Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
340 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 74 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 |
|---|---|---|
| 7. C2×C5×#106 | C4 | semidirect |
| 8. C2×#3950 | C4 | semidirect |
| 11. #64895 | C4 | semidirect |
| 13. #64891 | C4 | semidirect |
| 86. C2×#106 | AGL(1,𝔽5) | semidirect |
| 260. C5 | #7254 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64895 | 2 |
| C2×#64891 | 2 |
| #10601371 | 2 |
| #7254 | 5 |