Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
758 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 758 conjugacy classes of subgroups — too many to draw. Only its 87 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. #14528864 | C2 | semidirect |
| 3. #14526788 | C2 | semidirect |
| 4. C17×#1463 | C2 | semidirect |
| 15. #11762578 | C22 | semidirect |
| 19. C17×#324 | C22 | semidirect |
| 156. #1463 | D17 | semidirect |
| 201. #324 | C2×D17 | semidirect |
| 240. C17 | #11802 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762726 | 2 |
| #14528864 | 2 |
| #14526788 | 2 |
| C17×#1463 | 2 |
| #11802 | 17 |