Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
468 conjugacy classes of subgroups.
The subgroup lattice has 386 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 7. C2×C4×#10596833 | C4 | semidirect |
| 9. #17989453 | C4 | semidirect |
| 35. #14556498 | C8 | semidirect |
| 39. #95×C73 | C8 | semidirect |
| 196. C73 | #7024 | semidirect |
| 232. #95 | #10596833 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22625785 | 2 |
| C4×C22⋊#10596833 | 2 |
| #22608156 | 2 |
| #7024 | 73 |