Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
304 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 304 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 |
|---|---|---|
| 4. #10601546 | C2 | semidirect |
| 5. #10601535 | C2 | semidirect |
| 6. #10598234 | C2 | semidirect |
| 7. #10598230 | C2 | semidirect |
| 274. C5 | #9588 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#1543 | 2 |
| #10602595 | 2 |
| #10602594 | 2 |
| #10601546 | 2 |
| #10601535 | 2 |
| #10598234 | 2 |
| #10598230 | 2 |
| #9588 | 5 |