Does this follow abstract factory pattern

As per defination "Design Patterns: Abstract Factory". informIT. Archived from the original on 2009-10-23. Retrieved 2012-05-16. Object Creational: Abstract Factory: Intent: Provide an interface for creating families of related or dependent objects without specifying their concrete classes."

Below is my try at abstract design pattern. This is my first hands on factory method. Can anyone please help me on this.

enum ProductType
{
    BeautySoap = 1,
    DetergentSoap = 2,
    HairWax = 3,
    BodyWax = 4,
}
interface ISoap
{
    string Create(string name);

}
interface IWax
{
    string Create(string name);
}

public class HarWax : IWax
{
    public string Create(string name)
    {
        return string.Format("Hair Wax {0} created", name);
    }
}

public class BodyWax : IWax
{

    public string Create(string name)
    {
        return string.Format("Body wax {0} created", name);
    }
}
public class BeautySoapFactory : ISoap
{
    public string Create(string name)
    {
         return string.Format("Toilet soap {0} created", name);
    }

}
public class DetergentSoapFactory : ISoap
{
    public string Create(string name)
    {
         return string.Format("Detergent bar {0} created", name);
    }
}



//factory of factories(Bike Factory, Scooter Factory)
/// <summary>
/// The 'AbstractFactory' interface. 
/// </summary>
interface IBeautyProduct
{
    ISoap CreateSoap(ProductType type);
    IWax CreateWax(ProductType type);
}

class HULFactory : IBeautyProduct
{
    public ISoap CreateSoap(ProductType type)
    {
        switch (type)
        { 
            case ProductType.BeautySoap:
                return new BeautySoapFactory();
            case ProductType.DetergentSoap:
                return new DetergentSoapFactory();
            default:
                throw new ApplicationException(string.Format("Soap '{0}' cannot be created", type));
                //Console.WriteLine(string.Format("Soap '{0}' cannot be created", name));
                //break;
        }
    }
    public IWax CreateWax(ProductType type)
    {
        switch (type)
        {
            case ProductType.HairWax:
                return new HarWax();
            case ProductType.BodyWax:
                return new BodyWax();
            default:
                throw new ApplicationException(string.Format("Wax '{0}' cannot be created", type));
        }
    }
}

class LotusherbalsFactory : IBeautyProduct
{
    public ISoap CreateSoap(ProductType type)
    {
        switch (type)
        {
            case ProductType.BeautySoap:
                return new BeautySoapFactory();
            case ProductType.DetergentSoap:
                return new DetergentSoapFactory();
            default:
                throw new ApplicationException(string.Format("Soap '{0}' cannot be created", type));
            //Console.WriteLine(string.Format("Soap '{0}' cannot be created", name));
            //break;
        }
    }
    public IWax CreateWax(ProductType type)
    {
        switch (type)
        {
            case ProductType.HairWax:
                return new HarWax();
            case ProductType.BodyWax:
                return new BodyWax();
            default:
                throw new ApplicationException(string.Format("Wax '{0}' cannot be created", type));
        }
    }
}