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gap> StructureDescription(G);

Gives: "(C5 x C5) : C12"

How exactly should this output be interpreted?

Numeral
  • 1,344
  • 2
    It is a non-trivial semi-direct product of $(\mathbb Z/5)^2$ with $\mathbb Z/12$. – Marktmeister Dec 08 '22 at 20:08
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    This is explained in the manual entry for StructureDescription, see https://docs.gap-system.org/doc/ref/chap39_mj.html#X8199B74B84446971 – Max Horn Dec 09 '22 at 07:38

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