Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
616 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 616 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 11. C23×Q8×C17 | C4 | semidirect |
| 18. C17×#385 | C4 | semidirect |
| 19. C17×#380 | C4 | semidirect |
| 47. #10587505 | Q8 | semidirect |
| 173. C23×Q8 | Dic17 | semidirect |
| 183. #385 | Dic17 | semidirect |
| 184. #380 | Dic17 | semidirect |
| 227. C17 | #13296 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14528776 | 2 |
| C4×#10587505 | 2 |
| #14526902 | 2 |
| C17×#2409 | 2 |
| #13296 | 17 |