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In this paper, we classify irreducible representations of affine groupsuperschemes over fields $F$ of characteristic not two in terms of those over aseparable closure $F^{\mathrm{sep}}$ and their Galois twists. We also computethe division superalgebras of their endomorphisms mainly when they are central.Finally, we give numerical conclusions for quasi-reductive algebraicsupergroups under certain conditions, based on Shibata's Borel--Weil theory forsplit quasi-reductive algebraic supergroups.

Classification of irreducible representations of affine group superschemes and the division superalgebras of their endomorphisms