Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
362 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 61 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. #14530862 | C2 | semidirect |
| 3. #14528456 | C2 | semidirect |
| 4. #14526824 | C2 | semidirect |
| 5. #14526760 | C2 | semidirect |
| 6. #14526759 | C2 | semidirect |
| 7. C17×#2214 | C2 | semidirect |
| 19. #11762630 | C22 | semidirect |
| 21. #11762530 | C22 | semidirect |
| 23. C17×#494 | C22 | semidirect |
| 25. C17×#364 | C22 | semidirect |
| 159. #2214 | D17 | semidirect |
| 182. #494 | C2×D17 | semidirect |
| 192. #364 | C2×D17 | semidirect |
| 242. C17 | #12315 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540578 | 2 |
| #14530862 | 2 |
| #14528456 | 2 |
| #14526824 | 2 |
| #14526760 | 2 |
| #14526759 | 2 |
| C17×#2214 | 2 |
| #12315 | 17 |