Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
354 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 82 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. #10604710 | C2 | semidirect |
| 3. C2×#64881 | C2 | semidirect |
| 4. #10598799 | C2 | semidirect |
| 5. #10598607 | C2 | semidirect |
| 267. C5 | #11654 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10612428 | 2 |
| #10604710 | 2 |
| C2×#64881 | 2 |
| #10598799 | 2 |
| #10598607 | 2 |
| #11654 | 5 |