[GAP Forum] On Small group (81,10)

[Siddhartha Sarkar]

Dear Forum,

I am trying to get a bit more information about the origin of the group
SmallGroup(81,10) of order 81 in the small group library.

The gap command shows:

gap> StructureDescription(g);
"C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3)"

>From the Fp-presentation with four generators it is not so easy to look at
it. Does the product come from an amalgam relation from a group of order
243?

Best regards,
Siddhartha