Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
518 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 518 conjugacy classes of subgroups — too many to draw. Only its 81 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. #10615073 | C2 | semidirect |
| 4. #10602630 | C2 | semidirect |
| 6. #10601607 | C2 | semidirect |
| 7. #10598243 | C2 | semidirect |
| 362. C5 | #10023 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3110 | 2 |
| #10615073 | 2 |
| #10614122 | 2 |
| #10602630 | 2 |
| #10602392 | 2 |
| #10601607 | 2 |
| #10598243 | 2 |
| #10023 | 5 |