Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
576 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 576 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. #31823363 | C2 | semidirect |
| 3. #31823355 | C2 | semidirect |
| 4. #31823346 | C2 | semidirect |
| 5. #31823341 | C2 | semidirect |
| 6. #31823339 | C2 | semidirect |
| 7. #31823337 | C2 | semidirect |
| 8. #31823323 | C2 | semidirect |
| 9. #381×C281 | C2 | semidirect |
| 13. #22582853 | C4 | semidirect |
| 37. C2×C22⋊D281 | C2×C4 | semidirect |
| 45. C4⋊Dic281 | C2×C4 | semidirect |
| 52. #17985115 | C2×C4 | semidirect |
| 56. C22×C4×C281 | C2×C4 | semidirect |
| 129. C281 | #2377 | semidirect |
| 138. #381 | D281 | semidirect |
| 176. C22×C4 | C4×D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582853 | 2 |
| #31823363 | 2 |
| #31823355 | 2 |
| #31823346 | 2 |
| #31823341 | 2 |
| #31823339 | 2 |
| #31823337 | 2 |
| #31823323 | 2 |
| #381×C281 | 2 |
| #2377 | 281 |