Control over the call with API

Hello!
We are working on integrating Dialpad API and all the opportunities of the desktop app into our web application. What I am currently facing is that we can integrate CTI but I wonder what options it exposes besides initiating a call.
Is it possible to control the call namely:

Transfer the call
Put on hold
Mute yourself
Hang up the call

A very essential thing is also to understand if those actions will be carried out by iframe or by using postMessage API (which is i think unlikely as there is only initiate_call method)
I would highly appreciate if I could be provided with more information and examples how iframe works
Thanks!