Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
816 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 816 conjugacy classes of subgroups — too many to draw. Only its 147 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. #11729495 | C2 | semidirect |
| 3. C2×#89338 | C2 | semidirect |
| 4. #11729480 | C2 | semidirect |
| 5. C2×#89335 | C2 | semidirect |
| 8. C7×#562 | C4 | semidirect |
| 105. #562 | Dic7 | semidirect |
| 283. C7 | #8508 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C7×#562 | 2 |
| #11729495 | 2 |
| C2×#89338 | 2 |
| #11729480 | 2 |
| C2×#89335 | 2 |
| #8508 | 7 |