Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
412 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 4. #10597977 | C2 | semidirect |
| 7. C22×Dic20 | C4 | semidirect |
| 12. #65405 | C4 | semidirect |
| 14. C2×#3950 | C4 | semidirect |
| 265. C5 | #11889 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65405 | 2 |
| C5×#1807 | 2 |
| #10602756 | 2 |
| #10597977 | 2 |
| #11889 | 5 |