Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
542 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 97 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×#65369 | C2 | semidirect |
| 4. #10602579 | C2 | semidirect |
| 6. C2×#64685 | C2 | semidirect |
| 7. #10598150 | C2 | semidirect |
| 355. C5 | #10086 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#489 | 2 |
| C2×#65369 | 2 |
| #10614723 | 2 |
| #10602579 | 2 |
| C2×#64760 | 2 |
| C2×#64685 | 2 |
| #10598150 | 2 |
| #10086 | 5 |