LINQ - GroupBy a key of paired object, then separate the grouped object into list of 2 objects?

I have a list of objects (in pair, in one, IsApproved is true, and the other, IsApproved is false, i.e.:

public class Object
{
    public int Id { get; set; }
    public int MatchId { get; set; }
    public string Name { get; set; }
    public bool IsA开发者_如何学编程pproved { get; set; }
}

The list would be something like:

1 123ABC SomeName True

2 123ABC SomeElse False

3 321CBA Name2 True

4 321CBA Name3 False

5 987ASD NameName True

6 987ASD TestTest False

I would need to be able to group them by MatchId, then separate them so that I have a new list like this:

public class Program
{
    public List<PairedObject> PairedObjects { get; set; }
}

public class PairedObject
{
    public Object IsApproved { get; set; }
    public Object NotApproved { get; set; }
}

Any suggestion on how to do this? Thank you very much.

list.GroupBy(o => o.MatchId)
    .Select(g => new PairedObject
                     {
                         IsApproved = g.First(o => o.IsApproved),
                         NotApproved = g.First(o => !o.IsApproved)
                     });