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Oct 6, 2011 at 19:21 vote accept Todd Leason
Sep 19, 2011 at 22:01 answer added Ralph timeline score: 8
Sep 11, 2011 at 22:38 comment added David Roberts You have to take into account the size of the outer automorphism group of $C$. Given any extension $Q$ acts on $C$ by outer automorphisms, and this action is trivial if and only if $C$ is central. You probably want to look at the series of papers 'Cohomology theory in abstract groups' by Eilenberg and MacLane.
Sep 11, 2011 at 22:35 history edited Todd Leason CC BY-SA 3.0
Added the last sentence.
Sep 11, 2011 at 22:23 history asked Todd Leason CC BY-SA 3.0