Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
922 conjugacy classes of subgroups; only the 328 normal subgroups are shown.
This group has 922 conjugacy classes of subgroups — too many to draw. Only its 328 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. #10603780 | C2 | semidirect |
| 5. #10603779 | C2 | semidirect |
| 14. #65678 | C4 | semidirect |
| 216. C5 | #20538 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65678 | 2 |
| #10605879 | 2 |
| #10604313 | 2 |
| #10603780 | 2 |
| #10603779 | 2 |
| #20538 | 5 |