Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
546 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 546 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×#65470 | C2 | semidirect |
| 5. C2×#64785 | C2 | semidirect |
| 6. C2×#64737 | C2 | semidirect |
| 7. #10598301 | C2 | semidirect |
| 367. C5 | #13333 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#510 | 2 |
| C2×#65484 | 2 |
| C2×#65470 | 2 |
| #10602877 | 2 |
| C2×#64785 | 2 |
| C2×#64737 | 2 |
| #10598301 | 2 |
| #13333 | 5 |