Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
446 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 3. #10600426 | C2 | semidirect |
| 4. #10600397 | C2 | semidirect |
| 6. #10598129 | C2 | semidirect |
| 7. #10598129 | C2 | semidirect |
| 362. C5 | #7765 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2727 | 2 |
| #10600431 | 2 |
| #10600426 | 2 |
| #10600397 | 2 |
| #10598130 | 2 |
| #10598129 | 2 |
| #7765 | 5 |