Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
384 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 97 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. C4×#10587478 | C2 | semidirect |
| 3. #14527545 | C2 | semidirect |
| 6. #14526641 | C2 | semidirect |
| 7. C17×#1285 | C2 | semidirect |
| 9. #11762936 | C4 | semidirect |
| 10. #11762933 | C4 | semidirect |
| 11. #11762886 | C4 | semidirect |
| 13. #11762874 | C4 | semidirect |
| 159. #1285 | D17 | semidirect |
| 251. C17 | #8695 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537753 | 2 |
| C4×#10587478 | 2 |
| #14527545 | 2 |
| #14527310 | 2 |
| #14527307 | 2 |
| #14526641 | 2 |
| C17×#1285 | 2 |
| #8695 | 17 |