  In [A. Stolz and A. Thom, On the lattice of normal subgroups in ultraproducts
of compact simple groups, PLMS 108(1), 2014] it was stated that the lattice of
normal subgroups of an ultraproduct of finite simple groups is always linearly
ordered. This is false in this form in most cases for classical groups of Lie
type. We correct the statement and point out a version of 'relative' bounded
generation results for classical quasisimple groups and its implications on the
structure of the lattice of normal subgroups of an ultraproduct of quasisimple
groups.
