Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
970 conjugacy classes of subgroups.
The subgroup lattice has 508 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #11728585 | C2 | semidirect |
| 5. #11728541 | C2 | semidirect |
| 475. C7 | #17394 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6433 | 2 |
| C7×#2920 | 2 |
| #11739494 | 2 |
| #11728585 | 2 |
| #11728541 | 2 |
| #11727725 | 2 |
| #17394 | 7 |