Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
424 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 99 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. #10614858 | C2 | semidirect |
| 3. #10602606 | C2 | semidirect |
| 4. #10602594 | C2 | semidirect |
| 5. #10602550 | C2 | semidirect |
| 6. #10598247 | C2 | semidirect |
| 7. #10598243 | C2 | semidirect |
| 10. C5×#497 | C4 | semidirect |
| 11. C5×#496 | C4 | semidirect |
| 12. C5×#491 | C4 | semidirect |
| 13. C5×#490 | C4 | semidirect |
| 148. #497 | Dic5 | semidirect |
| 149. #496 | Dic5 | semidirect |
| 150. #491 | Dic5 | semidirect |
| 151. #490 | Dic5 | semidirect |
| 381. C5 | #9370 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3219 | 2 |
| #10614858 | 2 |
| #10602606 | 2 |
| #10602594 | 2 |
| #10602550 | 2 |
| #10598247 | 2 |
| #10598243 | 2 |
| #9370 | 5 |