Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
436 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 89 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. #10611048 | C2 | semidirect |
| 5. #10601608 | C2 | semidirect |
| 6. #10598245 | C2 | semidirect |
| 7. #10598244 | C2 | semidirect |
| 267. C5 | #9424 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614890 | 2 |
| #10611048 | 2 |
| C5×#1555 | 2 |
| #10602553 | 2 |
| #10601608 | 2 |
| #10598245 | 2 |
| #10598244 | 2 |
| #9424 | 5 |