Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
426 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14526686 | C2 | semidirect |
| 5. #14526685 | C2 | semidirect |
| 6. #14526642 | C2 | semidirect |
| 7. C17×#1286 | C2 | semidirect |
| 143. #1286 | D17 | semidirect |
| 220. C17 | #8771 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531759 | 2 |
| #14528773 | 2 |
| #14527104 | 2 |
| #14526686 | 2 |
| #14526685 | 2 |
| #14526642 | 2 |
| C17×#1286 | 2 |
| #8771 | 17 |