Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
384 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14527547 | C2 | semidirect |
| 4. #14526640 | C2 | semidirect |
| 5. C4×C17×#106 | C2 | semidirect |
| 7. #11762939 | C4 | semidirect |
| 8. C8×Dic34 | C4 | semidirect |
| 9. #11762888 | C4 | semidirect |
| 11. C8×D68 | C4 | semidirect |
| 131. C4×#106 | D17 | semidirect |
| 213. C17 | #8696 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537759 | 2 |
| #14527547 | 2 |
| #14527307 | 2 |
| #14526640 | 2 |
| C4×C17×#106 | 2 |
| #8696 | 17 |