Subgroup Lattices of Finite Cyclic Groups

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
Explore the subgroup lattices of finite cyclic groups of order up to 1000. The cyclic group of order can be represented as
(the integers mod
under addition) or as generated by an abstract element
. Mouse over a vertex of the lattice to see the order and index of the subgroup represented by that vertex; placing the cursor over an edge displays the index of the smaller subgroup in the larger subgroup. Mouse over a vertex label to see all the elements in the group that generate that subgroup.
Contributed by: Marc Brodie (December 2016)
(Wheeling Jesuit University)
Open content licensed under CC BY-NC-SA
Snapshots
Details
Permanent Citation