Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
408 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 69 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. #14527117 | C2 | semidirect |
| 3. #14527097 | C2 | semidirect |
| 4. #14526730 | C2 | semidirect |
| 5. #14526715 | C2 | semidirect |
| 6. #14526715 | C2 | semidirect |
| 7. C17×#1325 | C2 | semidirect |
| 164. #1325 | D17 | semidirect |
| 256. C17 | #11554 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14533243 | 2 |
| #14527117 | 2 |
| #14527097 | 2 |
| #14526730 | 2 |
| #14526715 | 2 |
| C17×#1325 | 2 |
| #11554 | 17 |