Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
474 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 104 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 |
|---|---|---|
| 3. #10603858 | C2 | semidirect |
| 4. #10603827 | C2 | semidirect |
| 5. #10598622 | C2 | semidirect |
| 230. C4×C5 | #361 | semidirect |
| 332. C5 | #12818 | semidirect |
| 353. C4 | #64906 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D5×D8 | 2 |
| C2×#64906 | 2 |
| #10603858 | 2 |
| #10603827 | 2 |
| #10598622 | 2 |
| #12818 | 5 |