Finite Group DatabasebetaFinite Group DatabasebetaValid at every prime. The subgroup lattice of this shape is one object: each count below is a polynomial in p, and substituting a prime gives the lattice of that group.
| Order | p |
| Subgroups | 2 |
| Classes of subgroups | 0 |
| Automorphisms | p − 1 |
| Classes with a complement | 0 |
This group has no subgroups other than itself and the trivial subgroup.