  We study global structures of black hole solutions in Einstein gravity with
Gauss-Bonnet term coupled to dilaton in various dimensions. In particular we
focus on the problem whether the singularity is weakened due to the
Gauss-Bonnet term and dilaton. We find that there appears the non-central
singularity between horizon and the center in many cases, where the metric does
not diverge but the Kretschmann invariant does diverge. Hence this is a
singularity, but we find the singularity is much milder than the Schwarzschild
solution and the non-dilatonic one. We discuss the origin of this "fat"
singularity. In other cases, we encounter singularity at the center which is
much stronger than the usual one. We find that our black hole solutions have
three different types of the global structures; the Schwarzschild,
Schwarzschild-AdS and "regular AdS black hole" types.
