Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
474 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 77 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. #10602796 | C2 | semidirect |
| 4. #10602788 | C2 | semidirect |
| 6. #10600773 | C2 | semidirect |
| 7. #10598178 | C2 | semidirect |
| 407. C5 | #10558 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614361 | 2 |
| C5×#1900 | 2 |
| #10602796 | 2 |
| #10602788 | 2 |
| #10602466 | 2 |
| #10600773 | 2 |
| #10598178 | 2 |
| #10558 | 5 |