Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
424 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 99 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. #10600837 | C2 | semidirect |
| 5. #10598187 | C2 | semidirect |
| 17. C5×#354 | C4 | semidirect |
| 18. C5×#353 | C4 | semidirect |
| 105. #354 | Dic5 | semidirect |
| 106. #353 | Dic5 | semidirect |
| 253. C5 | #12968 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615009 | 2 |
| C5×#2126 | 2 |
| #10602610 | 2 |
| #10600837 | 2 |
| #10598187 | 2 |
| #12968 | 5 |