Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
386 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 386 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. C4×#10587536 | C2 | semidirect |
| 2. #14544343 | C2 | semidirect |
| 4. #14543670 | C2 | semidirect |
| 216. C17 | #8673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587536 | 2 |
| #14544343 | 2 |
| #14544122 | 2 |
| #14543670 | 2 |
| #14537749 | 2 |
| #8673 | 17 |