Cyclic Groupsrestart;with(GroupTheory);We enter the cyclic group of order 42.G:=CyclicGroup(42);We identify it as a small group, the sixth type of order 42.IdentifySmallGroup(G);We ask if it is Abelian.IsAbelian(G);We ask if it is cyclic.IsCyclic(G);Not very informative. We ask for the elements of the group.E:=Elements(G);OK, these are permutations, the topic of our next chapter, so understanding will come later. We draw the subgroup lattice.DrawSubgroupLattice(G,'labels = ids');The first number is the order of the group, the second is which group it is in the table for that order.SmallGroup(42,6);This one permutation is the generator of the group. Again, it is a permutation.SmallGroup(3,1);The same here.