Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
486 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 113 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×#1546 | C2 | semidirect |
| 3. #10602582 | C2 | semidirect |
| 5. #10601534 | C2 | semidirect |
| 7. #10601283 | C2 | semidirect |
| 66. #1546 | D5 | semidirect |
| 285. C5 | #9804 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65377 | 2 |
| C5×#1546 | 2 |
| #10602582 | 2 |
| #10601567 | 2 |
| #10601534 | 2 |
| #10601314 | 2 |
| #10601283 | 2 |
| #9804 | 5 |