Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
372 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 5. C2×C5×C4⋊C8 | C4 | semidirect |
| 8. C2×C4×C5×C8 | C4 | semidirect |
| 12. #64748 | C4 | semidirect |
| 35. #3966 | C8 | semidirect |
| 81. C2×C4⋊C8 | Dic5 | semidirect |
| 86. C2×C4×C8 | Dic5 | semidirect |
| 261. C5 | #7205 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#1954 | 2 |
| C4×#3966 | 2 |
| #10602393 | 2 |
| #7205 | 5 |