Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
536 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 97 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. #10615638 | C2 | semidirect |
| 3. C2×#65484 | C2 | semidirect |
| 4. #10602879 | C2 | semidirect |
| 5. #10602869 | C2 | semidirect |
| 6. #10602238 | C2 | semidirect |
| 7. #10598304 | C2 | semidirect |
| 399. C5 | #13335 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3414 | 2 |
| #10615638 | 2 |
| C2×#65484 | 2 |
| #10602879 | 2 |
| #10602869 | 2 |
| #10602238 | 2 |
| #10598304 | 2 |
| #13335 | 5 |