Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
300 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 83 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. C2×#22582814 | C2 | semidirect |
| 3. C2×#22582807 | C2 | semidirect |
| 4. #31823431 | C2 | semidirect |
| 5. #31823430 | C2 | semidirect |
| 6. C2×C4×#14555886 | C2 | semidirect |
| 7. C2×#104×C281 | C2 | semidirect |
| 11. C2×#17985128 | C4 | semidirect |
| 12. C2×#17985126 | C4 | semidirect |
| 13. C2×#17985125 | C4 | semidirect |
| 14. C2×#17985123 | C4 | semidirect |
| 119. C281 | #1974 | semidirect |
| 124. C2×#104 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582899 | 2 |
| C2×#22582814 | 2 |
| C2×#22582807 | 2 |
| #31823431 | 2 |
| #31823430 | 2 |
| C2×C4×#14555886 | 2 |
| C2×#104×C281 | 2 |
| #1974 | 281 |