My goal is to find a non-abelian group with $54$ elements non-isomorphic to $D_{27}$ and for that matter, I tried $\mathbb{Z_3} \times D_9$, now we have that $Z(\mathbb{Z_3} \times D_9) =\mathbb{Z_3} \times \{ id \}$ but $Z(D_{27})=\{id\}$. Is this a valid one?
2026-03-27 06:07:25.1774591645
Finding a non-abelian group with $54$ elements non-isomorphic to $D_{27}$
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