Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
562 conjugacy classes of subgroups.
The subgroup lattice has 384 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 6. #17989608 | C4 | semidirect |
| 8. #17989607 | C4 | semidirect |
| 10. #17989604 | C4 | semidirect |
| 12. #17989603 | C4 | semidirect |
| 196. C73 | #8116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22626607 | 2 |
| #22624834 | 2 |
| #22612325 | 2 |
| #8116 | 73 |