Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1402 conjugacy classes of subgroups; only the 248 normal subgroups are shown.
This group has 1402 conjugacy classes of subgroups — too many to draw. Only its 248 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. C2×#65678 | C2 | semidirect |
| 3. #10604983 | C2 | semidirect |
| 4. #10604945 | C2 | semidirect |
| 5. #10604241 | C2 | semidirect |
| 290. C5 | #21787 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66002 | 2 |
| C2×#65678 | 2 |
| #10604983 | 2 |
| #10604945 | 2 |
| #10604241 | 2 |
| #21787 | 5 |