Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
412 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 103 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. #10601288 | C2 | semidirect |
| 5. #10598102 | C2 | semidirect |
| 15. #64766 | C4 | semidirect |
| 16. #64764 | C4 | semidirect |
| 17. #64764 | C4 | semidirect |
| 207. C5 | #8934 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615009 | 2 |
| C5×#1962 | 2 |
| #10602598 | 2 |
| #10601288 | 2 |
| #10598102 | 2 |
| #8934 | 5 |