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We continue the search for rules that govern when off-shell 4D, $\cal N$ = 1supermultiplets can be combined to form off-shell 4D, $\cal N$ = 2supermultiplets. We study the ${\mathbb S}_8$ permutations and Height YieldingMatrix Numbers (HYMN) embedded within the adinkras that correspond to theseputative 4D, $\cal N$ = 2 supermultiplets off-shell supermultiplets. Eventhough the HYMN definition was designed to distinguish between the raising andlowering of nodes in one dimensional valises supermultiplets, they are shown toaccurately select out which combinations of off-shell 4D, $\cal N$ = 1supermultiplets correspond to off-shell 4D, $\cal N$ = 2 supermultiplets. Onlythe combinations of the chiral + vector and chiral + tensor are found to havevalises in the same class. This is consistent with the well known structure of4D, $\cal N$ = 2 supermultiplets.

A Note On Exemplary Off-Shell Constructions Of 4D, ${\mathbf {\cal N}}$ = 2 Supersymmetry Representations