Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
1202 conjugacy classes of subgroups; only the 355 normal subgroups are shown.
This group has 1202 conjugacy classes of subgroups — too many to draw. Only its 355 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. C7×#2351 | C2 | semidirect |
| 3. #11739880 | C2 | semidirect |
| 4. #11727299 | C2 | semidirect |
| 5. #11727223 | C2 | semidirect |
| 9. #90268 | C4 | semidirect |
| 11. Q8×D28 | C4 | semidirect |
| 53. #2351 | D7 | semidirect |
| 231. C7 | #17618 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11742886 | 2 |
| C7×#2351 | 2 |
| #11739880 | 2 |
| #11727299 | 2 |
| #11727223 | 2 |
| #17618 | 7 |