Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
560 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 185 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. #31823370 | C2 | semidirect |
| 3. #31823355 | C2 | semidirect |
| 4. #31823353 | C2 | semidirect |
| 6. C4×#17985115 | C2 | semidirect |
| 7. #31823310 | C2 | semidirect |
| 8. #31823308 | C2 | semidirect |
| 9. #391×C281 | C2 | semidirect |
| 12. #22582868 | C4 | semidirect |
| 46. #17985115 | C2×C4 | semidirect |
| 47. #17985115 | C2×C4 | semidirect |
| 51. C4×Dic281 | C2×C4 | semidirect |
| 54. C2×Q8×C281 | C2×C4 | semidirect |
| 123. C281 | #2372 | semidirect |
| 127. #391 | D281 | semidirect |
| 159. C2×Q8 | C4×D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582868 | 2 |
| #31823370 | 2 |
| #31823355 | 2 |
| #31823353 | 2 |
| #31823341 | 2 |
| C4×#17985115 | 2 |
| #31823310 | 2 |
| #31823308 | 2 |
| #391×C281 | 2 |
| #2372 | 281 |