Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
484 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 99 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. #10599400 | C2 | semidirect |
| 3. #10599390 | C2 | semidirect |
| 4. C5×#1271 | C2 | semidirect |
| 5. #10598129 | C2 | semidirect |
| 64. #1271 | D5 | semidirect |
| 359. C5 | #7608 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10607692 | 2 |
| #10599400 | 2 |
| #10599390 | 2 |
| C5×#1271 | 2 |
| #10598129 | 2 |
| #10597970 | 2 |
| #7608 | 5 |