Here is a basic approach - it sure can be improved - of what I understood to be your requirement.
This will display 2 columns, one with the groups name, and one with the list of items associated to the group.
The trick is simply to include a list within the items cell.
<table>
<thead>
<th>Groups Name</th>
<th>Groups Items</th>
</thead>
<tbody>
<tr *ngFor="let group of groups">
<td>{{group.name}}</td>
<td>
<ul>
<li *ngFor="let item of group.items">{{item}}</li>
</ul>
</td>
</tr>
</tbody>
</table>