Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
530 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 107 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. #10614056 | C2 | semidirect |
| 3. #10602611 | C2 | semidirect |
| 4. #10602605 | C2 | semidirect |
| 5. #10602392 | C2 | semidirect |
| 6. #10598241 | C2 | semidirect |
| 7. #10598239 | C2 | semidirect |
| 11. C5×#476 | C4 | semidirect |
| 12. C5×#459 | C4 | semidirect |
| 128. #476 | Dic5 | semidirect |
| 129. #459 | Dic5 | semidirect |
| 353. C5 | #9329 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3109 | 2 |
| #10614056 | 2 |
| #10602611 | 2 |
| #10602605 | 2 |
| #10602392 | 2 |
| #10598241 | 2 |
| #10598239 | 2 |
| #9329 | 5 |