Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
480 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 109 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. #10610304 | C2 | semidirect |
| 5. C2×#64716 | C2 | semidirect |
| 6. #10598220 | C2 | semidirect |
| 7. #10598162 | C2 | semidirect |
| 17. C2×#3959 | C4 | semidirect |
| 298. C5 | #13018 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#3959 | 2 |
| #10610304 | 2 |
| C5×#1978 | 2 |
| #10602826 | 2 |
| C2×#64716 | 2 |
| #10598220 | 2 |
| #10598162 | 2 |
| #13018 | 5 |