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Nov 21, 2022 at 13:42 comment added Derek Holt @DanielSebald I think there should be an example $A_6^{15} \cdot A_5$ using the non-split extension ${\rm Aut}(A_6) \cong{\rm P\Gamma L}(2,9)$. I would guess that that is the smallest, but it might be tricky to prove it.
Nov 17, 2022 at 1:43 comment added Daniel Sebald Is $A_6^{30} \cdot A_5$ the smallest non-split extension of one anti-solvable group by another?
Jun 5, 2018 at 13:55 vote accept Gro-Tsen
Jun 2, 2018 at 9:42 history edited Derek Holt CC BY-SA 4.0
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Jun 2, 2018 at 9:28 history answered Derek Holt CC BY-SA 4.0