Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
382 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 116 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. #14545007 | C2 | semidirect |
| 4. C2×#11763702 | C2 | semidirect |
| 5. #14543835 | C2 | semidirect |
| 6. #14543832 | C2 | semidirect |
| 9. #11763868 | C4 | semidirect |
| 15. #11763708 | 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 |
|---|---|
| #14545753 | 2 |
| #14545028 | 2 |
| #14545007 | 2 |
| C2×#11763702 | 2 |
| #14543835 | 2 |
| #14543832 | 2 |
| #14528627 | 2 |
| #12618 | 17 |