Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
366 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 86 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. #14543864 | C2 | semidirect |
| 4. #14543847 | C2 | semidirect |
| 15. #11762858 | C4 | semidirect |
| 17. #11762856 | C4 | semidirect |
| 21. C17×#430 | C4 | semidirect |
| 140. #430 | #595 | semidirect |
| 184. C17 | #12877 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545015 | 2 |
| #14544667 | 2 |
| #14543864 | 2 |
| #14543847 | 2 |
| #14537394 | 2 |
| #12877 | 17 |