using System;

using System.Linq;

using System.Collections.Generic;

public class Program

{

    public static void Main()

    {

        var originalList = new List<NameDate>

        {

            new NameDate 

            { 

                Name = "A",

                SomeDate = DateTime.Parse("10/03/2016")

            },

            new NameDate 

            { 

                Name = "A",

                SomeDate = DateTime.Parse("10/05/2016")

            },

            new NameDate 

            { 

                Name = "A",

                SomeDate = DateTime.Parse("10/04/2016")

            },

            new NameDate 

            { 

                Name = "B",

                SomeDate = DateTime.Parse("10/02/2016")

            },

            new NameDate 

            { 

                Name = "B",

                SomeDate = DateTime.Parse("10/01/2016")

            },

            new NameDate 

            { 

                Name = "B",

                SomeDate = DateTime.Parse("10/03/2016")

            },

            new NameDate 

            { 

                Name = "C",

                SomeDate = DateTime.Parse("10/05/2016")

            },

            new NameDate 

            { 

                Name = "C",

                SomeDate = DateTime.Parse("10/02/2016")

            },

            new NameDate 

            { 

                Name = "C",

                SomeDate = DateTime.Parse("10/04/2016")

            },

        };

        var orderedList = originalList.OrderBy(x => x.SomeDate).GroupBy(y => y.Name);

        Console.WriteLine(orderedList);

    }

}

public class NameDate

{

    public string Name { get; set;}

    public DateTime SomeDate {get; set;}    

}