.NET Client Profile is supported by .NET Ver. 3.5 and 4.0. It is designed for client applications like Windows Forms. Client Profile version of .NET Framework is lightweight subset of Framework. This enables quicker deployment and small installation packages.
Web Application doesn't support Client Profile version of the Framework.
Microsoft has removed Client Profile from latest version of .NET Framework 4.5 and hence with .NET 4.5 there is no Client Profile as shown in the image below.