Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1202 conjugacy classes of subgroups; only the 395 normal subgroups are shown.
This group has 1202 conjugacy classes of subgroups — too many to draw. Only its 395 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. #14537865 | C2 | semidirect |
| 2. #14531705 | C2 | semidirect |
| 3. #14527344 | C2 | semidirect |
| 4. #14527279 | C2 | semidirect |
| 15. C17×#550 | C4 | semidirect |
| 16. D4×Q8×C17 | C4 | semidirect |
| 127. #550 | Dic17 | semidirect |
| 128. D4×Q8 | Dic17 | semidirect |
| 176. C17 | #17618 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537865 | 2 |
| #14531705 | 2 |
| #14527344 | 2 |
| #14527279 | 2 |
| C17×#3497 | 2 |
| #17618 | 17 |