Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
316 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 61 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. #10599891 | C2 | semidirect |
| 4. #10599631 | C2 | semidirect |
| 6. #10598015 | C2 | semidirect |
| 7. #10597977 | C2 | semidirect |
| 280. C5 | #12290 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10612435 | 2 |
| #10601861 | 2 |
| #10599891 | 2 |
| #10599631 | 2 |
| C5×#1347 | 2 |
| #10598015 | 2 |
| #10597977 | 2 |
| #12290 | 5 |