Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
392 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14530586 | C2 | semidirect |
| 3. #14527544 | C2 | semidirect |
| 4. #14526828 | C2 | semidirect |
| 5. #14526827 | C2 | semidirect |
| 6. #14526826 | C2 | semidirect |
| 7. C17×#1360 | C2 | semidirect |
| 157. #1360 | D17 | semidirect |
| 239. C17 | #11960 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539209 | 2 |
| #14530586 | 2 |
| #14527544 | 2 |
| #14526828 | 2 |
| #14526827 | 2 |
| #14526826 | 2 |
| C17×#1360 | 2 |
| #11960 | 17 |