Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
518 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 518 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14529598 | C2 | semidirect |
| 3. #14528919 | C2 | semidirect |
| 4. C2×#11762549 | C2 | semidirect |
| 5. C2×#11762548 | C2 | semidirect |
| 6. #14526666 | C2 | semidirect |
| 7. C17×#1959 | C2 | semidirect |
| 73. #10587474 | D4 | semidirect |
| 196. #1959 | D17 | semidirect |
| 308. C17 | #10425 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14536829 | 2 |
| #14529598 | 2 |
| #14528919 | 2 |
| C2×#11762549 | 2 |
| C2×#11762548 | 2 |
| #14526666 | 2 |
| C17×#1959 | 2 |
| #10425 | 17 |