Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
284 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 4. #31823418 | C2 | semidirect |
| 5. #31823235 | C2 | semidirect |
| 6. #31823233 | C2 | semidirect |
| 7. #405×C281 | C2 | semidirect |
| 15. C2×#17985121 | C4 | semidirect |
| 16. C2×C8×D281 | C4 | semidirect |
| 18. #22582797 | C4 | semidirect |
| 19. #22582795 | C4 | semidirect |
| 106. C281 | #1757 | semidirect |
| 112. #405 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582885 | 2 |
| #31823445 | 2 |
| #31823436 | 2 |
| #31823418 | 2 |
| #31823235 | 2 |
| #31823233 | 2 |
| #405×C281 | 2 |
| #1757 | 281 |