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May 28, 2013 at 13:40 answer added Geoff Robinson timeline score: 3
May 13, 2013 at 15:29 vote accept Wei Zhou
May 13, 2013 at 15:14 answer added Derek Holt timeline score: 4
May 13, 2013 at 15:01 comment added Stefan Kohl The conditions that ${\rm Z}(G)$ has order 2 and that $G/{\rm Z}(G) \cong {\rm A}_5$ are redundant and can be left away. Groups of such small size can easily be looked up in a standard database (e.g. GAP's Small Groups Library), which you might cite if you need a reference. Among others, GAP's Small Groups Library contains all groups of order $\leq 2000$ except for those of order 1024. There you can simply test all groups of a particular order whether they satisfy your conditions.
May 13, 2013 at 14:25 history asked Wei Zhou CC BY-SA 3.0