Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
750 conjugacy classes of subgroups.
The subgroup lattice has 598 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #11725506 | C2 | direct (N × H) |
| 474. C2×C7 | #1392 | semidirect |
| 554. C7 | C2×#1392 | semidirect |
| 595. C2 | #11725506 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C7×#413 | 2 |
| C2×#90009 | 2 |
| C2×#90006 | 2 |
| #11725506 | 2 |
| C2×#1392 | 7 |