Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
588 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 588 conjugacy classes of subgroups — too many to draw. Only its 97 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. #31823481 | C2 | semidirect |
| 3. #31823479 | C2 | semidirect |
| 4. #31823468 | C2 | semidirect |
| 5. #31823445 | C2 | semidirect |
| 6. #31823436 | C2 | semidirect |
| 7. #418×C281 | C2 | semidirect |
| 15. C2×#17985137 | C4 | semidirect |
| 18. C2×D4×D281 | C4 | semidirect |
| 19. C2×#17985122 | C22 | semidirect |
| 20. #22582838 | C22 | semidirect |
| 28. C2×M16×C281 | C22 | semidirect |
| 29. #117×C281 | C22 | semidirect |
| 153. C281 | #1795 | semidirect |
| 159. #418 | D281 | semidirect |
| 175. C2×M16 | C2×D281 | semidirect |
| 177. #117 | C2×D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582924 | 2 |
| #31823481 | 2 |
| #31823479 | 2 |
| #31823468 | 2 |
| #31823445 | 2 |
| #31823436 | 2 |
| #418×C281 | 2 |
| #1795 | 281 |