Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
408 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 119 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. #10602631 | C2 | semidirect |
| 4. #10600559 | C2 | semidirect |
| 5. #10600519 | C2 | semidirect |
| 9. C5×#487 | C4 | semidirect |
| 10. C5×#486 | C4 | semidirect |
| 90. #487 | Dic5 | semidirect |
| 91. #486 | Dic5 | semidirect |
| 238. C5 | #9758 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3131 | 2 |
| #10602631 | 2 |
| #10602607 | 2 |
| #10600559 | 2 |
| #10600519 | 2 |
| #9758 | 5 |