Geodesic
Representation of Groups by Generalized Normal Multiplication Tables
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 774-791

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G will denote a finite (or infinite) group of order n. In a normal multiplication table (n.m.t.) of G (7, 8, 9, 12) all entries in one diagonal are equal to e (the identity of G), and if the entry on the intersection of the ith column and jth row is gi,j ∈ G, then The following is a n.m.t. of Z6 = {0, 1, 2, 3, 4, 5}: Remark. The cyclic groups Zn will always be written in additive notation. The table is uniquely defined by every one of its columns, in particular by the first. 
Ginzburg, A. Representation of Groups by Generalized Normal Multiplication Tables. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 774-791. doi: 10.4153/CJM-1967-072-2
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