GroupElementPosition
GroupElementPosition[group, g] returns the position of the element g in the list of elements of group.
GroupElementPosition[group, {g1, …, gn}]returns the list of positions of the elementsg1, …, gningroup.
Examples
GroupElementPosition[SymmetricGroup[3], Cycles[{{1, 2}}]]GroupElementPosition[CyclicGroup[6], {Cycles[{}], Cycles[{{1, 2, 3, 4, 5, 6}}]}]Please visit the official Wolfram Language Reference for more details.