Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
332 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 1. #31824230 | C2 | semidirect |
| 3. #31823481 | C2 | semidirect |
| 4. #31823222 | C2 | semidirect |
| 5. #410×C281 | C2 | semidirect |
| 10. #22582877 | C4 | semidirect |
| 11. #22582875 | C4 | semidirect |
| 12. #22582868 | C4 | semidirect |
| 13. #22582866 | C4 | semidirect |
| 31. #17985122 | D4 | semidirect |
| 95. C281 | #1884 | semidirect |
| 100. #410 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31824230 | 2 |
| #31824009 | 2 |
| #31823481 | 2 |
| #31823222 | 2 |
| #410×C281 | 2 |
| #1884 | 281 |