Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
566 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 106 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. C2×#10587556 | C4 | semidirect |
| 14. #11762708 | C4 | semidirect |
| 15. #11762708 | C4 | semidirect |
| 22. C17×#382 | C4 | semidirect |
| 196. #382 | #595 | semidirect |
| 245. C17 | #9886 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587543 | 2 |
| #14543960 | 2 |
| #14543657 | 2 |
| #14537095 | 2 |
| #9886 | 17 |