Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
420 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14527421 | C2 | semidirect |
| 4. #14527334 | C2 | semidirect |
| 6. #14526656 | C2 | semidirect |
| 7. C17×#1288 | C2 | semidirect |
| 10. #11763214 | C4 | semidirect |
| 11. #11763182 | C4 | semidirect |
| 12. #11763160 | C4 | semidirect |
| 13. #11763156 | C4 | semidirect |
| 144. #1288 | D17 | semidirect |
| 226. C17 | #9415 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539502 | 2 |
| #14537854 | 2 |
| #14527421 | 2 |
| #14527334 | 2 |
| #14527330 | 2 |
| #14526656 | 2 |
| C17×#1288 | 2 |
| #9415 | 17 |