C# ListView点击列头进行排序

 /// <summary>
    /// This class is an implementation of the 'IComparer' interface.
    /// </summary>
    public class ListViewColumnSorter : IComparer
    {
        /// <summary>
        /// Specifies the column to be sorted
        /// </summary>
        private int ColumnToSort;
        /// <summary>
        /// Specifies the order in which to sort (i.e. 'Ascending').
        /// </summary>
        private SortOrder OrderOfSort;
        /// <summary>
        /// Case insensitive comparer object
        /// </summary>
        private CaseInsensitiveComparer ObjectCompare;

        /// <summary>
        /// Class constructor.  Initializes various elements
        /// </summary>
        public ListViewColumnSorter()
        {
            // Initialize the column to '0'
            ColumnToSort = 0;

            // Initialize the sort order to 'none'
            OrderOfSort = SortOrder.None;

            // Initialize the CaseInsensitiveComparer object
            ObjectCompare = new CaseInsensitiveComparer();
        }

        private int comaretInt = 0;
        /// <summary>
        /// This method is inherited from the IComparer interface.  It compares the two objects passed using a case insensitive comparison.
        /// </summary>
        /// <param name="x">First object to be compared</param>
        /// <param name="y">Second object to be compared</param>
        /// <returns>The result of the comparison. "0" if equal, negative if 'x' is less than 'y' and positive if 'x' is greater than 'y'</returns>
        public int Compare(object x, object y)
        {
            int compareResult;
            ListViewItem listviewX, listviewY;

            // Cast the objects to be compared to ListViewItem objects
            listviewX = (ListViewItem)x;
            listviewY = (ListViewItem)y;

            if (int.TryParse(listviewX.SubItems[ColumnToSort].Text, out comaretInt) &&
               int.TryParse(listviewY.SubItems[ColumnToSort].Text, out comaretInt))
            {
                compareResult = int.Parse(listviewX.SubItems[ColumnToSort].Text).CompareTo(int.Parse(listviewY.SubItems[ColumnToSort].Text));
            }
            else
            {
                // Compare the two items
                compareResult = ObjectCompare.Compare(listviewX.SubItems[ColumnToSort].Text, listviewY.SubItems[ColumnToSort].Text);
            }
            // Calculate correct return value based on object comparison
            if (OrderOfSort == SortOrder.Ascending)
            {
                // Ascending sort is selected, return normal result of compare operation
                return compareResult;
            }
            else if (OrderOfSort == SortOrder.Descending)
            {
                // Descending sort is selected, return negative result of compare operation
                return (-compareResult);
            }
            else
            {
                // Return '0' to indicate they are equal
                return 0;
            }
        }

        /// <summary>
        /// Gets or sets the number of the column to which to apply the sorting operation (Defaults to '0').
        /// </summary>
        public int SortColumn
        {
            set
            {
                ColumnToSort = value;
            }
            get
            {
                return ColumnToSort;
            }
        }

        /// <summary>
        /// Gets or sets the order of sorting to apply (for example, 'Ascending' or 'Descending').
        /// </summary>
        public SortOrder Order
        {
            set
            {
                OrderOfSort = value;
            }
            get
            {
                return OrderOfSort;
            }
        }

    }

将上面的类添加到你的项目里面。

 private ListViewColumnSorter lvwColumnSorter =  new ListViewColumnSorter();
          

        void listTask_ColumnClick(object sender, ColumnClickEventArgs e)
        {
            foreach (ColumnHeader ch in listTask.Columns)
            {
                ch.ImageIndex = -1;
            }

            listTask.ListViewItemSorter = lvwColumnSorter;

            //if (listTask.SmallImageList == null)
            //{
            //    listTask.SmallImageList = imageList1;
            //}

            //listTask.Columns[e.Column].ImageIndex = 0;

            if (e.Column == lvwColumnSorter.SortColumn)
            {
                // Reverse the current sort direction for this column.
                if (lvwColumnSorter.Order == SortOrder.Ascending)
                {
                    lvwColumnSorter.Order = SortOrder.Descending;
                    //listTask.Columns[e.Column].ImageIndex = 1;
                }
                else
                {
                    lvwColumnSorter.Order = SortOrder.Ascending;
                }
            }
            else
            {
                // Set the column number that is to be sorted; default to ascending.
                lvwColumnSorter.SortColumn = e.Column;
                lvwColumnSorter.Order = SortOrder.Ascending;
            }

            // Perform the sort with these new sort options.

            this.listTask.Sort();
            listTask.AutoResizeColumns(ColumnHeaderAutoResizeStyle.HeaderSize);   //根据列的文本内容，自动设置list列的宽度
            listTask.Update();

        }