Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
432 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 90 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. #14544712 | C2 | semidirect |
| 2. #14544499 | C2 | semidirect |
| 3. #14543605 | C2 | semidirect |
| 216. C17 | #7656 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544712 | 2 |
| #14544499 | 2 |
| #14543605 | 2 |
| #14543601 | 2 |
| #14537157 | 2 |
| #7656 | 17 |