Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
320 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 89 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×#22582805 | C2 | semidirect |
| 3. #31823309 | C2 | semidirect |
| 4. #423×C281 | C2 | semidirect |
| 6. #22582879 | C4 | semidirect |
| 7. #22582876 | C4 | semidirect |
| 8. #22582867 | C4 | semidirect |
| 28. C4×Dic281 | D4 | semidirect |
| 71. C281 | #1963 | semidirect |
| 74. #423 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31824013 | 2 |
| C2×#22582805 | 2 |
| #31823309 | 2 |
| #423×C281 | 2 |
| #1963 | 281 |