Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
440 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 127 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 |
|---|---|---|
| 39. C5×#97 | Q8 | semidirect |
| 151. #97 | Dic10 | semidirect |
| 246. C5 | #9895 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10605039 | 2 |
| C5×#1745 | 2 |
| #10600184 | 2 |
| #10598150 | 2 |
| #9895 | 5 |