Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
350 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 350 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 |
|---|---|---|
| 18. #65120 | C4 | semidirect |
| 20. #65119 | C4 | semidirect |
| 276. C5 | #8681 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10610775 | 2 |
| #10601586 | 2 |
| #10601538 | 2 |
| #10600340 | 2 |
| #10600339 | 2 |
| C5×#1286 | 2 |
| #10598204 | 2 |
| #8681 | 5 |