Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
412 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 412 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. #10601617 | C2 | semidirect |
| 5. #10601317 | C2 | semidirect |
| 6. #10598244 | C2 | semidirect |
| 7. #10598207 | C2 | semidirect |
| 339. C5 | #9337 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2995 | 2 |
| #10614885 | 2 |
| #10602540 | 2 |
| #10601617 | 2 |
| #10601317 | 2 |
| #10598244 | 2 |
| #10598207 | 2 |
| #9337 | 5 |