Cm7 chord inversions
Cm7/Eb, Cm7/G and Cm7/Bb are the first, second and third inversions of the Cm7. This means that the bass tone is shifting from C to E flat, G or B flat.
Cm7/Eb
Cm7/G
Cm7/Bb
Theory and information
All these chords consist of the notes C, Eb, G, Bb. The difference is that the order of notes shifts. Eb is the bass note in the first inversion, G is the bass note in the second inversion and Bb is the bass note in the third inversion.
Alternative fingerings
Another option for Cm7/Eb# is X6757X in closed position (it's often long stretches involved for this chord). Cm7/G can also be played in open position as 31101X. Cm7/Bb can also be played as X11013 and involve the highest string.
Movable shapes
Versions with movable barre shapes:
Cm7/Eb: X68888
Cm7/G: 335343
Cm7/Bb: 635343
Alternative chord names
Cm7/Bb is identical with Cm7/A# and Cm/Bb.
Try in a chord progression
Fm - Cm7/G - Ab
Chords that sound good together with C minor 7th inversions
Some typical chords that are likely to be included in progressions with these chords are: Ebmaj7, F#m7, Gm7, Abmaj7, Bb7.