Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
386 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 131 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. #10602222 | C2 | semidirect |
| 5. #10598312 | C2 | semidirect |
| 208. C5 | #12924 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65414 | 2 |
| C2×C5×#349 | 2 |
| #10602793 | 2 |
| #10602222 | 2 |
| #10598312 | 2 |
| #12924 | 5 |