Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
430 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 139 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 |
|---|---|---|
| 15. C2×Dic40 | C4 | semidirect |
| 205. C5 | #13240 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic40 | 2 |
| C2×C5×#346 | 2 |
| C2×#64723 | 2 |
| C2×#64725 | 2 |
| #10600568 | 2 |
| #13240 | 5 |