Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
442 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 116 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 |
|---|---|---|
| 3. C4×#3996 | C2 | semidirect |
| 4. #10603823 | C2 | semidirect |
| 5. #10598620 | C2 | semidirect |
| 20. #64909 | C4 | semidirect |
| 48. #3996 | C2×C4 | semidirect |
| 50. D5⋊C16 | C2×C4 | semidirect |
| 284. C5 | #12640 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#4065 | 2 |
| C2×#64909 | 2 |
| C4×#3996 | 2 |
| #10603823 | 2 |
| #10598620 | 2 |
| #12640 | 5 |