Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
382 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 124 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 |
|---|---|---|
| 3. #14545005 | C2 | semidirect |
| 4. C2×#11763702 | C2 | semidirect |
| 5. #14543834 | C2 | semidirect |
| 6. #14543832 | C2 | semidirect |
| 9. #11763867 | C4 | semidirect |
| 15. #11763707 | C4 | semidirect |
| 201. C17 | #12618 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545751 | 2 |
| #14545026 | 2 |
| #14545005 | 2 |
| C2×#11763702 | 2 |
| #14543834 | 2 |
| #14543832 | 2 |
| #14528631 | 2 |
| #12618 | 17 |