Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
426 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 98 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. #14543841 | C2 | semidirect |
| 4. #14543841 | C2 | semidirect |
| 14. #11762847 | C4 | semidirect |
| 15. #11762846 | C4 | semidirect |
| 16. #11762846 | C4 | semidirect |
| 22. C17×#427 | C4 | semidirect |
| 168. #427 | #595 | semidirect |
| 218. C17 | #12868 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545009 | 2 |
| #14544661 | 2 |
| #14543841 | 2 |
| D17×#427 | 2 |
| #12868 | 17 |