Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
610 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 610 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14534573 | C2 | semidirect |
| 3. #14529621 | C2 | semidirect |
| 4. #14528883 | C2 | semidirect |
| 5. #14527301 | C2 | semidirect |
| 6. #14526691 | C2 | semidirect |
| 7. C17×#3094 | C2 | semidirect |
| 196. #3094 | D17 | semidirect |
| 318. C17 | #9932 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539581 | 2 |
| #14534573 | 2 |
| #14529621 | 2 |
| #14528883 | 2 |
| #14527301 | 2 |
| #14526691 | 2 |
| C17×#3094 | 2 |
| #9932 | 17 |