Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
300 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 125 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. #31823418 | C2 | semidirect |
| 4. C2×C8×Dic281 | C2 | semidirect |
| 5. #31823227 | C2 | semidirect |
| 6. #31823224 | C2 | semidirect |
| 12. #22582806 | C4 | semidirect |
| 13. #22582803 | C4 | semidirect |
| 14. #22582800 | C4 | semidirect |
| 20. #131×C281 | C4 | semidirect |
| 98. C281 | #1764 | semidirect |
| 109. #131 | Dic281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582806 | 2 |
| #31823459 | 2 |
| #31823418 | 2 |
| C2×C8×Dic281 | 2 |
| #31823227 | 2 |
| #31823224 | 2 |
| C2×#131×C281 | 2 |
| #1764 | 281 |