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Jun 11, 2023 at 4:52 comment added Anish Ray @LSpice I see. I guess I should probably mention that $A$ and $B$ are finite groups.
Jun 11, 2023 at 3:42 comment added LSpice @AnishRay, re, that was already remarked (by @‍CristopheLeuridan) in a comment to your question.
Jun 10, 2023 at 21:25 comment added Anish Ray Why doesn't $[A:C]=2$ follow from the isomorphism as mentioned in the question?
Jun 10, 2023 at 20:37 history edited Christophe Leuridan CC BY-SA 4.0
I completed the answer.
Jun 10, 2023 at 20:26 history answered Christophe Leuridan CC BY-SA 4.0