Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
238 conjugacy classes of subgroups; only the 126 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 126 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. #14543890 | C2 | semidirect |
| 4. C32×#595 | C2 | semidirect |
| 8. #11763742 | C4 | semidirect |
| 9. #11763741 | C4 | semidirect |
| 14. C2×#10587465 | C4 | semidirect |
| 15. C32×D17 | C4 | semidirect |
| 16. C32×D17 | C4 | semidirect |
| 19. C2×C17×C32 | C4 | semidirect |
| 96. C2×C32 | #595 | semidirect |
| 122. C17 | #13549 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545205 | 2 |
| #14544992 | 2 |
| #14543890 | 2 |
| C32×#595 | 2 |
| C2×C32×D17 | 2 |
| #13549 | 17 |