Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
468 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 78 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. #14544691 | C2 | semidirect |
| 3. #14544678 | C2 | semidirect |
| 5. #14543667 | C2 | semidirect |
| 6. #14543625 | C2 | semidirect |
| 27. #11763137 | C4 | semidirect |
| 29. #11763127 | C4 | semidirect |
| 30. #11763123 | C4 | semidirect |
| 34. C17×#484 | C4 | semidirect |
| 232. #484 | #595 | semidirect |
| 317. C17 | #9038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545654 | 2 |
| #14544691 | 2 |
| #14544678 | 2 |
| #14544162 | 2 |
| #14543667 | 2 |
| #14543625 | 2 |
| #14538700 | 2 |
| #9038 | 17 |