Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
482 conjugacy classes of subgroups.
The subgroup lattice has 334 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #11725436 | C2 | semidirect |
| 5. #11725436 | C2 | semidirect |
| 300. C7 | #8720 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C7×#2283 | 2 |
| #11729283 | 2 |
| #11725436 | 2 |
| #8720 | 7 |