Dear Gap users

I am interested in group theory.
Kindly, I need a help to construct a GAP algorithm or used certain installed 
packages if exist, that is for finding the semidirect product of (C25×C25) and  
C25. I do not concern on how C5 acts on (C25×C25).
I need to find many issues for the group obtained from this product; such as: 
the order of the group, the number of generators, the order of each generator 
and other properties.

I will be very grateful for your help. 

Kind regards
 
Bilal
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