Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
402 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 85 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. #10611048 | C2 | semidirect |
| 5. #10600359 | C2 | semidirect |
| 6. #10598245 | C2 | semidirect |
| 7. #10598124 | C2 | semidirect |
| 12. #65382 | C4 | semidirect |
| 13. #65367 | C4 | semidirect |
| 14. #65365 | C4 | semidirect |
| 15. #65359 | C4 | semidirect |
| 288. C5 | #9418 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615025 | 2 |
| #10611048 | 2 |
| C5×#1514 | 2 |
| #10602592 | 2 |
| #10600359 | 2 |
| #10598245 | 2 |
| #10598124 | 2 |
| #9418 | 5 |