Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
418 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 3. #14544359 | C2 | semidirect |
| 4. #14544357 | C2 | semidirect |
| 5. #14543679 | C2 | semidirect |
| 6. #14543679 | C2 | semidirect |
| 270. C17 | #8864 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545638 | 2 |
| #14544909 | 2 |
| #14544359 | 2 |
| #14544357 | 2 |
| #14543679 | 2 |
| #14527103 | 2 |
| #8864 | 17 |