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The aim of this paper is to contribute more examples and classificationresults of finite pointed quasi-quantum groups within the quiver frameworkinitiated in \cite{qha1, qha2}. The focus is put on finite dimensional gradedMajid algebras generated by group-like elements and two skew-primitive elementswhich are mutually skew-commutative. Such quasi-quantum groups are associatedto quasi-quantum planes in the sense of nonassociative geomertry \cite{m1, m2}.As an application, we obtain an explicit classification of graded pointed Majidalgebras with abelian coradical of dimension $p^3$ and $p^4$ for any primenumber $p.$

Quasi-Quantum Planes and Quasi-Quantum Groups of Dimension $p^3$ and $p^4$