Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
466 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 466 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 |
|---|---|---|
| 3. #10611087 | C2 | semidirect |
| 5. #10601623 | C2 | semidirect |
| 6. #10601596 | C2 | semidirect |
| 7. #10598247 | C2 | semidirect |
| 347. C5 | #10044 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615046 | 2 |
| #10615005 | 2 |
| #10611087 | 2 |
| C5×#1536 | 2 |
| #10601623 | 2 |
| #10601596 | 2 |
| #10598247 | 2 |
| #10044 | 5 |