  Recent developments in string theory have reinforced the notion that the
space of stable supersymmetric and non-supersymmetric string vacua fills out a
``landscape'' whose features are largely unknown. It is then hoped that
progress in extracting phenomenological predictions from string theory -- such
as correlations between gauge groups, matter representations, potential values
of the cosmological constant, and so forth -- can be achieved through
statistical studies of these vacua. To date, most of the efforts in these
directions have focused on Type I vacua. In this note, we present the first
results of a statistical study of the heterotic landscape, focusing on more
than 10^5 explicit non-supersymmetric tachyon-free heterotic string vacua and
their associated gauge groups and one-loop cosmological constants. Although
this study has several important limitations, we find a number of intriguing
features which may be relevant for the heterotic landscape as a whole. These
features include different probabilities and correlations for different
possible gauge groups as functions of the number of orbifold twists. We also
find a vast degeneracy amongst non-supersymmetric string models, leading to a
severe reduction in the number of realizable values of the cosmological
constant as compared with naive expectations. Finally, we also find strong
correlations between cosmological constants and gauge groups which suggest that
heterotic string models with extremely small cosmological constants are
overwhelmingly more likely to exhibit the Standard-Model gauge group at the
string scale than any of its grand-unified extensions. In all cases, heterotic
worldsheet symmetries such as modular invariance provide important constraints
that do not appear in corresponding studies of Type I vacua.
