Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1614 conjugacy classes of subgroups; only the 296 normal subgroups are shown.
This group has 1614 conjugacy classes of subgroups — too many to draw. Only its 296 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×#65776 | C2 | semidirect |
| 3. C2×#65682 | C2 | semidirect |
| 4. C2×#65676 | C2 | semidirect |
| 5. #10604949 | C2 | semidirect |
| 41. C2×D5⋊C8 | D4 | semidirect |
| 281. C5 | #21188 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66050 | 2 |
| C2×#65776 | 2 |
| C2×#65682 | 2 |
| C2×#65676 | 2 |
| #10604949 | 2 |
| #21188 | 5 |