Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
386 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14528938 | C2 | semidirect |
| 3. #14527484 | C2 | semidirect |
| 6. #14526653 | C2 | semidirect |
| 7. C17×#1506 | C2 | semidirect |
| 139. #1506 | D17 | semidirect |
| 221. C17 | #10514 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540096 | 2 |
| #14528938 | 2 |
| #14527484 | 2 |
| #14527480 | 2 |
| #14527291 | 2 |
| #14526653 | 2 |
| C17×#1506 | 2 |
| #10514 | 17 |