Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
334 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 60 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 |
|---|---|---|
| 3. #14543932 | C2 | semidirect |
| 4. #14543931 | C2 | semidirect |
| 12. #11763366 | C4 | semidirect |
| 16. #11763164 | C4 | semidirect |
| 17. #11763164 | C4 | semidirect |
| 22. C4×M16×C17 | C4 | semidirect |
| 37. #10587556 | C2×C4 | semidirect |
| 38. #10587556 | C2×C4 | semidirect |
| 46. C4×C8×C17 | C2×C4 | semidirect |
| 47. C4×C8×C17 | C2×C4 | semidirect |
| 163. C4×M16 | #595 | semidirect |
| 205. C4×C8 | C2×#595 | semidirect |
| 206. C4×C8 | C2×#595 | semidirect |
| 207. C17 | #13603 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763718 | 2 |
| C2×#11763716 | 2 |
| #14543932 | 2 |
| #14543931 | 2 |
| #14539171 | 2 |
| #13603 | 17 |