Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
438 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 438 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 |
|---|---|---|
| 1. #14544712 | C2 | semidirect |
| 2. C4×#10587544 | C2 | semidirect |
| 3. #14543602 | C2 | semidirect |
| 221. C17 | #7672 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544712 | 2 |
| C4×#10587544 | 2 |
| #14543602 | 2 |
| #14543600 | 2 |
| #14537148 | 2 |
| #7672 | 17 |