Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
256 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 1. #14530922 | C2 | semidirect |
| 3. #14528373 | C2 | semidirect |
| 4. #14527578 | C2 | semidirect |
| 5. #14526847 | C2 | semidirect |
| 6. #14526840 | C2 | semidirect |
| 7. C17×#1361 | C2 | semidirect |
| 68. D136 | SD16 | semidirect |
| 97. #3622 | D16 | semidirect |
| 104. #1361 | D17 | semidirect |
| 161. C17 | #12416 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530922 | 2 |
| #14530816 | 2 |
| #14528373 | 2 |
| #14527578 | 2 |
| #14526847 | 2 |
| #14526840 | 2 |
| C17×#1361 | 2 |
| #12416 | 17 |