Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
554 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 101 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. #10614212 | C2 | semidirect |
| 5. #10602414 | C2 | semidirect |
| 6. #10601293 | C2 | semidirect |
| 7. #10598204 | C2 | semidirect |
| 102. C2×C5×Q8 | SD16 | semidirect |
| 310. C2×Q8 | #687 | semidirect |
| 410. C5 | #9999 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3037 | 2 |
| #10615046 | 2 |
| #10614212 | 2 |
| #10602607 | 2 |
| #10602414 | 2 |
| #10601293 | 2 |
| #10598204 | 2 |
| #9999 | 5 |