Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
430 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 92 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. #10604709 | C2 | semidirect |
| 3. #10604697 | C2 | semidirect |
| 4. #10598609 | C2 | semidirect |
| 17. #64885 | C22 | semidirect |
| 19. #64882 | C22 | semidirect |
| 82. D40 | M16 | semidirect |
| 238. C5 | #11657 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65161 | 2 |
| #10604709 | 2 |
| #10604697 | 2 |
| #10598609 | 2 |
| #11657 | 5 |