https://en.wikipedia.org/wiki/Swiss_German

> Swiss German (Standard German: Schweizerdeutsch, Alemannic German: Schwiizerdütsch, Schwyzerdütsch, Schwiizertüütsch, Schwizertitsch Mundart, and others; Romansh: Svizzers Tudestg) is any of the Alemannic dialects spoken in the German-speaking part of Switzerland, and in some Alpine communities in Northern Italy bordering Switzerland.

All Swiss-German is an Alemannic dialect, not all Alemannic dialects are Swiss-German, is how I'd interpret that.