C172 pilot reported near midair collision on departure from a non-towered field.

Attributes
ACN	1647750
Time
Date	201905
Local Time Of Day	1201-1800
Place
Locale Reference	ZZZ.Airport
State Reference	US
Environment
Flight Conditions	VMC
Light	Daylight
Aircraft 1
Make Model Name	Skyhawk 172/Cutlass 172
Operating Under FAR Part	Part 91
Flight Phase	Climb
Route In Use	Direct
Flight Plan	VFR
Aircraft 2
Make Model Name	Small Aircraft
Person 1
Function	Pilot Flying
Qualification	Flight Crew Private
Experience	Flight Crew Total 160
Events
Anomaly	Conflict NMAC Deviation - Procedural Published Material / Policy
Miss Distance	Vertical 100

Narrative:

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.

Original NASA ASRS Text

Title: C172 pilot reported NMAC on departure from a non-towered field.

Narrative: 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.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.