Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
360 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 360 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 |
|---|---|---|
| 2. #14544702 | C2 | semidirect |
| 3. #14544359 | C2 | semidirect |
| 5. #14543672 | C2 | semidirect |
| 6. #14543628 | C2 | semidirect |
| 248. C17 | #8877 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545723 | 2 |
| #14544702 | 2 |
| #14544359 | 2 |
| #14544101 | 2 |
| #14543672 | 2 |
| #14543628 | 2 |
| #14527269 | 2 |
| #8877 | 17 |