Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
594 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 594 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 3. #14533269 | C2 | semidirect |
| 4. #14528868 | C2 | semidirect |
| 5. #14527355 | C2 | semidirect |
| 6. #14526632 | C2 | semidirect |
| 287. C17 | #9953 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539541 | 2 |
| C2×#11763120 | 2 |
| #14533269 | 2 |
| #14528868 | 2 |
| #14527355 | 2 |
| #14526632 | 2 |
| C17×#1964 | 2 |
| #9953 | 17 |