Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
412 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14530549 | C2 | semidirect |
| 5. #14528907 | C2 | semidirect |
| 6. #14526900 | C2 | semidirect |
| 7. C17×#1384 | C2 | semidirect |
| 11. #11762920 | C4 | semidirect |
| 124. #1384 | D17 | semidirect |
| 192. C17 | #12826 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537635 | 2 |
| #14530549 | 2 |
| C2×#11762623 | 2 |
| #14530499 | 2 |
| #14528907 | 2 |
| #14526900 | 2 |
| C17×#1384 | 2 |
| #12826 | 17 |