There are thousands of possible 3-5 notes combinations, that are used as chords in modern music. If you need the get the shape of chords on a string instument - try the Chord Tabs app.

To navigate the multitude of chord combinations and sequences you can explore their Modal functions in different scales. The relations between chords really shine in multiaxis interpretations like the Tonnetz Tonal array or the interactive Circle of fifths chords wheel.