Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
422 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 87 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. #10600478 | C2 | semidirect |
| 3. #10600463 | C2 | semidirect |
| 5. #10598133 | C2 | semidirect |
| 6. #10598133 | C2 | semidirect |
| 350. C5 | #7804 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2804 | 2 |
| #10600478 | 2 |
| #10600463 | 2 |
| #10600433 | 2 |
| #10598133 | 2 |
| #10598130 | 2 |
| #7804 | 5 |