Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
368 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 115 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #11729761 | C2 | semidirect |
| 3. #11725525 | C2 | semidirect |
| 4. #11725487 | C2 | semidirect |
| 230. C7 | #11484 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C7×#2930 | 2 |
| #11729761 | 2 |
| #11725525 | 2 |
| #11725487 | 2 |
| #11484 | 7 |