Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
310 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 77 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. #10599885 | C2 | semidirect |
| 3. #10599721 | C2 | semidirect |
| 6. #10598020 | C2 | semidirect |
| 7. #10597979 | C2 | semidirect |
| 276. C5 | #11861 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10612427 | 2 |
| #10599885 | 2 |
| #10599721 | 2 |
| C5×#1349 | 2 |
| #10598266 | 2 |
| #10598020 | 2 |
| #10597979 | 2 |
| #11861 | 5 |