Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
472 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 472 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. #10600766 | C2 | semidirect |
| 5. #10600295 | C2 | semidirect |
| 6. #10598178 | C2 | semidirect |
| 7. #10598117 | C2 | semidirect |
| 18. #65332 | C4 | semidirect |
| 20. #65322 | C4 | semidirect |
| 394. C5 | #9521 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614650 | 2 |
| #10614645 | 2 |
| C5×#1513 | 2 |
| #10600766 | 2 |
| #10600295 | 2 |
| #10598178 | 2 |
| #10598117 | 2 |
| #9521 | 5 |