Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
622 conjugacy classes of subgroups.
The subgroup lattice has 360 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 5. #17989453 | C4 | semidirect |
| 22. C2×C4⋊Dic73 | C8 | semidirect |
| 35. C2×C4⋊C4×C73 | C8 | semidirect |
| 182. C73 | #7025 | semidirect |
| 208. C2×C4⋊C4 | #10596833 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989453 | 2 |
| #22608160 | 2 |
| #7025 | 73 |