Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
332 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 89 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. #31823480 | C2 | semidirect |
| 3. C2×#22582807 | C2 | semidirect |
| 4. #31823436 | C2 | semidirect |
| 5. #31823233 | C2 | semidirect |
| 6. #31823223 | C2 | semidirect |
| 7. C4×#41×C281 | C2 | semidirect |
| 10. #22582909 | C4 | semidirect |
| 12. #22582904 | C4 | semidirect |
| 33. C2×Dic562 | C2×C4 | semidirect |
| 34. C2×D1124 | C2×C4 | semidirect |
| 44. #17985122 | C2×C4 | semidirect |
| 129. C281 | #1906 | semidirect |
| 132. C4×#41 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31824261 | 2 |
| #31823480 | 2 |
| C2×#22582807 | 2 |
| #31823436 | 2 |
| #31823233 | 2 |
| #31823223 | 2 |
| C4×#41×C281 | 2 |
| #1906 | 281 |