  Abnormal extremals on four-dimensional connected Lie groups with
left-invariant sub-Finsler quasimetric, defined by a seminorm on a
two-dimensional subspace of the Lie algebra generating the algebra, are found.
In terms of structure constant of Lie algebra and supporting Minkowski function
for the unit ball of seminorm on two-dimensional subspace of Lie algebra,
defining a quasimetric, we establish a criterion for strict abnormality of
these extremals.
