  For each nonnegative integer $g$, we classify the ramification types and
monodromy groups of indecomposable coverings of complex curves $f: X\to Y$
where $X$ has genus $g$, under the hypothesis that $n:=\deg(f)$ is sufficiently
large and the monodromy group is not $A_n$ or $S_n$. This proves a conjecture
of Guralnick and several conjectures of Guralnick and Shareshian.
