Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
346 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 9. #11763213 | C4 | semidirect |
| 10. #11763187 | C4 | semidirect |
| 14. Q16×Dic17 | C4 | semidirect |
| 15. #11762903 | C4 | semidirect |
| 217. C17 | #11745 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539365 | 2 |
| #14530584 | 2 |
| #14528672 | 2 |
| #14526797 | 2 |
| #14526796 | 2 |
| #14526795 | 2 |
| C17×#1348 | 2 |
| #11745 | 17 |