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For each pointed abelian group $(A,c)$, there is an associated {\em Galkinquandle} $G(A,c)$ which is an algebraic structure defined on $\Bbb Z_3\times A$that can be used to construct knot invariants. It is known that two finiteGalkin quandles are isomorphic if and only if their associated pointed abeliangroups are isomorphic. In this paper we classify all finite pointed abeliangroups. We show that the number of nonisomorphic pointed abelian groups oforder $q^n$ ($q$ prime) is $\sum_{0\le m\le n}p(m)p(n-m)$, where $p(m)$ is thenumber of partitions of integer $m$.

Galkin Quandles, Pointed Abelian Groups, and Sequence $A000712$