Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
488 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14527501 | C2 | semidirect |
| 5. #14526657 | C2 | semidirect |
| 6. #14526655 | C2 | semidirect |
| 7. C17×#1556 | C2 | semidirect |
| 134. #1556 | D17 | semidirect |
| 213. C17 | #9421 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539241 | 2 |
| #14537854 | 2 |
| #14527501 | 2 |
| #14527418 | 2 |
| #14526657 | 2 |
| #14526655 | 2 |
| C17×#1556 | 2 |
| #9421 | 17 |