Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
624 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 624 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14530438 | C2 | semidirect |
| 5. #14526914 | C2 | semidirect |
| 6. #14526906 | C2 | semidirect |
| 7. C17×#2135 | C2 | semidirect |
| 9. C2×#10587628 | C4 | semidirect |
| 10. C22×#63231 | C4 | semidirect |
| 18. #11762817 | C4 | semidirect |
| 19. #11762803 | C4 | semidirect |
| 215. #2135 | D17 | semidirect |
| 322. C17 | #13096 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538077 | 2 |
| #14537265 | 2 |
| #14530438 | 2 |
| #14528760 | 2 |
| #14526914 | 2 |
| #14526906 | 2 |
| C17×#2135 | 2 |
| #13096 | 17 |