Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
462 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 462 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. #14531585 | C2 | semidirect |
| 4. #14527387 | C2 | semidirect |
| 5. #14526648 | C2 | semidirect |
| 6. #14526641 | C2 | semidirect |
| 9. #11763215 | C4 | semidirect |
| 10. #11763173 | C4 | semidirect |
| 276. C17 | #9382 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539970 | 2 |
| #14531585 | 2 |
| #14529704 | 2 |
| #14527387 | 2 |
| #14526648 | 2 |
| #14526641 | 2 |
| C17×#1514 | 2 |
| #9382 | 17 |