Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
346 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 147 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 |
|---|---|---|
| 16. #64731 | C4 | semidirect |
| 181. C5 | #12659 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#347 | 2 |
| C2×#64731 | 2 |
| Dic5×#97 | 2 |
| C2×#64686 | 2 |
| #10598303 | 2 |
| #12659 | 5 |