Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
418 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 80 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. #10603901 | C2 | semidirect |
| 4. #10603900 | C2 | semidirect |
| 6. #10598557 | C2 | semidirect |
| 7. #10598557 | C2 | semidirect |
| 361. C5 | #8864 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617062 | 2 |
| #10604242 | 2 |
| #10603901 | 2 |
| #10603900 | 2 |
| #10598894 | 2 |
| #10598557 | 2 |
| #8864 | 5 |