Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
470 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 131 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. #10615511 | C2 | semidirect |
| 3. #10602869 | C2 | semidirect |
| 4. #10602805 | C2 | semidirect |
| 5. #10598212 | C2 | semidirect |
| 9. C5×#470 | C4 | semidirect |
| 10. C5×#469 | C4 | semidirect |
| 51. #3944 | D4 | semidirect |
| 102. #470 | Dic5 | semidirect |
| 103. #469 | Dic5 | semidirect |
| 256. C5 | #13077 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3060 | 2 |
| #10615511 | 2 |
| #10602869 | 2 |
| #10602805 | 2 |
| #10598212 | 2 |
| #13077 | 5 |