The standard grips this chord is usually shown with.
Ab7sus4 is Ab, Db, Eb and Gb, a dominant seventh suspended fourth. The shape this page opens on is written xxx122, lowest string first.

Also written Ab7sus or Ab dominant 7 sus 4. The same chord either way; which spelling you meet depends on who wrote the chart.
There are 7 common shapes for Ab7sus4 on the guitar, and 27 derived voicings in 3 families.
In which keys. Every note of Ab7sus4 belongs to C# major (the V), C# minor (the v), Eb minor (the iv), E major (the iii), F# major (the ii), Ab minor (the i), Bb minor (the ♭VII) and B major (the vi).
The common shapes, written lowest string first: xxx122, xx1122, 464644, xx6879, x-11-11-11-9-9, x-11-13-11-14-11, x-x-13-13-14-14.
Shell. Root, third and seventh: the guide tones fix the quality, so the fifth is dropped. That is what leaves a string free, so pick a tension to put on top. Ab7sus4 has 444xxx, x-11-11-11-x-x, 4x46xx, x-11-x-11-14-x, x-11-x-6-7-x.
Drop 2. A close-position chord with the second voice from the top lowered an octave. Sits on four adjacent strings. Ab7sus4 has xx1122, xx4644, 4646xx, x6667x, x-x-11-11-9-11, 11-11-11-11-x-x, x-x-13-13-14-14, 2411xx.
Drop 3. The third voice from the top lowered an octave. The dropped voice becomes the bass, which is why a string is skipped. Ab7sus4 has x4x142, 2x112x, x6x674, 4x464x, 9x687x, x9x899, 11-x-11-11-9-x, x-11-x-11-14-11.
Tensions. A shell of Ab7sus4, root, third and seventh, leaves a string free, and the tones that belong over it are the 9 (Bb) and the 13 (F).
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.