Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1054 conjugacy classes of subgroups; only the 360 normal subgroups are shown.
This group has 1054 conjugacy classes of subgroups — too many to draw. Only its 360 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. #10603774 | C2 | semidirect |
| 10. C4×#700 | C4 | semidirect |
| 32. #4002 | C2×C4 | semidirect |
| 33. C4×#170 | C2×C4 | semidirect |
| 174. C5 | #20365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×#700 | 2 |
| D5×#376 | 2 |
| #10604172 | 2 |
| #10603774 | 2 |
| #20365 | 5 |