Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
490 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 4. C2×#64698 | C2 | semidirect |
| 5. C2×#64698 | C2 | semidirect |
| 6. #10600890 | C2 | semidirect |
| 7. Dic5×#101 | C2 | semidirect |
| 424. C5 | #13228 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614703 | 2 |
| C2×C5×#355 | 2 |
| C2×#64762 | 2 |
| C2×#64698 | 2 |
| #10600890 | 2 |
| Dic5×#101 | 2 |
| #13228 | 5 |