Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
528 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 101 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. #14528926 | C2 | semidirect |
| 3. #14528899 | C2 | semidirect |
| 4. #14526605 | C2 | semidirect |
| 5. #14526604 | C2 | semidirect |
| 6. #14526604 | C2 | semidirect |
| 7. C17×#1270 | C2 | semidirect |
| 189. #1270 | D17 | semidirect |
| 285. C17 | #7719 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537138 | 2 |
| #14528926 | 2 |
| #14528899 | 2 |
| #14526605 | 2 |
| #14526604 | 2 |
| C17×#1270 | 2 |
| #7719 | 17 |