Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
412 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 84 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. D17⋊#365 | C2 | semidirect |
| 4. #14544887 | C2 | semidirect |
| 5. #14543848 | C2 | semidirect |
| 6. #14543827 | C2 | semidirect |
| 27. #11762620 | C4 | semidirect |
| 28. #11762619 | C4 | semidirect |
| 29. #11762618 | C4 | semidirect |
| 30. C17×#360 | C4 | semidirect |
| 113. Q16×C17 | C4⋊C4 | semidirect |
| 115. D8×C17 | C4⋊C4 | semidirect |
| 125. Dic68 | C4⋊C4 | semidirect |
| 126. D136 | C4⋊C4 | semidirect |
| 224. #360 | #595 | semidirect |
| 280. C17 | #12950 | semidirect |
| 297. Q16 | C4⋊#595 | semidirect |
| 304. D8 | C4⋊#595 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#443 | 2 |
| D17⋊#365 | 2 |
| D17⋊#360 | 2 |
| #14544887 | 2 |
| #14543848 | 2 |
| #14543827 | 2 |
| D17×#360 | 2 |
| #12950 | 17 |