Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
502 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 502 conjugacy classes of subgroups — too many to draw. Only its 144 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 |
|---|---|---|
| 33. C2×Dic20 | C8 | semidirect |
| 70. C2×#170 | Q16 | semidirect |
| 241. C5 | #9656 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65162 | 2 |
| C2×#64882 | 2 |
| C2×C8×#170 | 2 |
| #10604330 | 2 |
| C2×#64872 | 2 |
| #9656 | 5 |