Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
786 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 786 conjugacy classes of subgroups — too many to draw. Only its 105 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. #14532424 | C2 | semidirect |
| 4. #14528719 | C2 | semidirect |
| 5. #14527357 | C2 | semidirect |
| 6. #14526630 | C2 | semidirect |
| 132. C22⋊Dic17 | SD16 | semidirect |
| 311. C17 | #9949 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539541 | 2 |
| #14532424 | 2 |
| #14529621 | 2 |
| #14528719 | 2 |
| #14527357 | 2 |
| #14526630 | 2 |
| C2×C17×#448 | 2 |
| #9949 | 17 |