Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
314 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 1. #14531027 | C2 | semidirect |
| 2. #14530819 | C2 | semidirect |
| 3. #14528263 | C2 | semidirect |
| 4. #14526836 | C2 | semidirect |
| 5. #14526751 | C2 | semidirect |
| 6. #14526742 | C2 | semidirect |
| 7. C17×#3355 | C2 | semidirect |
| 129. #3355 | D17 | semidirect |
| 213. C17 | #12348 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531027 | 2 |
| #14530819 | 2 |
| #14528263 | 2 |
| #14526836 | 2 |
| #14526751 | 2 |
| #14526742 | 2 |
| C17×#3355 | 2 |
| #12348 | 17 |