The following variables are predefined as according permutation groups
with a default smallest set of generators:
C2
, C3
, C4
, V4
, C5
, C6
, S3
,
C7
, C8
, C2xC4
, C2xC2xC2
, D8
, Q8
,
C9
, C3xC3
, C10
, D10
, C11
, C12
,
C2xC6
, D12
, A4
, T
, C13
, C14
,
D14
, C15
.
gap> S3; S3 gap> Elements( S3 ); [ (), (2,3), (1,2), (1,2,3), (1,3,2), (1,3) ] gap> IsPermGroup( S3 ); true gap> S3.generators; [ (1,2), (1,2,3) ]
GAP 3.4.4