These three diagrams illustrate the root position (1 b3 5), first inversion (b3 5 1), and second inversion (5 1 b3) of the Cm chord.
The following example uses the root position, first inversion, second inversion, and an octave of the root position of the Cm chord. Use the fingering shown in the diagrams but be prepared for fingering variations depending on where the music is going.
Here is a piano part making use of the first inversion of the C minor chord, Notice the interplay between the two hands in this part.