Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
518 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 518 conjugacy classes of subgroups — too many to draw. Only its 112 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 |
|---|---|---|
| 2. C2×#64912 | C2 | semidirect |
| 3. #10598832 | C2 | direct (N × H) |
| 13. #64912 | C22 | semidirect |
| 260. C2×C5 | #1321 | semidirect |
| 306. C5 | C2×#1321 | semidirect |
| 333. C2 | #10598832 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65523 | 2 |
| C2×#64912 | 2 |
| #10598832 | 2 |
| C2×#1321 | 5 |