Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
284 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 79 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. #31823499 | C2 | semidirect |
| 3. #31823481 | C2 | semidirect |
| 4. #31823480 | C2 | semidirect |
| 5. #31823436 | C2 | semidirect |
| 6. #31823419 | C2 | semidirect |
| 7. #410×C281 | C2 | semidirect |
| 13. C2×#17985128 | C4 | semidirect |
| 14. C2×#17985126 | C4 | semidirect |
| 15. C2×#17985125 | C4 | semidirect |
| 16. C2×#17985123 | C4 | semidirect |
| 132. C281 | #1976 | semidirect |
| 139. #410 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582899 | 2 |
| #31823499 | 2 |
| #31823481 | 2 |
| #31823480 | 2 |
| #31823436 | 2 |
| #31823419 | 2 |
| #410×C281 | 2 |
| #1976 | 281 |