Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
214 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 2. #14545873 | C2 | semidirect |
| 3. #14545872 | C2 | semidirect |
| 5. #11763918 | C4 | semidirect |
| 7. #11763916 | C4 | semidirect |
| 100. C17 | #13551 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14546015 | 2 |
| #14545873 | 2 |
| #14545872 | 2 |
| #14544994 | 2 |
| #13551 | 17 |