  This paper verifies Abhyankar's Inertia Conjecture for certain sporadic
groups $G$ in particular characteristics by showing that all possible inertia
groups occur for $G$-Galois covers of the affine line. For a larger set of
sporadic groups, all but finitely many possible ramification invariants are
shown to occur. In particular, we prove that all but eight of the possible
ramification invariants are realizable for $\text{M}_{11}$-Galois covers of the
affine line.
