Layers in groups to files, keeping directory structure

I have a PSD of thmebnails organized using layer groups and I want to export individual layers as files, but keep them in folders that mimic the layer group names.

For example:

PSD Layers Palette:

Layer Group Alpha

     Layer 1

     Layer 2

     Layer 3

Layer Group Beta

     Layer 1

     Layer 2

So when I save the layers to files, I would like to automatically be able to create a folder called Layer Group Alpha and put Layer 1, Layer 2, and Layer 3 as individual files inside. Then create a folder called Layer Group Beta and do the same with those files, etc.

Is this a thing?

Thanks in advance for any help and advice.