A few approaches on grouping HTML lists..
For listbox (popup) similar to <select>:
<div role="menu">
<ul role="group">
<li role="option">...</li>
<li role="option">...</li>
</ul>
<ul role="group">
<li role="option">...</li>
<li role="option">...</li>
</ul>
<div>For list (no popup):
<div role="list">
<ul role="group">
<li>...</li> <!-- default role is listitem -->
<li role="none">
<a role="listitem">...</a>
</li>
</ul>
<ul role="group">
<li>...</li>
<li>...</li>
</ul>
<div>For menuitems, optionally wrap in <nav> if navigation menu:
<nav> <!-- optional nav tag only use when navigation -->
<div role="menubar">
<ul role="menu">
<li role="menuitem">...</li>
<li role="none">
<a role="menuitem">...</a>
</li>
</ul>
<ul role="menu">
<li role="menuitem">...</li>
<li role="menuitem">...</li>
</ul>
</div>
<nav> <!-- optional nav tag only use when navigation --><div role="tree">
<li role="treeitem">...</li>
<ul role="group">
<li role="treeitem">...</li>
<li role="none">
<a role="treeitem">...</a>
</li>
</ul>
<ul role="group">
<li role="treeitem">...</li>
<li role="treeitem">...</li>
</ul>
<div>