Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
458 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14537871 | C2 | semidirect |
| 3. #14528615 | C2 | semidirect |
| 6. #14526641 | C2 | semidirect |
| 7. C17×#1302 | C2 | semidirect |
| 11. #11763105 | C4 | semidirect |
| 12. #11763105 | C4 | semidirect |
| 13. #11763010 | C4 | semidirect |
| 14. #11763010 | C4 | semidirect |
| 182. #1302 | D17 | semidirect |
| 285. C17 | #9164 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538907 | 2 |
| #14537871 | 2 |
| #14528615 | 2 |
| #14527394 | 2 |
| #14527280 | 2 |
| #14526641 | 2 |
| C17×#1302 | 2 |
| #9164 | 17 |