We uncover high-order harmonics and the reverse of the squaring-up process, in terms of analyzing the evolution of magnetic orders in a centrosymmetric layered triangular-lattice magnet , based on a detailed study of the crystal structure, magnetic susceptibility, magnetization, heat capacity, and magnetic structure. Temperature dependencies of magnetic susceptibility and heat capacity show two magnetic transitions at K and K. Below spins order antiferromagnetically as a transverse spin-density wave with the propagation vector with . Upon further cooling through , the high-order harmonics with , 5, 7 develop, suggesting a squaring-up process. It is surprising that the squaring-up process does not continue down to 0 K but reverses the trend below 3 K. Magnetic-field-induced metastable transitions were observed in curves with the fields applied both parallel and perpendicular to the triangular-lattice plane. Neutron-diffraction results suggest that the magnetization process in involves the conversion of with , 3, 5, 7, to a ferromagnetic component. It is worth noting that the already weak seventh harmonic magnetic peak is enhanced by applying a small magnetic field in the plane at 1.5 K or warming up to 3 K, accompanied by a slight decrease of .