Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
300 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 4. #31823419 | C2 | semidirect |
| 5. C2×C4×#14555886 | C2 | semidirect |
| 6. #31823227 | C2 | semidirect |
| 7. #339×C281 | C2 | semidirect |
| 10. #22582887 | C4 | semidirect |
| 16. #22582807 | C4 | semidirect |
| 17. #22582802 | C4 | semidirect |
| 18. #22582799 | C4 | semidirect |
| 98. C281 | #1764 | semidirect |
| 106. #339 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582887 | 2 |
| C2×#22582807 | 2 |
| #31823457 | 2 |
| #31823419 | 2 |
| C2×C4×#14555886 | 2 |
| #31823227 | 2 |
| #339×C281 | 2 |
| #1764 | 281 |