Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
450 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 114 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. #10604702 | C2 | semidirect |
| 3. #10604694 | C2 | semidirect |
| 4. #10598609 | C2 | semidirect |
| 17. #64885 | C22 | semidirect |
| 18. #64882 | C22 | semidirect |
| 30. C2×D40 | C8 | semidirect |
| 237. C5 | #11593 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65161 | 2 |
| #10604702 | 2 |
| #10604694 | 2 |
| #10598609 | 2 |
| #11593 | 5 |