Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
458 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14527232 | C2 | semidirect |
| 4. #14527230 | C2 | semidirect |
| 6. #14526648 | C2 | semidirect |
| 7. C17×#1288 | C2 | semidirect |
| 178. #1288 | D17 | semidirect |
| 276. C17 | #9493 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537420 | 2 |
| #14534363 | 2 |
| #14527232 | 2 |
| #14527230 | 2 |
| #14527116 | 2 |
| #14526648 | 2 |
| C17×#1288 | 2 |
| #9493 | 17 |