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Júlia Kato

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Preprint Sep 2026

Finite Non-$p$-Groups with 5 Automorphism Orbits

We obtain a characterization of finite non-$p$-groups with five automorphism orbits. In the solvable case of Fitting height $3$, the groups are precisely $S_4$ and $C_2^4\rtimes D_{10}$. Moreover, the corresponding fixed-point subspaces form a spread in a finite projective space. For Fitting height $2$, we distinguish...

Júlia Kato · 0 citations