  We study supersolid-like crystalline structures emerging in the stationary
states of a quasi-two-dimensional spin-orbit (SO)-coupled spin-2 condensate in
the ferromagnetic, cyclic, and antiferro-magnetic phases by solving a
mean-field model.Interplay of different strengths of SO coupling and
interatomic interactions gives rise to a variety of non-trivial density
patterns in the emergent solutions. For small SO-coupling strengths $\gamma$
($\gamma \approx 0.5$), the ground state is an axisymmetric multi-ring soliton
for polar, cyclic and weakly-ferromagnetic interactions, whereas for
stronger-ferromagnetic interactions a circularly-asymmetric soliton emerges as
the ground state.Depending on the values of interaction parameters, with an
increase in SO-coupling strength, a stripe phase may also emerge as the ground
state for polar and cyclic interactions. For intermediate values of SO-coupling
strength ($\gamma \approx 1$), in addition to these solitons, one could have a
quasi-degenerate triangular-lattice soliton in all magnetic phases. On further
increasing the SO-coupling strength ($\gamma \gtrapprox 4$), a square-lattice
and a superstripe soliton emerge as quasi-degenerate states. The emergence of
all these solitons can be inferred from a study of solutions of the
single-particle Hamiltonian.
