Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
1222 conjugacy classes of subgroups.
The subgroup lattice has 318 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 21. C7⋊#401 | C4 | direct (N × H) |
| 192. C4×C7 | #401 | semidirect |
| 289. C7 | C4×#401 | semidirect |
| 309. C4 | C7⋊#401 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C7⋊#401 | 2 |
| C4×C7×#95 | 2 |
| C4×C7⋊#95 | 2 |
| #11727172 | 2 |
| #11727171 | 2 |
| #11727170 | 2 |
| C4×#401 | 7 |