The missing non-regular, non-orientable edge-transitive embeddings of complete graphs are exactly the Petrie duals of the Biggs and James maps, completing the full classification.
Heffter, ¨Uber metazyklische Gruppen und Nachbarconfigurationen, Math
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Edge-transitive embeddings of complete graphs
The missing non-regular, non-orientable edge-transitive embeddings of complete graphs are exactly the Petrie duals of the Biggs and James maps, completing the full classification.