Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
560 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 560 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. #10614033 | C2 | semidirect |
| 3. C4×C5×#100 | C2 | semidirect |
| 4. #10600653 | C2 | semidirect |
| 5. #10598157 | C2 | semidirect |
| 63. #3935 | D4 | semidirect |
| 66. C4×#100 | D5 | semidirect |
| 361. C5 | #9187 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614152 | 2 |
| #10614033 | 2 |
| C4×C5×#100 | 2 |
| #10600653 | 2 |
| #10598157 | 2 |
| #9187 | 5 |