Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
440 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 95 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. #10599398 | C2 | semidirect |
| 3. #10599396 | C2 | semidirect |
| 6. #10597971 | C2 | semidirect |
| 7. #10597971 | C2 | semidirect |
| 357. C5 | #7696 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10608157 | 2 |
| #10599398 | 2 |
| #10599396 | 2 |
| C5×#1270 | 2 |
| #10598130 | 2 |
| #10597971 | 2 |
| #7696 | 5 |