Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
308 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 67 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. #10598040 | C2 | semidirect |
| 5. #10598038 | C2 | semidirect |
| 7. #65852 | C4 | semidirect |
| 12. #65381 | C4 | semidirect |
| 14. #65371 | C4 | semidirect |
| 18. #65289 | C4 | semidirect |
| 265. C5 | #13608 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615145 | 2 |
| C5×#2133 | 2 |
| #10602664 | 2 |
| #10598040 | 2 |
| #10598038 | 2 |
| #13608 | 5 |