Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
428 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 428 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. #14537881 | C2 | semidirect |
| 3. #14527515 | C2 | semidirect |
| 5. #14526694 | C2 | semidirect |
| 6. #14526645 | C2 | semidirect |
| 238. C17 | #9530 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538883 | 2 |
| #14537881 | 2 |
| #14527515 | 2 |
| #14527209 | 2 |
| #14526694 | 2 |
| #14526645 | 2 |
| C17×#1466 | 2 |
| #9530 | 17 |