Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
336 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14530584 | C2 | semidirect |
| 3. #14528910 | C2 | semidirect |
| 4. #14526797 | C2 | semidirect |
| 5. #14526795 | C2 | semidirect |
| 9. #11763210 | C4 | semidirect |
| 10. #11763192 | C4 | semidirect |
| 14. #11762903 | C4 | semidirect |
| 16. D8×Dic17 | C4 | semidirect |
| 221. C17 | #11860 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539349 | 2 |
| #14530584 | 2 |
| #14528910 | 2 |
| #14526797 | 2 |
| #14526795 | 2 |
| #14526793 | 2 |
| C17×#1347 | 2 |
| #11860 | 17 |