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How to find nilpotent elements of group algebra F2[Q8] with index of nilpotency? Also if the answer is coming in permutation form, how to convert that into elements of F2[Q8] like in the form i,j,k

Let $\mathbb{F_2}$ be the ring of integers modulo 2 and $\mathcal{Q_8}$ be the group of quaternions such that $\mathcal{Q_8}= {e,\bar{e},i,\bar{i},j,\bar{j},k,\bar{k}}$. Then $\mathbb{F_2}[\mathcal{Q_8}]$ is the groupring. How can I find its nilpotent elements with index of nilpotency?