Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
348 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 9. #65224 | C4 | semidirect |
| 10. C2×C4×#168 | C4 | semidirect |
| 12. C5×#353 | C4 | semidirect |
| 14. #64765 | C4 | semidirect |
| 86. #353 | Dic5 | semidirect |
| 259. C5 | #7498 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#353 | 2 |
| C2×#64765 | 2 |
| #10602557 | 2 |
| #7498 | 5 |