Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
430 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 155 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. #10600537 | C2 | semidirect |
| 3. #10598164 | C2 | semidirect |
| 39. C2×C5×D4 | C16 | semidirect |
| 134. C2×D4 | #672 | semidirect |
| 188. C5 | #11487 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×C8×D4 | 2 |
| #10600537 | 2 |
| #10598164 | 2 |
| #11487 | 5 |