Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
424 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 83 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. C5×#1485 | C2 | semidirect |
| 3. #10602627 | C2 | semidirect |
| 5. #10601546 | C2 | semidirect |
| 7. #10598160 | C2 | semidirect |
| 70. #1485 | D5 | semidirect |
| 305. C5 | #10492 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615086 | 2 |
| C5×#1485 | 2 |
| #10602627 | 2 |
| #10601567 | 2 |
| #10601546 | 2 |
| #10600669 | 2 |
| #10598160 | 2 |
| #10492 | 5 |