Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
506 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 506 conjugacy classes of subgroups — too many to draw. Only its 113 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. #10601571 | C2 | semidirect |
| 5. #10601535 | C2 | semidirect |
| 6. #10601309 | C2 | semidirect |
| 7. #10601299 | C2 | semidirect |
| 287. C5 | #9777 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65365 | 2 |
| C5×#1545 | 2 |
| #10602552 | 2 |
| #10601571 | 2 |
| #10601535 | 2 |
| #10601309 | 2 |
| #10601299 | 2 |
| #9777 | 5 |