I also want to retain the attributes for the largest extent as well.
Below is a screenshot of the sample data I am using to develop the workspace. I have a total of around 27,000 features to run through this so it can't be done manually.

This is a sample of the issue. I want the result to have the outer extent of the groups and, in this example, to have 2 features with the attibutes of the largest polygon in the group.
Any ideas welcomed. It appears to be such a simple task but I can't seem to work it out.