  A charged black hole was predicted by the Einstein--Horndeski--Maxwell
theory. In order to provide its observational signatures, we investigate its
weak and strong deflection gravitational lensings. We find its weak deflection
lensing observables, including the positions, magnifications and differential
time delay of the lensed images. We also obtain its strong deflection lensing
observables, including the apparent radius of the photon sphere as well as the
angular separation, brightness difference and differential time delay between
the relativistic images. Taking the supermassive black hole in the Galactic
Center as the lens, we evaluate these observables and compare these signatures
with those of the Schwarzschild, Reissner-Nordstr\"{o}m, tidal
Reissner-Nordstr\"{o}m and charged Galileon black holes. After a detailed
analysis of the feasibility of measuring these lensing observables, we conclude
that although it is possible to detect some leading effects of the weak and
strong deflection lensings by the charged Horndeski and other black holes with
current technology, it would be unlikely to distinguish one kind of these black
holes from the others based on these detections in the near future due to lack
of enough highly angular resolution in astronomical observations to tell their
differences.
