Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
794 conjugacy classes of subgroups; only the 156 normal subgroups are shown.
This group has 794 conjugacy classes of subgroups — too many to draw. Only its 156 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 |
|---|---|---|
| 12. #11762678 | C4 | semidirect |
| 13. #11762675 | C4 | semidirect |
| 16. C17×#382 | C4 | semidirect |
| 149. #382 | #595 | semidirect |
| 189. C17 | #11359 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763679 | 2 |
| #14544448 | 2 |
| C4×(C2×#595)⋊C4 | 2 |
| #14531190 | 2 |
| #11359 | 17 |