Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
386 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 75 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. #14528959 | C2 | semidirect |
| 3. #14527507 | C2 | semidirect |
| 4. #14527506 | C2 | semidirect |
| 5. #14527394 | C2 | semidirect |
| 6. #14526694 | C2 | semidirect |
| 7. C17×#1530 | C2 | semidirect |
| 143. #1530 | D17 | semidirect |
| 226. C17 | #10524 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540162 | 2 |
| #14528959 | 2 |
| #14527507 | 2 |
| #14527506 | 2 |
| #14527394 | 2 |
| #14526694 | 2 |
| C17×#1530 | 2 |
| #10524 | 17 |