  With the discovery of high energy {\gamma}-ray emission from the Andromeda
galaxy (M 31) by the Fermi/LAT collaboration, normal galaxies begin to arise
from the shadows for the first time, providing insight on cosmic ray
acceleration in external galaxies. We search for high energy {\gamma}-ray
emission from galaxies in the Local Group which were not investigated so far: M
81, M 83, IC 342, Maffei 1, Maffei 2 and M 94. Fermi/LAT public data from
August 4, 2008 to January 1, 2011 were analysed for these galaxies. We compare
the results to other starburst and normal galaxies detected at high energies so
far: the Magellanic clouds, M 31, and the starburst galaxies M 82 and NGC 253.
No significant detection is found in the data for the sources in our sample,
and we derive upper limits on their photon flux. Comparing the results to other
Local Group objects, we find that the derived upper limits are fully compatible
with expectations from cosmic rays interacting with the interstellar medium
within the host galaxies. In the case of M 33 and M 83, a detection in
Fermi/LAT data should be imminent. The expected fluxes for the other sources in
the sample are below the sensitivity of Fermi/LAT, even after 10 years of
observation. Collective emission from compact objects in the host galaxies is
also found to be negligible compared to the expected emission from cosmic ray
interactions.
