Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
284 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 101 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. #31823421 | C2 | semidirect |
| 5. #31823419 | C2 | semidirect |
| 6. #31823234 | C2 | semidirect |
| 7. #344×C281 | C2 | semidirect |
| 14. C2×#17985121 | C4 | semidirect |
| 16. C2×C8×D281 | C4 | semidirect |
| 18. #22582797 | C4 | semidirect |
| 19. #22582795 | C4 | semidirect |
| 106. C281 | #1757 | semidirect |
| 114. #344 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582887 | 2 |
| #31823445 | 2 |
| #31823436 | 2 |
| #31823421 | 2 |
| #31823419 | 2 |
| #31823234 | 2 |
| #344×C281 | 2 |
| #1757 | 281 |