Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
468 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 81 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. #10615105 | C2 | semidirect |
| 4. #10602629 | C2 | semidirect |
| 6. #10601629 | C2 | semidirect |
| 7. #10598249 | C2 | semidirect |
| 357. C5 | #10216 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3235 | 2 |
| #10615105 | 2 |
| #10615005 | 2 |
| #10602629 | 2 |
| #10602609 | 2 |
| #10601629 | 2 |
| #10598249 | 2 |
| #10216 | 5 |