Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
302 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 9. C5×C4⋊C16 | C4 | semidirect |
| 13. C4⋊#672 | C4 | semidirect |
| 54. C4×Dic5 | C16 | semidirect |
| 66. C4⋊C16 | Dic5 | semidirect |
| 169. C5 | #7148 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2162 | 2 |
| C4×C8×Dic5 | 2 |
| #10600537 | 2 |
| #7148 | 5 |