Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
330 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 4. #10601399 | C2 | semidirect |
| 5. #10598308 | C2 | semidirect |
| 6. #10598301 | C2 | semidirect |
| 7. #10598214 | C2 | semidirect |
| 270. C5 | #13484 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2139 | 2 |
| #10602877 | 2 |
| #10602871 | 2 |
| #10601399 | 2 |
| #10598308 | 2 |
| #10598301 | 2 |
| #10598214 | 2 |
| #13484 | 5 |