Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
466 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 100 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. #10604976 | C2 | semidirect |
| 3. #10604967 | C2 | semidirect |
| 4. #10604694 | C2 | semidirect |
| 5. #10604689 | C2 | semidirect |
| 365. C5 | #9672 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65077 | 2 |
| #10604976 | 2 |
| #10604967 | 2 |
| #10604694 | 2 |
| #10604689 | 2 |
| #10604290 | 2 |
| #10604270 | 2 |
| #9672 | 5 |