Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
222 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 69 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. #31823329 | C2 | semidirect |
| 3. #31823201 | C2 | semidirect |
| 5. #432×C281 | C2 | semidirect |
| 7. #22582871 | C4 | semidirect |
| 8. #22582867 | C4 | semidirect |
| 12. C4×Dic562 | C4 | semidirect |
| 13. C4×D1124 | C4 | semidirect |
| 97. C281 | #1512 | semidirect |
| 100. #432 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31823997 | 2 |
| #31823329 | 2 |
| #31823201 | 2 |
| #31823198 | 2 |
| #432×C281 | 2 |
| #1512 | 281 |