Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1234 conjugacy classes of subgroups; only the 224 normal subgroups are shown.
This group has 1234 conjugacy classes of subgroups — too many to draw. Only its 224 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. D5⋊#432 | C2 | semidirect |
| 3. #10604916 | C2 | semidirect |
| 4. #10604598 | C2 | semidirect |
| 20. #65683 | C22 | semidirect |
| 22. #65676 | C22 | semidirect |
| 23. #64921 | C22 | semidirect |
| 319. C5 | #17675 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66050 | 2 |
| D5⋊#432 | 2 |
| #10604916 | 2 |
| #10604598 | 2 |
| #17675 | 5 |