Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
358 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 143 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. #10602220 | C2 | semidirect |
| 5. #10598298 | C2 | semidirect |
| 8. C2×C5×M32 | C4 | semidirect |
| 10. C22×C5×C16 | C4 | semidirect |
| 75. C2×M32 | Dic5 | semidirect |
| 77. C22×C16 | Dic5 | semidirect |
| 184. C5 | #12832 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#504 | 2 |
| #10602807 | 2 |
| #10602805 | 2 |
| #10602220 | 2 |
| #10598298 | 2 |
| #12832 | 5 |