Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
358 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 93 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. C4×#10587493 | C2 | semidirect |
| 3. #14527545 | C2 | semidirect |
| 6. #14526655 | C2 | semidirect |
| 7. C17×#1291 | C2 | semidirect |
| 151. #1291 | D17 | semidirect |
| 239. C17 | #8692 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537753 | 2 |
| C4×#10587493 | 2 |
| #14527545 | 2 |
| #14527392 | 2 |
| #14527389 | 2 |
| #14526655 | 2 |
| C17×#1291 | 2 |
| #8692 | 17 |