Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
460 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 101 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. #10602599 | C2 | semidirect |
| 3. #10602595 | C2 | semidirect |
| 4. #10602410 | C2 | semidirect |
| 5. C2×D4⋊#168 | C2 | semidirect |
| 6. #10601284 | C2 | semidirect |
| 7. #10598202 | C2 | semidirect |
| 369. C5 | #10456 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3036 | 2 |
| #10602599 | 2 |
| #10602595 | 2 |
| #10602410 | 2 |
| C2×D4⋊#168 | 2 |
| #10601284 | 2 |
| #10598202 | 2 |
| #10456 | 5 |