Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
544 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 1. C5×#3094 | C2 | semidirect |
| 3. #10613948 | C2 | semidirect |
| 4. #10602469 | C2 | semidirect |
| 5. #10602377 | C2 | semidirect |
| 6. #10600763 | C2 | semidirect |
| 7. #10598178 | C2 | semidirect |
| 85. #3094 | D5 | semidirect |
| 389. C5 | #9977 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3094 | 2 |
| #10614356 | 2 |
| #10613948 | 2 |
| #10602469 | 2 |
| #10602377 | 2 |
| #10600763 | 2 |
| #10598178 | 2 |
| #9977 | 5 |