Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
420 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 74 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. #14544276 | C2 | semidirect |
| 4. #14544094 | C2 | semidirect |
| 5. #14543648 | C2 | semidirect |
| 6. #14543640 | C2 | semidirect |
| 296. C17 | #9373 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545675 | 2 |
| #14544304 | 2 |
| #14544276 | 2 |
| #14544094 | 2 |
| #14543648 | 2 |
| #14543640 | 2 |
| #14539790 | 2 |
| #9373 | 17 |