Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
560 conjugacy classes of subgroups.
The subgroup lattice has 394 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. C2×C4⋊#10596833 | C4 | semidirect |
| 9. #17989453 | C4 | semidirect |
| 37. #14556498 | C8 | semidirect |
| 41. #95×C73 | C8 | semidirect |
| 200. C73 | #7028 | semidirect |
| 238. #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 |
| #95×Dic73 | 2 |
| #7028 | 73 |