Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
422 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 11. C5×#500 | C4 | semidirect |
| 12. C5×#498 | C4 | semidirect |
| 106. #500 | Dic5 | semidirect |
| 107. #498 | Dic5 | semidirect |
| 265. C5 | #9427 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3165 | 2 |
| #10614962 | 2 |
| #10602630 | 2 |
| #10602569 | 2 |
| #10598157 | 2 |
| #9427 | 5 |