Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
418 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 73 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. #10602666 | C2 | semidirect |
| 3. #10602659 | C2 | semidirect |
| 6. #10600794 | C2 | semidirect |
| 7. #10598184 | C2 | semidirect |
| 359. C5 | #13430 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3200 | 2 |
| #10602666 | 2 |
| #10602659 | 2 |
| #10602655 | 2 |
| #10602648 | 2 |
| #10600794 | 2 |
| #10598184 | 2 |
| #13430 | 5 |