The magnetic and dielectric properties of the multiferroic triangular lattice magnet compound were studied by magnetization, specific heat, dielectric permittivity, and pyroelectric current measurements and by neutron diffraction experiments using single crystals grown by a hydrothermal synthesis method. This work produced magnetic field (in the monoclinic -plane, , and along the -axis, ) versus temperature magnetic phase diagrams, including five and six magnetically ordered phases in and along , respectively. In zero magnetic field, two spin-density-wave orderings with different vectors— in phase I and () in phase II—appeared at and 8.25 K, respectively. Below K, a commensurate order with was stabilized as the ground state in phase III. Both T and T were found to induce ferroelectric phases at the lowest temperature (2 K), with an electric polarization that was not confined to any highly symmetric directions in phases ( T), ( T), ( T), and ( T). In phase , within a narrow temperature region in , the polarization was confined to the plane. For each of the ferroelectric phases, the vector was (), and noncollinear structures were identified, including a general spiral in an cycloid in and , and a proper screw in , along with a triclinic magnetic point group allowing polarization in the general direction. Comparing the polarization direction to the magnetic structures in the ferroelectric phases, we conclude that the extended inverse Dzyaloshinskii-Moriya mechanism expressed by the orthogonal components and can explain the polarization directions. Based on calculations incorporating exchange interactions up to fourth-nearest-neighbor (NN) couplings, we infer that competition among antiferromagnetic second NN interactions in the triangular lattice plane, as well as weak interplane antiferromagnetic interactions, are responsible for the rich phase diagrams of .