Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
436 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14527422 | C2 | semidirect |
| 4. #14526655 | C2 | semidirect |
| 5. C17×#2987 | C2 | semidirect |
| 85. #2987 | D17 | semidirect |
| 140. C17 | #9424 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539160 | 2 |
| #14527497 | 2 |
| #14527422 | 2 |
| #14526655 | 2 |
| C17×#2987 | 2 |
| #9424 | 17 |