Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
434 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 434 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. #14528830 | C2 | semidirect |
| 4. #14526914 | C2 | semidirect |
| 5. C17×#1813 | C2 | semidirect |
| 6. C22×C8×D17 | C4 | semidirect |
| 13. #11762837 | C4 | semidirect |
| 16. #11762772 | C4 | semidirect |
| 17. #11762764 | C4 | semidirect |
| 162. #1813 | D17 | semidirect |
| 254. C17 | #12805 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537476 | 2 |
| #14530426 | 2 |
| #14528830 | 2 |
| #14526914 | 2 |
| C17×#1813 | 2 |
| #12805 | 17 |