Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
450 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 4. #14527378 | C2 | semidirect |
| 5. #14527297 | C2 | semidirect |
| 6. #14526676 | C2 | semidirect |
| 7. C17×#1291 | C2 | semidirect |
| 11. #11763105 | C4 | semidirect |
| 12. #11763100 | C4 | semidirect |
| 13. #11763020 | C4 | semidirect |
| 14. #11763015 | C4 | semidirect |
| 176. #1291 | D17 | semidirect |
| 276. C17 | #9160 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538947 | 2 |
| #14537801 | 2 |
| #14528597 | 2 |
| #14527378 | 2 |
| #14527297 | 2 |
| #14526676 | 2 |
| C17×#1291 | 2 |
| #9160 | 17 |