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Aug 27, 2018 at 3:18 history edited Martin Sleziak CC BY-SA 4.0
added doi links
Aug 27, 2018 at 2:53 comment added Mikko Korhonen @SiruiLu: Not sure what you mean. If you know $\operatorname{Aut}(H)$ and $\operatorname{Hom}(H, Z(H))$, you have an explicit description of all the automorphisms of $G$, not just the number of them.
Aug 27, 2018 at 2:39 comment added Sirui Lu Thanks for your answer! Can we get things beyond order, like generators of G?
Aug 27, 2018 at 2:36 history answered Mikko Korhonen CC BY-SA 4.0