Indexed properties on custom class

I have a custom class (ControlPropertiesBase) whith the following fields (see code).
Several other classes (derived from WebControls) have the property ControlProperties, which is derived from the ControlPropertiesBase, plus other properties / fields.

Is it possible to access the properties via indexing like myControl.Properties["TabOrder"], and if so how can I do that?

[Serializable]
public class ControlPropertiesBase
{
	public string Name;
	public string Label;
	public string LabelTranslated;
	public int TabOrder;
	public bool Compulsary;
	public bool ReadOnly;
	public bool Visible;
}
 
public class DropDownListControl : DropDownList
{
	[Serializable]
	public class ControlProperties : ControlPropertiesBase
	{
		public ControlProperties() { }
		public Hashtable Items;
	}
 
	private ControlProperties _properties = new ControlProperties();
	public ControlProperties Properties
	{
		get { return _properties; }
		set { _properties = value; }
	}
 
	protected override void OnInit(EventArgs e)
	{
		base.OnInit(e);
		this._properties = new ControlProperties();
	}
}

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