Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
374 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 84 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. #14544353 | C2 | semidirect |
| 4. #14544351 | C2 | semidirect |
| 5. #14543675 | C2 | semidirect |
| 6. #14543675 | C2 | semidirect |
| 257. C17 | #8863 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545466 | 2 |
| #14544643 | 2 |
| #14544353 | 2 |
| #14544351 | 2 |
| #14543675 | 2 |
| #14527097 | 2 |
| #8863 | 17 |