Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
416 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 70 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. #14544756 | C2 | semidirect |
| 4. #14544741 | C2 | semidirect |
| 5. #14543883 | C2 | semidirect |
| 6. #14543874 | C2 | semidirect |
| 286. C17 | #12963 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545662 | 2 |
| #14544796 | 2 |
| #14544756 | 2 |
| #14544741 | 2 |
| #14543883 | 2 |
| #14543874 | 2 |
| #14530424 | 2 |
| #12963 | 17 |