  The determination of the properties of neutron stars from the underlying
theory, QCD, is still an unsolved problem. This is mainly due to the difficulty
to obtain reliable results for the equation of state for cold, dense QCD. As an
alternative route to obtain qualitative insights, we determine the structure of
a neutron star for a modified version of QCD: By replacing the gauge group
SU(3) with the exceptional Lie group G2, it is possible to perform lattice
simulations at finite density, while still retaining neutrons. Here, results of
these lattice simulations are used to determine the mass-radius relation of a
neutron star for this theory. The results show that phase changes express
themselves in this relation. Also, the radius of the most massive neutron stars
is found to vary very little, which would make radius determinations much
simpler if this would also be true in QCD.
