  We calculate the quasinormal modes of static spherically symmetric dilatonic
Reissner-Nordstr\"om black holes for general values of the electric charge and
of the dilaton coupling constant. The spectrum of quasinormal modes is composed
of five families of modes: polar and axial gravitational-led modes, polar and
axial electromagnetic-led modes, and polar scalar-led modes. We make a
quantitative analysis of the spectrum, revealing its dependence on the electric
charge and on the dilaton coupling constant. For large electric charge and
large dilaton coupling, strong deviations from the Reissner-Nordstr\"om modes
arise. In particular, isospectrality is strongly broken, both for the
electromagnetic-led and the gravitational-led modes, for large values of the
charge.
