Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
520 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 173 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. #31823367 | C2 | semidirect |
| 3. #31823355 | C2 | semidirect |
| 4. #31823353 | C2 | semidirect |
| 6. #31823337 | C2 | semidirect |
| 7. #31823334 | C2 | semidirect |
| 8. #31823329 | C2 | semidirect |
| 9. #382×C281 | C2 | semidirect |
| 13. #22582867 | C4 | semidirect |
| 35. C2×Dic562 | C2×C4 | semidirect |
| 51. #17985115 | C2×C4 | semidirect |
| 52. #17985115 | C2×C4 | semidirect |
| 61. C42×C281 | C2×C4 | semidirect |
| 127. C281 | #2379 | semidirect |
| 137. #382 | D281 | semidirect |
| 189. C42 | C4×D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582867 | 2 |
| #31823367 | 2 |
| #31823355 | 2 |
| #31823353 | 2 |
| #31823341 | 2 |
| #31823337 | 2 |
| #31823334 | 2 |
| #31823329 | 2 |
| #382×C281 | 2 |
| #2379 | 281 |