guitar chord
A♭aug
Two major thirds stacked. Symmetrical: every note can be heard as the root.
Written the other way round it is G♯aug — the same twelve keys on a piano, a different piece of notation.
Every fingering that fits a hand
4321xx
hard
xx6554
hard
4325xx
hard
4765xx
hard
xx6558
hard
What is true of it
A♭aug is A♭, C and E — 1, 3 and #5 counted from A♭.
The easiest of the 5 fingerings below is 4321xx: 4 fingers, held at the 1st 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.
2 strings stay silent.
Where its notes are on the neck
The brass dots are A♭, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
A♭aug/C
x32110
A♭aug/E
032110
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.