Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
450 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 102 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. #10603825 | C2 | semidirect |
| 3. #10603815 | C2 | semidirect |
| 4. #10598801 | C2 | semidirect |
| 5. #10598609 | C2 | semidirect |
| 19. #64885 | C22 | semidirect |
| 21. #64882 | C22 | semidirect |
| 32. D5×D8 | C8 | semidirect |
| 288. C5 | #11593 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D5×D8 | 2 |
| #10603825 | 2 |
| #10603815 | 2 |
| #10598801 | 2 |
| #10598609 | 2 |
| #11593 | 5 |