What is $G/Z(G)$ in case of $G$ is the group of quaternions?

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What is $G/Z(G)$ in case of $G$ is the group of quaternions?where $Z(G)$ is the center of $G,$ which is $\{\pm 1\}$

my guess

They are the cosets $i + Z(G),j + Z(G), k + Z(G), (-i) + Z(G),(-j) + Z(G), (-k) + Z(G).$ Am I correct?