Do acoustic waves in liquid crystals have transverse modes?

According to a previous question:

Modes of propagation in media

acoustic waves in media can be decomposed in two kinds of modes: longitudinal and transverse; solids being the only one where they are both present.

According to this answer: acoustic waves in water, it’s due to the fact that transversal excitations in a liquid are very rapidly damped and don’t propagate in any measureable way.

But, what about liquid crystals, do they present transversal modes?