  We investigate the properties of pole-skipping of the sound channel in which
the translational symmetry is broken explicitly or spontaneously. For this
purpose, we analyze, in detail, not only the holographic axion model, but also
the magnetically charged black holes with two methods: the near-horizon
analysis and quasi-normal mode computations. We find that the pole-skipping
points are related with the chaotic properties, Lyapunov exponent ($\lambda_L$)
and butterfly velocity ($v_B$), independently of the symmetry breaking
patterns. We show that the diffusion constant ($D$) is bounded by $D
\,\geqslant\, v_{B}^2/\lambda_{L}$, where $D$ is the energy diffusion (crystal
diffusion) bound for explicit (spontaneous) symmetry breaking. We confirm that
the lower bound is obtained by the pole-skipping analysis in the low
temperature limit.
