Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1114 conjugacy classes of subgroups; only the 391 normal subgroups are shown.
This group has 1114 conjugacy classes of subgroups — too many to draw. Only its 391 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. #10615520 | C2 | semidirect |
| 3. C2×#65429 | C2 | semidirect |
| 4. #10602873 | C2 | semidirect |
| 5. C2×#64787 | C2 | semidirect |
| 16. C2×#3951 | C22 | semidirect |
| 17. C2×#3944 | C22 | semidirect |
| 18. C22×#672 | C22 | semidirect |
| 19. #64787 | C22 | semidirect |
| 20. #64787 | C22 | semidirect |
| 219. C5 | #33385 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3584 | 2 |
| #10615520 | 2 |
| C2×#65429 | 2 |
| #10602873 | 2 |
| C2×#64787 | 2 |
| #33385 | 5 |