guitar chord
Cm6
A minor triad with a major sixth added, which is why it is not simply a minor chord with a flat seventh.
Every fingering that fits a hand
x35045
hard
8aa8a8
hard · barre
x3121x
hard · no 5
x3524x
hard
x3124x
hard · no 5
What is true of it
Cm6 is C, E♭, G and A — 1, b3, 5 and 6 counted from C.
These are also the notes of Am7♭5/C. Which name is right depends on what is underneath and what came before — the notes alone do not decide.
On an instrument that cannot reach all 4, the 5 goes first, in that order.
The easiest of the 5 fingerings below is x35045: 4 fingers, held at the 3rd fret.
None of them uses an open string, so this chord moves up the neck unchanged — the same shape 1 fret higher is the chord a semitone above.
1 of the 5 need a barre.
1 string stays silent.
Where its notes are on the neck
The brass dots are C, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
Cm6/E♭
xx1213
Cm6/G
301013
Cm6/A
x0101x
An inversion is the same chord with a different note lowest. The name changes to a slash name because the bass is what a listener hears as the foundation.