Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
272 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 63 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. #31823517 | C2 | semidirect |
| 3. #31823308 | C2 | semidirect |
| 4. #31823198 | C2 | semidirect |
| 5. #31823197 | C2 | semidirect |
| 6. #31823196 | C2 | semidirect |
| 7. #327×C281 | C2 | semidirect |
| 9. #22582878 | C4 | semidirect |
| 10. #22582875 | C4 | semidirect |
| 14. D4×Dic281 | C4 | semidirect |
| 15. #22582841 | C4 | semidirect |
| 119. C281 | #1505 | semidirect |
| 127. #327 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31824008 | 2 |
| #31823517 | 2 |
| #31823308 | 2 |
| #31823198 | 2 |
| #31823197 | 2 |
| #31823196 | 2 |
| #327×C281 | 2 |
| #1505 | 281 |