[Flutter] Flutter Data Table Sorting of Icons

I would like to sort my DataTable in relation of their Icons. I got the error message:

Class 'Icon' has no instance method 'compareTo'. Receiver: Instance of 'Icon' Tried calling: compareTo(Instance of 'Icon')

I copied the sorting Method for Strings which works fine and added it for the Icons. I want to order all Entries in my Data Table depending on the Icon.

My map List<Map<String,dynamic>> from where I get the data from looks like this:

List<Map<String, dynamic>> _books = [
{
"test": Icon(Icons.ac_unit),
"book": "Jimmy",
"author": "Goethe",
"id": "1",
"testi": Switch(
inactiveThumbColor: Colors.white,
activeColor: Colors.white,
activeTrackColor: Colors.green,
inactiveTrackColor: Colors.grey,
value: true,
onChanged: (value) {},
),
},
.....


My Sorting function looks like this:

List<DataColumn> _createColumns() {
return [
DataColumn(
label: Text('Test'),
onSort: (columnIndex, _) {
setState(() {
_currentSortColumn = columnIndex;
if (_isSortAsc) {
_books.sort((a, b) => b['test'].compareTo(a['test']));
} else {
_books.sort((a, b) => a['test'].compareTo(b['test']));
}
_isSortAsc = !_isSortAsc;
});
},
),
DataColumn(
.....


Is there a way to do this?

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