Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
598 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 598 conjugacy classes of subgroups — too many to draw. Only its 97 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. C22×C22⋊Dic281 | C2 | semidirect |
| 3. C2×#22582793 | C2 | semidirect |
| 4. #31823229 | C2 | semidirect |
| 5. #379×C281 | C2 | semidirect |
| 6. C22×C22⋊D281 | C4 | semidirect |
| 14. C2×C22⋊Dic281 | C4 | semidirect |
| 21. C23×D281 | C2×C4 | semidirect |
| 32. C22×Dic281 | C2×C4 | semidirect |
| 33. C22×Dic281 | C2×C4 | semidirect |
| 40. C22⋊Dic281 | D4 | semidirect |
| 108. C22×C281 | #99 | semidirect |
| 130. C281 | #1898 | semidirect |
| 135. #379 | D281 | semidirect |
| 242. C22 | #22582793 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582848 | 2 |
| C22×C22⋊Dic281 | 2 |
| C2×#22582793 | 2 |
| #31823229 | 2 |
| #379×C281 | 2 |
| #1898 | 281 |