Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
756 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 756 conjugacy classes of subgroups — too many to draw. Only its 139 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 |
|---|---|---|
| 1. C2×C5×#376 | C2 | semidirect |
| 3. #10602324 | C2 | semidirect |
| 5. #10598103 | C2 | semidirect |
| 17. #65228 | C4 | semidirect |
| 18. #65217 | C4 | semidirect |
| 53. C2×#376 | D5 | semidirect |
| 303. C5 | #9149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#376 | 2 |
| #10613811 | 2 |
| #10602324 | 2 |
| C2×#64671 | 2 |
| #10598103 | 2 |
| #9149 | 5 |