Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
314 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 314 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 |
|---|---|---|
| 3. C2×#22582798 | C2 | semidirect |
| 4. #31823219 | C2 | semidirect |
| 5. #519×C281 | C2 | semidirect |
| 8. #22582877 | C4 | semidirect |
| 9. #22582868 | C4 | semidirect |
| 81. C281 | #1912 | semidirect |
| 84. #519 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31824037 | 2 |
| #31823481 | 2 |
| C2×#22582798 | 2 |
| #31823219 | 2 |
| #519×C281 | 2 |
| #1912 | 281 |