Elements of a group optionally selected by position
GroupElements[group]
GroupElements[group, {r1, …, rk}]
GroupElements[PermutationGroup[{Cycles[{{1, 9, 6}, {3, 7}}]}]]
→ {Cycles[{}], Cycles[{{3, 7}}], Cycles[{{1, 6, 9}}], Cycles[{{1, 6, 9}, {3, 7}}], Cycles[{{1, 9, 6}}], Cycles[{{1, 9, 6}, {3, 7}}]}GroupElements[PermutationGroup[{Cycles[{{1, 9, 6}, {3, 7}}]}], {-1}]
→ {Cycles[{{1, 9, 6}, {3, 7}}]}GroupElements[PermutationGroup[{Cycles[{{1, 9, 6}, {3, 7}}]}], {1, 2, 3}]
→ {Cycles[{}], Cycles[{{3, 7}}], Cycles[{{1, 6, 9}}]}