Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
262 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 262 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. #31823511 | C2 | semidirect |
| 5. #31823234 | C2 | semidirect |
| 6. #31823223 | C2 | semidirect |
| 7. #423×C281 | C2 | semidirect |
| 16. #22582807 | C4 | semidirect |
| 17. #22582807 | C4 | semidirect |
| 97. C281 | #1861 | semidirect |
| 101. #423 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31824229 | 2 |
| #31823511 | 2 |
| #31823479 | 2 |
| C2×#22582807 | 2 |
| #31823234 | 2 |
| #31823223 | 2 |
| #423×C281 | 2 |
| #1861 | 281 |