What about G Minor and C minor chords? These chords need to be played as bar chords. There is not a G minor or C minor in the open position. These chords will be played as portable chords.

This version of the C Minor chord is considered the first position version. To play this C Minor Chord, use your index finger to bar all of the strings on the 3rd fret, and use your ring finger on the 5th fret of the D string, your pinky finger on the 5th fret of the G string, and your middle finger on the 4th fret of the B string. The Root notes are on the A String, and the G string. This chord is portable and can be moved around on the fretboard. Just keep in mind that your root note is on the A string.