Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
436 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 4. #10604333 | C2 | semidirect |
| 5. #10604275 | C2 | semidirect |
| 6. #10598562 | C2 | semidirect |
| 7. #10598557 | C2 | semidirect |
| 386. C5 | #9051 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617277 | 2 |
| #10613144 | 2 |
| #10604505 | 2 |
| #10604333 | 2 |
| #10604275 | 2 |
| #10598562 | 2 |
| #10598557 | 2 |
| #9051 | 5 |