Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
474 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 80 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. #14545621 | C2 | semidirect |
| 2. #14544243 | C2 | semidirect |
| 3. #14544115 | C2 | semidirect |
| 4. #14544054 | C2 | semidirect |
| 5. #14543690 | C2 | semidirect |
| 6. #14543668 | C2 | semidirect |
| 290. C17 | #9349 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545621 | 2 |
| #14544243 | 2 |
| #14544115 | 2 |
| #14544054 | 2 |
| #14543690 | 2 |
| #14543668 | 2 |
| #14538276 | 2 |
| #9349 | 17 |