Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
488 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 488 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. #14537925 | C2 | semidirect |
| 3. #14529582 | C2 | semidirect |
| 4. #14527370 | C2 | semidirect |
| 5. #14527226 | C2 | semidirect |
| 6. #14526633 | C2 | semidirect |
| 7. C17×#1302 | C2 | semidirect |
| 200. #1302 | D17 | semidirect |
| 317. C17 | #9052 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538833 | 2 |
| #14537925 | 2 |
| #14529582 | 2 |
| #14527370 | 2 |
| #14527226 | 2 |
| #14526633 | 2 |
| C17×#1302 | 2 |
| #9052 | 17 |