The standard grips this chord is usually shown with.
Cm is C, Eb and G, a minor triad. The shape this page opens on is written x31013, lowest string first.
Note by note. C is the root, Eb is the minor third and G is the fifth.

Also written Cmin, C- or C minor. The same chord either way; which spelling you meet depends on who wrote the chart.
There are 9 common shapes for Cm on the guitar, and 47 derived voicings in the triad family.
One note away. Change a single note of Cm and you have C (with one note moved), Cdim (with one note moved), Csus2 (with one note moved), Csus4 (with one note moved), Cm6 (with one note added) or Cm7 (with one note added).
In which keys. Every note of Cm belongs to C minor (the i), Eb major (the vi), F minor (the v), G minor (the iv), Ab major (the iii) and Bb major (the ii).
The common shapes, written lowest string first: x31013, x35543, x6554x, 8655x8, 8-10-10-8-8-8, x-x-10-8-8-8, x-x-10-12-13-11, x-x-13-12-13-11, x-15-13-12-13-x.
Under the hand. 1 of the 9 shapes here sits in open position, and the first uses 1 open string with 1 left unplayed. 2 of the 9 need a barre. Together they cover the neck from the 1st fret to the 15th.
Triad. Three notes across one string set. Cm has x310xx, xx101x, 331xxx, x3101x, xx1013, 3310xx, xxx543, x3554x.
What kind of chord this is. Cm is a minor chord — root, minor third, fifth. minor chords on every root, and what they are for.
The common shapes and the derived voicings come from different places, and both are explained in where the chords and the theory come from.
Shows each chord the way this style would voice it, and marks which of its alternatives belong to the idiom.