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We describe finite soluble nonnilpotent groups in which every minimal nonnilpotent subgroup is abnormal. We also show that if G is a nonsoluble finite group in which every minimal nonnilpotent subgroup is abnormal, then G is quasisimple and
$Z(G)$
is cyclic of order
$|Z(G)|\in \{1, 2, 3, 4\}$
.
