In addition, the source detection algorithm is substantially impr
oved over that used for the EMSS. We have searched for sources using c
ircular apertures with variable radii up to 6.10'. We have constructed
criteria to ascertain which of the detections are truly diffuse and w
hich of the sizes best approximates each detection. Using these criter
ia we have produced a catalog of 1326 extended source candidates at hi
gh Galactic latitude (\b\>20 deg). Cross-correlating this Bst with exi
sting source catalogs yields a reasonably comprehensive identification
of the sources in our list. We find that over 400 are identified with
known clusters of galaxies. Other objects are identified with galaxie
s, supernova remnants, AGN, and stars; the first two categories are of
ten truly extended objects, while the latter two sets of objects can a
ppear extended as a consequence of their soft X-ray spectra coupled wi
th the broad point spread function of the IPC at low energies. A total
of 321 extended sources remain unidentified. Many of these may be her
etofore uncataloged clusters and groups of galaxies at moderate redshi
fts. (C) 1997 American Astronomical Society.