Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
474 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 1. #10617546 | C2 | semidirect |
| 3. #10605002 | C2 | semidirect |
| 4. #10604936 | C2 | semidirect |
| 5. #10604915 | C2 | semidirect |
| 6. #10598795 | C2 | semidirect |
| 7. #10598788 | C2 | semidirect |
| 386. C5 | #9349 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617546 | 2 |
| #10615664 | 2 |
| #10605002 | 2 |
| #10604936 | 2 |
| #10604915 | 2 |
| #10598795 | 2 |
| #10598788 | 2 |
| #9349 | 5 |