Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
506 conjugacy classes of subgroups; only the 142 normal subgroups are shown.
This group has 506 conjugacy classes of subgroups — too many to draw. Only its 142 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 |
|---|---|---|
| 3. #10603892 | C2 | semidirect |
| 5. #10598556 | C2 | semidirect |
| 32. C2×#700 | C8 | semidirect |
| 36. C2×D5⋊C8 | C8 | semidirect |
| 289. C5 | #8156 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65701 | 2 |
| #10604289 | 2 |
| #10603892 | 2 |
| #10598917 | 2 |
| #10598556 | 2 |
| #8156 | 5 |