Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
644 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 644 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 |
|---|---|---|
| 4. #10600783 | C2 | semidirect |
| 5. #10600318 | C2 | semidirect |
| 6. #10598178 | C2 | semidirect |
| 7. #10598117 | C2 | semidirect |
| 20. #65339 | C4 | semidirect |
| 22. #65329 | C4 | semidirect |
| 466. C5 | #9519 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614664 | 2 |
| #10614650 | 2 |
| C5×#1513 | 2 |
| #10600783 | 2 |
| #10600318 | 2 |
| #10598178 | 2 |
| #10598117 | 2 |
| #9519 | 5 |