Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
464 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 1. #14530476 | C2 | semidirect |
| 2. #14530434 | C2 | semidirect |
| 3. #14528834 | C2 | semidirect |
| 4. #14528584 | C2 | semidirect |
| 15. C22×D8×C17 | C4 | semidirect |
| 22. C17×#427 | C4 | semidirect |
| 23. C17×#418 | C4 | semidirect |
| 166. C22×D8 | Dic17 | semidirect |
| 174. #427 | Dic17 | semidirect |
| 175. #418 | Dic17 | semidirect |
| 228. C17 | #13234 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530476 | 2 |
| #14530434 | 2 |
| #14528834 | 2 |
| #14528584 | 2 |
| C17×#3058 | 2 |
| #13234 | 17 |