Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
580 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 580 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14526805 | C2 | semidirect |
| 11. C23×Q8×C17 | C4 | semidirect |
| 14. C17×#395 | C4 | semidirect |
| 19. C17×#380 | C4 | semidirect |
| 170. C23×Q8 | Dic17 | semidirect |
| 175. #395 | Dic17 | semidirect |
| 181. #380 | Dic17 | semidirect |
| 223. C17 | #11898 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14528772 | 2 |
| #14527105 | 2 |
| #14526805 | 2 |
| C17×#2409 | 2 |
| #11898 | 17 |