Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
420 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 97 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. #10602420 | C2 | semidirect |
| 5. #10602417 | C2 | semidirect |
| 6. #10601287 | C2 | semidirect |
| 7. #10598204 | C2 | semidirect |
| 336. C5 | #10466 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3037 | 2 |
| #10602607 | 2 |
| #10602597 | 2 |
| #10602420 | 2 |
| #10602417 | 2 |
| #10601287 | 2 |
| #10598204 | 2 |
| #10466 | 5 |