Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
488 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 1. #14545723 | C2 | semidirect |
| 2. #14544910 | C2 | semidirect |
| 3. #14544237 | C2 | semidirect |
| 4. #14544125 | C2 | semidirect |
| 5. #14543679 | C2 | semidirect |
| 6. #14543628 | C2 | semidirect |
| 317. C17 | #9052 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545723 | 2 |
| #14544910 | 2 |
| #14544237 | 2 |
| #14544125 | 2 |
| #14543679 | 2 |
| #14543628 | 2 |
| #14538834 | 2 |
| #9052 | 17 |