Low-genus primitive monodromy groups with a nonunique minimal normal subgroup

Let X be a Riemann surface, and let (Formula presented.) be an indecomposable (branched) covering of genus g and degree n whose monodromy group has more than one minimal normal subgroup. Closing a gap in the literature, we show that there is only one such covering when (Formula presented.). Moreover, for arbitrary g, there are no such coverings with (Formula presented.) sufficiently large.