Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
570 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 570 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 |
|---|---|---|
| 2. #14528764 | C2 | semidirect |
| 3. #14526609 | C2 | semidirect |
| 4. #14526604 | C2 | semidirect |
| 5. C17×#1728 | C2 | semidirect |
| 167. #1728 | D17 | semidirect |
| 262. C17 | #7710 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537085 | 2 |
| #14528764 | 2 |
| #14526609 | 2 |
| #14526604 | 2 |
| C17×#1728 | 2 |
| #7710 | 17 |