Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
392 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 392 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 |
|---|---|---|
| 4. #10604699 | C2 | semidirect |
| 5. C8×#704 | C2 | semidirect |
| 6. #10604299 | C2 | semidirect |
| 7. #10604266 | C2 | semidirect |
| 325. C5 | #9789 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65089 | 2 |
| #10604978 | 2 |
| #10604960 | 2 |
| #10604699 | 2 |
| C8×#704 | 2 |
| #10604299 | 2 |
| #10604266 | 2 |
| #9789 | 5 |