Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
438 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 438 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 |
|---|---|---|
| 2. #14527404 | C2 | semidirect |
| 3. C2×#11762548 | C2 | semidirect |
| 4. #14527135 | C2 | semidirect |
| 5. #14526683 | C2 | semidirect |
| 6. #14526628 | C2 | semidirect |
| 7. C17×#2968 | C2 | semidirect |
| 184. #2968 | D17 | semidirect |
| 300. C17 | #9265 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539745 | 2 |
| #14527404 | 2 |
| C2×#11762548 | 2 |
| #14527135 | 2 |
| #14526683 | 2 |
| #14526628 | 2 |
| C17×#2968 | 2 |
| #9265 | 17 |