Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
286 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 73 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. #31823427 | C2 | semidirect |
| 3. #31823199 | C2 | semidirect |
| 4. #31823196 | C2 | semidirect |
| 5. #380×C281 | C2 | semidirect |
| 6. C2×#17985138 | C4 | semidirect |
| 9. #22582858 | C4 | semidirect |
| 11. #22582853 | C4 | semidirect |
| 16. #22582838 | C4 | semidirect |
| 117. C281 | #1513 | semidirect |
| 121. #380 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31823974 | 2 |
| #31823427 | 2 |
| #31823199 | 2 |
| #31823196 | 2 |
| #380×C281 | 2 |
| #1513 | 281 |