Flight Crew Private
Flight Crew Total 160
Communication Breakdown; Training / Qualification
Conflict NMAC; Deviation / Discrepancy - Procedural Published Material / Policy
Flight Crew Took Evasive Action
Airport; Airspace Structure; Human Factors
On departure from Runway XX at ZZZ during an instrument training flight I was the student flying with foggles on with my flight instructor in the right seat. In the departure phase of flight we were climbing out at about 2;000 feet southwest bound direct to ZZZZZ waypoint; an aircraft which had made little to no radio calls seemingly overflew the airport and came directly below us from the left to right at about 100 feet and was not seen until it had already gone past and was seen on the right side of our aircraft by my flight instructor. We had made all of the required and appropriate radio calls as prescribed by the SOPs for the flight school; but had heard nothing about this aircraft or of its intentions. This has become a big issue at ZZZ as we are not supposed to make what seem to be the necessary position calls due to administration at the flight school.
C172 pilot reported NMAC on departure from a non-towered field.