[GAP Forum] WHY ARE GROUPS REPEATED ?

[Dmitrii Pasechnik]

On Mon, Apr 20, 2015 at 01:44:21PM +0000, abdulhakeem alayiwola wrote:
> I got structure description of all Subgroups of A:=DihedralGroup(8); as
> 
> gap> List(A, StructureDescription);
> [ "1" ,"C2", "C2","C2","C2","C2","C2×C2","C4","C2×C2","D8" ] but i see that
> "C2" is repeated five times and "C2×C2" repeated twice. I need explanation
> on the above. Thanks.

A has 5 elements of order 2, and each of them corresponds to a different
C2. Similarly with C2xC2...

Hope this explains,
Dmitrii