  We give conditions of an extension of a free group to be hyperbolic and
relatively hyperbolic using the dynamics of the action of $\out$ on the complex
of free factors combined with the weak attraction theory. We work with
subgroups of exponentially growing outer automorphisms and instead of using a
standard pingpong argument with loxodromics, we allow fixed points for the
action and investigate the geometry of the extension group when the fixed
points of the automorphisms on the complex of free factors are sufficiently far
apart.
