Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
454 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 96 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. #14544341 | C2 | semidirect |
| 3. #14544338 | C2 | semidirect |
| 4. #14543654 | C2 | semidirect |
| 153. #3622 | #100 | semidirect |
| 244. C17 | #8618 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544648 | 2 |
| #14544341 | 2 |
| #14544338 | 2 |
| #14543654 | 2 |
| C2×#11762884 | 2 |
| #8618 | 17 |