<p>In this paper, we perform a comprehensive analytical study to find the exact solution of the extended (2 + 1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation using the Lie symmetry technique. We obtain a three dimensional Lie algebra using this technique. By using this algebra, the commutator and the adjoint table are constructed. Then some analytic solutions are obtained via the symmetry reduction technique. We also use the invariant subspace method to solve some of the partial differential equations, obtained in the symmetry reduction technique, that provide new type of solutions to the governing equation. Then we have shown 3D graphical representation of the obtained solutions. The graphical analysis shows that solutions are periodic, solitonic and multisolitonic in nature. We also provide conservation laws for the governing equation.</p>