List subfolders of a specific asset folder Is it possible to list subfolders from a specific folder?

Context: 
I'm printing out hundreds of icons which are maintained by moving a directory structure directly over to my public assets folder. Currently, I grab and list all icons by looking at the parent folder for icons:

{% for image in craft.assets.source('iconLibrary').limit(null) %}
   &lt;li&gt;...&lt;/li&gt;
{% endfor %}


I'd like to call and list them by their individual folder names though. Is there a way to take a specific folder and return a list of subfolders?

Update:
Brad's solution works! Though it's somewhat awkward having to call an image first to start at AssetFileModel. Hopefully this can be optimized as I'm running through a loop like
 the one above for each child folder now— 

&lt;!--find image in parent icon folder to access folder via AssetFileModel.--&gt;
{% for image in craft.assets.id('9328') %} 
   &lt;!-- get children of that asset's folder --&gt;
   {% for subfolder in image.folder.getChildren() %} //
      {{ subfolder }}   //prints each child folder name
   {% endfor %}
{% endfor %}
Not a complete answer, but in your example image if going to be an instance of AssetFileModel.

AssetFileModel has a getFolder method that returns an instance of AssetFolderModel.

AssetFolderModel has a getChildren method you could loop through to get all of the subfolders for the given folder.

Depending on how numerous your file/folder structure is, though, it might be more efficient to do this from PHP in a custom plugin rather than to do it from Twig.