Apologies if this is answered elsewhere in this group or in the 
documentation, but I have not found the answer.

When computing a galois group in sage using type='pari' Sage gives the 
group a name.  I have not been able to find a guide for the nomenclature 
used.

For example, names like S_3 and D(4) are fairly clear.  But what is 2^3 S_3 
and 2^4 S_4 - I presume they are the wreath products (\Z/2)^n . S_n.  

Is there a reference?  And am I right about 2^n S_n

Thanks

Steve

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