Sending hex char F6 to a websocket in C#

Question

I'm trying to send a hex character to a WebSocket4net socket with a C# client. If I send either of the following syntaxes, it works and sends '12'.

_webSocketClient.Send("\x12");
_webSocketClient.Send("\u0012");

When I try to send this, it sends 'C3 B6'.

_webSocketClient.Send("\xF6");

I don't want to use the overloaded method for sending binary data. I'd like to send this as a hex string. How can I send this character?

I'm setting up the Websocket like this:

 _webSocketClient = new WebSocket4Net.WebSocket("wss://www.example.com", "", null, null, "Mozilla","http://www.example.com", WebSocketVersion.None);