The slice filtration focuses on producing certain irreducible spectra, called slices, from a genuine $G$-spectrum $X$ over a finite group $G$. We have a complete characterization of all 1-, 0-, and (-1)-slices for any such $G$. We will characterize 2-slices over $C_2$ and expand this characterization to $K_4 = C_2 \times C_2$.