>no idea on how this kind of structures work
I admit to confusion. However considering who was behind the coup there are two leading hypotheses - Gulen or Erdogan, both widely suspected of being responsible by the Turks.
A main instigator was "General Mehmet Dişli, the brother of a long-serving MP with the ruling AK party, allegedly gave the order that set the coup in motion, sending army special forces officers to arrest the military’s senior command." (Guardian).
He's "a two-star general who happens to be the brother of Saban Dişli, a former vice president of the ruling Justice and Development Party (AKP). Saban is a close confidant of President Recep Tayyip Erdoğan."
So that's a fairly direct connection for Erdogan being linked. Is there anything like that for Gulen? Like a coup leader being a brother of one of Gulen's mates? Also Gulen has preached peace throughout whereas Erdogan seemed quite happy to go kill Kurds when he felt it would help him politically.