Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
694 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 694 conjugacy classes of subgroups — too many to draw. Only its 163 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. C5×#1834 | C2 | semidirect |
| 3. C2×#64674 | C2 | semidirect |
| 4. #10600373 | C2 | semidirect |
| 5. #10600373 | C2 | semidirect |
| 15. #64984 | C4 | semidirect |
| 46. #1834 | D5 | semidirect |
| 78. C2×#168 | D8 | semidirect |
| 233. C5 | #9832 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64984 | 2 |
| C5×#1834 | 2 |
| C2×#64674 | 2 |
| #10600373 | 2 |
| #9832 | 5 |