Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
494 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 70 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. #14544040 | C2 | semidirect |
| 2. #14544020 | C2 | semidirect |
| 3. #14543714 | C2 | semidirect |
| 4. #14543713 | C2 | semidirect |
| 256. C17 | #11566 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544040 | 2 |
| #14544020 | 2 |
| #14543714 | 2 |
| #14543713 | 2 |
| #14533754 | 2 |
| #11566 | 17 |