Cutting Cubes

In how many separate parts do the planes $x=y, y=z, z=x$ divide the cube $C$ ? $\large C : {(x,y,z) ; 0≤x,y,z≤1}$

(In simpler words, $C$ is a cube in the 3D plane which has the coordinate axes as three adjacent edges and $(1,1,1)$ as one of it's vertices.)