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I'm trying to understand the group $2 \cdot A_5$, i.e. the double cover of the alternating group on 5 elements. I'd like to think of elements of this group as members of the set $\{+1,-1\} \times A_5$ When viewing elements as members of this set, is there a (relatively) intuitive definition of the group operation?

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    [Related](http://math.stackexchange.com/questions/93762/elementary-isomorphism-between-operatornamepsl2-5-and-a-5).2012-10-19

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