Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
452 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14537885 | C2 | semidirect |
| 3. #14527521 | C2 | semidirect |
| 5. #14526675 | C2 | semidirect |
| 6. #14526673 | C2 | semidirect |
| 242. C17 | #9438 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539158 | 2 |
| #14537885 | 2 |
| #14527521 | 2 |
| #14527452 | 2 |
| #14526675 | 2 |
| #14526673 | 2 |
| C17×#1545 | 2 |
| #9438 | 17 |