Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
494 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 71 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. #14527121 | C2 | semidirect |
| 3. #14527101 | C2 | semidirect |
| 4. #14526718 | C2 | semidirect |
| 5. #14526715 | C2 | semidirect |
| 6. #14526715 | C2 | semidirect |
| 7. C17×#1319 | C2 | semidirect |
| 181. #1319 | D17 | semidirect |
| 280. C17 | #11566 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14533757 | 2 |
| #14527121 | 2 |
| #14527101 | 2 |
| #14526718 | 2 |
| #14526715 | 2 |
| C17×#1319 | 2 |
| #11566 | 17 |