Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
548 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 107 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. C5×#1810 | C2 | semidirect |
| 3. C8×C22⋊Dic5 | C2 | semidirect |
| 4. #10600770 | C2 | semidirect |
| 5. #10600763 | C2 | semidirect |
| 8. C22×D40 | C4 | semidirect |
| 17. C2×#3953 | C4 | semidirect |
| 18. C2×#3950 | C4 | semidirect |
| 60. #1810 | D5 | semidirect |
| 311. C5 | #9815 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65404 | 2 |
| C5×#1810 | 2 |
| C8×C22⋊Dic5 | 2 |
| #10600770 | 2 |
| #10600763 | 2 |
| #9815 | 5 |