Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
330 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 4. #10601215 | C2 | semidirect |
| 5. #10598198 | C2 | semidirect |
| 6. #10598122 | C2 | semidirect |
| 7. #10598122 | C2 | semidirect |
| 266. C5 | #10638 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#1804 | 2 |
| #10602410 | 2 |
| #10602390 | 2 |
| #10601215 | 2 |
| #10598198 | 2 |
| #10598122 | 2 |
| #10638 | 5 |