Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
560 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 107 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. #10600768 | C2 | semidirect |
| 5. #10598174 | C2 | semidirect |
| 17. #65275 | C4 | semidirect |
| 18. #65272 | C4 | semidirect |
| 19. #65242 | C4 | semidirect |
| 21. #65238 | C4 | semidirect |
| 333. C5 | #9011 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2973 | 2 |
| #10614077 | 2 |
| C4×#3966 | 2 |
| #10600768 | 2 |
| #10598174 | 2 |
| #9011 | 5 |