Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
418 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14528914 | C2 | semidirect |
| 3. #14527530 | C2 | semidirect |
| 6. #14526644 | C2 | semidirect |
| 7. C17×#1286 | C2 | semidirect |
| 11. #11762886 | C4 | semidirect |
| 13. #11762874 | C4 | semidirect |
| 150. #1286 | D17 | semidirect |
| 231. C17 | #8680 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537495 | 2 |
| #14528914 | 2 |
| #14527530 | 2 |
| #14527345 | 2 |
| #14527343 | 2 |
| #14526644 | 2 |
| C17×#1286 | 2 |
| #8680 | 17 |