Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
846 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 846 conjugacy classes of subgroups — too many to draw. Only its 114 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×#64921 | C2 | semidirect |
| 3. C2×#64870 | C2 | semidirect |
| 4. #10604177 | C2 | semidirect |
| 5. #10604177 | C2 | semidirect |
| 424. C5 | #8336 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65891 | 2 |
| C2×#64921 | 2 |
| C2×#64870 | 2 |
| #10604177 | 2 |
| #8336 | 5 |