Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
402 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 98 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×#107 | C4 | semidirect |
| 8. C2×#3950 | C4 | semidirect |
| 11. #64893 | C4 | semidirect |
| 13. #64887 | C4 | semidirect |
| 91. C2×#107 | AGL(1,𝔽5) | semidirect |
| 301. C5 | #7258 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64893 | 2 |
| C2×#64887 | 2 |
| #10601423 | 2 |
| #7258 | 5 |