Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
516 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 516 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 |
|---|---|---|
| 2. #10610351 | C2 | semidirect |
| 5. #10600327 | C2 | semidirect |
| 6. #10598173 | C2 | semidirect |
| 7. #10598119 | C2 | semidirect |
| 14. #65510 | C4 | semidirect |
| 15. #65510 | C4 | semidirect |
| 21. #65266 | C4 | semidirect |
| 22. #65265 | C4 | semidirect |
| 429. C5 | #9446 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614394 | 2 |
| #10610351 | 2 |
| C5×#1510 | 2 |
| #10602467 | 2 |
| #10600327 | 2 |
| #10598173 | 2 |
| #10598119 | 2 |
| #9446 | 5 |