Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
830 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 830 conjugacy classes of subgroups — too many to draw. Only its 113 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×#65339 | C2 | semidirect |
| 4. C2×#64758 | C2 | semidirect |
| 6. #10600217 | C2 | semidirect |
| 7. #10598104 | C2 | semidirect |
| 452. C5 | #9965 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2639 | 2 |
| C2×#65339 | 2 |
| C2×#65329 | 2 |
| C2×#64758 | 2 |
| C2×#64757 | 2 |
| #10600217 | 2 |
| #10598104 | 2 |
| #9965 | 5 |