Mitterfeldalm route via the Birgkar
This is a more serious alpine route on Hochkönig, typically described as a route through the Birgkar. It is steeper and more exposed than the normal Matrashaus ascent and is therefore less suitable for casual hikers. The route demands good route-finding, alpine experience, and stable conditions. Loose rock and residual snow can make the upper mountain hazardous. It is a documented mountaineering line on the peak rather than a simple walking approach. The exact timing and quantitative route data are not consistently published in the sources I can verify.
Route Outline
Mitterfeldalm area
Birgkar
Steeper alpine terrain to the summit ridge
Summit of Hochkönig
Descent by the ascent route or via the normal route