Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
296 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 4. #14528957 | C2 | semidirect |
| 5. #14526895 | C2 | semidirect |
| 6. #14526863 | C2 | semidirect |
| 7. C17×#1388 | C2 | semidirect |
| 126. #1388 | D17 | semidirect |
| 192. C17 | #13486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530534 | 2 |
| #14530531 | 2 |
| #14529675 | 2 |
| #14528957 | 2 |
| #14526895 | 2 |
| #14526863 | 2 |
| C17×#1388 | 2 |
| #13486 | 17 |